Book cover Curve - 5G Classes

fdlh xk¡o es ,d lkèkq jgk djrk Fkk] oks tc Hkh ukprk rks ckfj'k gksrh Fkh vr% xko osQ yksxksa dks tc Hkh ckfj'k

dh t:jr gksrh Fkh] rks os yksx lkèkq osQ ikl tkrs vkSj muls vuqjksèk djrs dh os ukps vkSj tc oks ukpus yxrk

rks ckfj'k t+:j gksrhA

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ckfj'k gksrh gS rks mUgsa ;dhu ugha gqvkA

'kgjh i<kbZ fy• kbZ osQ ?keaM esa mUgksaus xk¡o okyksa dks pqukSrh ns nh fd ge Hkh ukpsaxs rks ckfj'k gksxh vkSj vxj

gekjs ukpus ls ugha gqbZ rks ml lkèkq osQ ukpus ls Hkh ugha gksxhA

fiQj D;k Fkk vxys fnu lqcg&lqcg gh xk¡o okys mu yM+dksa dks ysdj lkèkq dh oqQfV;k ij igqapsA

lkèkq dks lkjh ckr crkbZ x;h] fiQj yM+dksa us ukpuk 'kq: fd;k

vkèks ?kaVs chrs vkSj igyk yM+dk Fkd dj cSB x;k ij ckny ugha fn• s

oqQN nsj esa nwljs us Hkh ;gh fd;k vkSj ,d ?kaVk chrrs&chrrs ckdh nksuksa yM+osQ Hkh Fkd dj cSB x,] ij ckfj'k

ugha gqbZA

vc lkèkq dh ckjh Fkh mlus ukpuk 'kq: fd;k] ,d ?kaVk chrk] ckfj'k ugha gqbZ] lkèkq ukprk jgk nks ?kaVk chrk

ckfj'k ugha gqbZ ij lkèkq rks #dus dk uke gh ugha ys jgk Fkk] èkhjs&èkhjs 'kke <yus yxh fd rHkh cknyksa dh

xM+xMkgr lqukbZ nh vkSj t+ksjksa dh ckfj'k gksus yxhA yM+osQ nax jg x,A

vkSj rqjar lkèkq ls {kek ekaxh vkSj iwNk&

¶ckck Hkyk ,slk D;ksa gqvk fd gekjs ukpus ls ckfj'k ugha gqbZ vkSj vkiosQ ukpus ls gks x;h \

lkèkq us mÙkj fn;k & ¶ tc eSa ukprk gw¡ rks nks ckrksa dk è;ku j• rk gw¡ ]

igyh ckr eSa ;s lksprk gw¡ fd vxj eSa ukpw¡xk rks ckfj'k dks gksuk gh iM+sxk vkSj nwljh ;s fd eSa rc rd ukpw¡xk

tc rd fd ckfj'k u gks tk;sA

liQyrk ikus okyksa esa ;gh xq.k fo|eku gksrk gS

oks ftl pht dks djrs gSa mles mUgsa liQy gksus dk iwjk ;dhu gksrk gS vkSj os rc rd ml pht dks djrs gSa tc

rd fd mles liQy uk gks tk,aA

blfy, ;fn gesa liQyrk gkafly djuh gS rks ml lkèkq dh rjg gh vius y{; dks çkIr djuk gksxkA

SURE60

1

CONTENTS

CGL TIER – I, 2019 11. CGL TIER – I, 2019 1

SOLUTION2. CGL TIER – I, 2019 6

















SOLUTION CPO Maths–2020 92

1. PAPER - 1 92SOLUTION





6. PAPER -6 137SOLUTION

CHSL EXAMINATION – 20201471. PAPER - 1 147

SOLUTION2. PAPER - 2 151


















SOLUTION


















CGL TIER – 2, 2020 2941. PAPER - 1 294



SOLUTION CPO TIER – I, 2019 347

1. CPO TIER – I, 2019 347SOLUTION

2








9. CGL TIER – I, 2018 432 CGL TIER – I, 2018 432

1. CGL TIER – I, 2018 432SOLUTION















16. CGL TIER – I, 2018 504






SOLUTION CGL MAINS 2018 529

1. CGL MAINS 2018 529SOLUTION



CPO TIER – I, 2018 5921. CPO TIER – I, 2018 592

SOLUTION2. CPO TIER – I, 2018 601










SOLUTION CHSL (10 + 2) 694

1. CHSL (10 + 2), 2018 694SOLUTION

2. CHSL (10 + 2), 2018 700SOLUTION

3. CHSL (10 + 2), 2018 705SOLUTION

4. CHSL (10 + 2), 2018 711SOLUTION

5. CHSL (10 + 2), 2018 717SOLUTION

6. CHSL (10 + 2), 2018 722SOLUTION

7. CHSL (10 + 2), 2018 728SOLUTION

8. CHSL (10 + 2), 2018 734SOLUTION

9. CHSL (10 + 2), 2018 740SOLUTION

10. CHSL (10 + 2), 2018 745SOLUTION

11. CHSL (10 + 2), 2018 750SOLUTION

12. CHSL (10 + 2), 2018 754SOLUTION

13. CHSL (10 + 2), 2018 759SOLUTION

14. CHSL (10 + 2), 2018 764SOLUTION

15. CHSL (10 + 2), 2018 769SOLUTION

16. CHSL (10 + 2), 2018 774SOLUTION

17. CHSL (10 + 2), 2018 779SOLUTION

18. CHSL (10 + 2), 2018 785SOLUTION

19. CHSL (10 + 2), 2018 790SOLUTION

20. CHSL (10 + 2), 2018 796SOLUTION

21. CHSL (10 + 2), 2018 802SOLUTION

22. CHSL (10 + 2), 2018 807SOLUTION

23. CHSL (10 + 2), 2018 813SOLUTION

24. CHSL (10 + 2), 2018 818SOLUTION

25. CHSL (10 + 2), 2018 823SOLUTION

Gaurav Sir

Gaurav Sir1

CGL TIER – I, 2019

CGL TIER – I, 2019SHIFT – Ist

TEST DATE 03/03/2020

1- A, B and C can individually complete a piece of work in 24days, 15 days and 12 days respectively. B and C started thework and worked for 3 days and left. The number of daysrequired by A alone to complete the remainingwork is?A, B vkSj C vyx&vyx fdl h dke dks Øe' k% 24] 15 vkSj12 fnuksa esa i wjk dj l drs gSaA B vkSj C us dk; Z i zkjaHk fd; k vkSjrhu fnu ds ckn ml s NksM+ fn; kA A vdsys ' ks"k dk; Z dks fdrus fnuesa i wjk djsxk\(a) 11 (b) 15.5(c) 18 (d) 13.2

2- If A lies in the first quadrant and 6 tan A = 5, then the value

of 8sin A 4cos Acos A 2sin A

is

; fn A i zFke prqFkk±' k esa fLFkr gS vkSj 6 tan A = 5 gS rks

8sin A 4cos Acos A 2sin A

dk eku crk; sa\

(a) 1 (b) 4(c) -2 (d) 16

3- If x-y = 4 and xy = 45, then the value of x3 – y3 is

; fn x-y = 4 vkSj xy = 45 gS] rks x3 – y3 dk eku --------- gS\(a) 604 (b) 822(c) 151 (d) 82

4- The radius of a circular garden is 42 m. The distance (in m)covered by running 8 rounds around, it is:-, d oÙkkdkj mn~; ku dh f=kT; k 42 l seh gSA bl oÙk ds 8 pDdj

yxkus esa r; dh xbZ dqy nwjh (ehVj esa) D; k gS\ 227

(a) 1124 (b) 2112(c) 3248 (d) 4262

5- The given table shows the number (in thousands) of carsof five different models, A, B, C, D and E produced duringyears 2012-2017. Study the table and answer the questionsthat follow.nh xbZ rkfydk o"kZ 2012&2017 ds nkSjku fofHkÂ ekWMy A, B, C,

D vkSj E dh mRi fÙk dkjksa dh dqy l a[ ; k (gt kjksa esa) dks n' kkZrhgSA rkfydk dk vè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsa\

In the years 2015, which type of car constitutes exactly20% of the total number of cars produced that year?2015 esa mRi fÙk fdl i zdkj dh dkjksa dh l a[ ; k] ml o"kZ esamRi kfnr dqy dkjksa dh l a[ ; k dk Bhd 20» gS\(a) E (b) A(c) D (d) B

+6- A person sells an article at 10% below its cost price. If hesold it for 332 rupees more, he would have made a profit of20%. What is the original selling price (in rupees) of thearticle?, d O; fDr , d oLrq dks ml ds Ø; ewY; l s 10» de i j csprkgSA ; fn ml us bl s #i ; s 332 v f/ d esa cspk gksrk rks ml s 20» dkykHk dek; k gksrkA oLrq dk vkjafHkd foØ; ewY; (#i ; s esa) D; kgS\(a) 1028 (b) 1328(c) 996 (d) 896

7- If ‘+’ means ‘-‘, ‘-‘ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’,

then the value of 42 12 3 8 2 15

8 2 4 9 3 is?

; fn ‘+’ dk vFkZ ‘–’ gS ‘–’ dk vFkZ ‘+’ gS ‘×’ dk vFkZ ‘÷’ gS

‘÷’ dk vFkZ ‘×’ gS] rks l ehdj.k 42 12 3 8 2 15

8 2 4 9 3

dk

eku gksxk\

(a)1519 (b)

53

(c) –1519 (d)

53

8- The given table shows the number (in thousands) of carsof five different models, A, B, C, D and E produced duringyears 2012-2017. Study the table and answer the questionsthat follow.nh xbZ rkfydk o"kZ 2012&2017 ds nkSjku fofHkÂ ekWMy A, B, C,

Gaurav Sir

2Gaurav Sir

D vkSj E dh mRi fÙk dkjksa dh dqy l a[ ; k (gt kjksa esa) dks n' kkZrhgSA rkfydk dk vè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsa\

If 2013 and 2014 are put together, which type of carsconstitute exactly 25% of the total number of cars producedin those 2 years?2013 vkSj 2014 eas feydj fdl i zdkj dh dkjksa dh l a[ ; k] munks o"kk±s esa mRi kfnr dkjksa dh l a[ ; k dk Bhd 25» gS\(a) B (b) E(c) C (d) D

9- A, B and C are three points on a circle such that anglessubtended by the chord AB and AC at the center O are110° And 130°, respectively. Then, the value of BAC is:-; fn A, B vkSj C fdl h oÙk i j rhu fcUnq bl i zdkj gS] fd t hok, ¡AB vkSj AC oÙk ds dsUnz O i j Øe' k% 110º vkSj 130º dk dks.kcukrh gS] rks dks.k BAC dk eki D; k gksxk\(a) 65º (b) 60º(c) 70º (d) 75º

10- A train crosses a pole in 12 sec, and a bridge of length170m in 36 sec. Then, the speed of the train is:-dksbZ jsyxkM+h , d [ kaHks dks 12 l sds.M esa vkSj 170 eh- yEcs , di qy dks 36 l sds.M esa i kj dj ysrh gS] rks ml jsyxkM+h dh pky----- gS\(a) 30.75 km/hr (b) 10.8 km/hr(c) 25.5 km/hr (d) 32.45 km/hr

11- The ratio of the number of boys to the number of girls in aschool of 640 students, is 5:3, if 30 more girls are admittedin the school, then how many more boys should be admittedso that the ratio of boys of that of the girls, become 14:9?, d fo| ky; eas fo| kfFkZ; ksa dh dqy l a[ ; k 640 gS] ft uesa yM+dksadh l a[ ; k dk yM+fd; ksa dh l a[ ; k l s vuqi kr 5 % 3 gSA ; fnfo| ky; esa vkSj 30 yM+fd; ksa dk ukekadu fd; k t krk gS] rksfo| ky; esa vkSj fdrus yM+dksa dk ukekadu gksuk pkfg, ] rkfdyM+dksa dh l a[ ; k dk yM+fd; ksa dh l a[ ; k l s vuqi kr 14 % 9 gkst k; s\(a) 15 (b) 30(c) 20 (d) 25

12- If 2a 2b 2cx y z 0 and x² = yz, then the value of

ab bc cabc

is:

; fn 2a 2b 2cx y z 0 vkSj x² = yz gS] rks ab bc ca

bc

dk

eku Kkr dhft ; s\(a) 3ac (b) 3(c) 3ab (d) 3bc

13- If the length of a rectangle is increased by 40%, and thebreadth is decreased by 20%, then the area of the rectangleincreases by x%. Then the value of x is:; fn fdl h vk; r dh yEckbZ 40» rd c<+kbZ t krh gS vkSj pkSM+kbZ20» rd ?kVk nh t krh gS rks vk; r dk {ks=ki qQy x% c<+ t krk gS]rks x dk eku D; k gS\(a) 16 (b) 8(c) 20 (d) 12

14- Out of 6 numbers, the sum of the first 5 number is 7 timesthe 6th number. If their average is 136, then the 6th numberis?6 l a[ ; kvksa esa l s] i gys 5 uEcj dk ; ksx 6 uEcj dk 7 xquk gSA; fn mudk vkSl r 136 gS] rks 6oka uEcj gS\(a) 102 (b) 84(c) 96 (d) 116

15- If the number 1005x4 is completely divisible by 8, then thesmallest integer in place of x will be:-; fn l a[ ; k 1005x4, 8 l s i wjh r jg foHkkT; gS] rks x ds LFkku i jl cl s NksVk i w.kk±d ------ gksxk\(a) 1 (b) 0(c) 4 (d) 2

16- If A+B = 45°, then the value of 2(1+ tanA)(1+ tan B) is

; fn A+B = 45° gS] rks 2(1+ tanA)(1+ tan B) dk eku D; k gksxk\(a) 4 (b) 1(c) 0 (d) 2

17- In ABC, MN||BC, the area of quadrilateral MBCN = 130sq.cm. If AN: NC = 4:5, then the area of MAN is?

ABC esa] MN||BC] prqHkZqt MBCN dk {ks=ki Qy 130 sq.cmgSA ; fn AN: NC = 4:5 gS] rks MAN dk {ks=ki Qy fdruk gS\

(a) 45 sq. cm (b) 65 sq. cm(c) 32 sq. cm (d) 40 sq. cm

Gaurav Sir

Gaurav Sir3

18- A shopkeeper marks the price of the article in such a waythat after allowing 28% discount, he wants a gain of 12%. Ifthe marked price is 224rupees, then the cost price of thearticle is:-, d nqdkunkj oLrqvks dk ewY; bl r jg vafdr djrk gS fdvafdr ewY; i j 28» dh NwV nsus i j ml s 12» dk ykHk gksA ; fnvafdr ewY; 224 #i ; s gS rks oLrq dk Ø; ewY; Kkr dhft ; s\(a) 144 (b) 168(c) 120 (d) 196

19- If the radius of 2 cylinder are in the ratio 3:4 and theirheights are in the ratio 4:9, then the ratio of their volumesis:-; fn 2 csyuksa ds vk/ kj dh f=kT; kvksa dk vuqi kr 3 % 4 gS vkSjmudh Å¡pkbZ; ksa dk vuqi kr 4 % 9 gS] rks muds vk; ruksa dkvuqi kr ------------ gS\(a) 1 : 2 (b) 2 : 1(c) 4 : 1 (d) 1 : 4

20- The given table shows the number (in thousands) of carsof five different models, A, B, C, D and E produced duringyears 2012-2017. Study the table and answer the questionsthat follow.nh xbZ rkfydk o"kZ 2012&2017 ds nkSjku fofHkÂ ekWMy A, B, C,D vkSj E dh mRi fÙk dkjksa dh dqy l a[ ; k (gt kjksa esa) dks n' kkZrhgSA rkfydk dk vè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsa\

The percentage increases in the total cars in 2016 over2012, is:2012 dsa l anHkZ esa] 2016 esa dqy dkj ds mRi knu esa fdrus i zfr ' krof¼ nt Z dh xbZ Fkh\(a) 33.33% (b) 45%(c) 50% (d) 62.33%

21- If x, y, z, are three integers such that x+y=8, y+z=13 and

z+x=17, then the value of x²yz is

; fn x, y, z rhu , sl s i w.kk±d gSa fd x+y=8, y+z=13 vkSj z+x=17

gS] rks x²yz dk eku Kkr djas\

(a)75 (b) 1

(c) 0 (d)1811

22- The area of ABC is 44 sq.cm. If D is the midpoint of BCand E is the midpoint of AB, then the area (n sq.cm.) ofBDE is?ABC dk {ks=ki Qy 44 sq.cm. gSA ; fn D, BC dk eè; fcUnq gSvkSj E, AB dk eè; fcUnq gS] rks BDE dk {ks=ki Qy (l seh2 esa)D; k gS\(a) 11 (b) 5.5(c) 22 (d) 44

23- 4300 rupees become 4644 in 2 years at simple interest andthe principle amount that will become 10,104 rupees in 5years at the same rate of interest.l k/ kj.k C; kt i j fdl h okf"kZd C; kt nj i zfr ' kr l s 4300 dh jkf' k2 o"kZ esa c<+dj #i ; s 4644 gks t krh gSA dkSul h jkf' k l k/ kj.k C; kt}kjk bl h C; kt nj i j 5 o"kZ esa c<+dj 10104 gks t k; sxh\(a) 8420 (b) 9260(c) 5710 (d) 7200

24- If x = 4 cosA + 5sinA and y = 4 sinA - 5cos A, then the valueof x² + y² is; fn x = 4 cosA + 5sinA vkSj y = 4 sinA - 5cos A gks] rks x²+ y² dk eku Kkr dhft ; s\(a) 25 (b) 16(c) 0 (d) 41

25- The given table shows the number (in thousands) of carsof five different models, A, B, C, D and E produced duringyears 2012-2017. Study the table and answer the questionsthat follow.nh xbZ rkfydk o"kZ 2012&2017 ds nkSjku fofHkÂ ekWMy A, B, C,D vkSj E dh mRi fÙk dkjksa dh dqy l a[ ; k (gt kjksa esa) dks n' kkZrhgSA rkfydk dk vè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsa\

The percentage decreases in the production of which typeof car in 2017, with reference to 2016, was the maximum?2016 osQ l anHkZ esa 2017 esa fdl çdkj dh dkj osQ mRi knu esav f/ dre çfr ' kr deh vkbZ\(a) C (b) E(c) A (d) D

Gaurav Sir

4Gaurav Sir

SOLUTION1- (D) 120

A B C24 15 125 8 10

dayeffi

(B + C) in 3 days = 18 × 3 = 54Remaining work = (120 – 54)

= 66

Time by A = 665

=1135 days

2- (A) tanA = 56

6

561

8sinA 4cosAcosA 2sinA

divide numerator and denominator by cosA

8tan A 41 2tan A

58 46

51 26

=

1616 = 1

3- (A) x – y = 4 & xy = 45x³ – y³ = (x – y) (x² + y² + xy)

= (x – y) {(x – y)² + 3xy} = (4) {(4)² + 3 × 45} = 4 × 151 = 604

4- (B)R = 42 mdistance in 8 rounds

= 2 × × R × 8

=222 42 87

= 2112 cm

5- (A) Cars in 2015 = 10020% of 100 = 20 = E

6- Sp1 CP SP2

90 100 120

30% = 332

90% = 332 × 3 = 996

(C)

7- (C) ––

after changing sign

42 12 3 – 8 2 –158 2 4 – 9 3

142 12 –16 –153

18 4 – 272

42 4 – 314 4 – 27 =

–1519

8- (D)Total cars in 2013 & 2014= 130 + 170 = 30025% of 300 = 75 (D in 2013 + 2014)

9- (B) C

A B

130°

110O

BOC = 360 – (110 + 130)

= 120°

BAC = 1202 = 60°

10- (C)

In 24 sec = 170 m

speed =170 1824 5

= 25.5 km/h

11- (C) No. of Boys = 400No of Girls = 24030 Girls admitted = 240 + 30 = 270

400 x

270

=149

x 20

Gaurav Sir

Gaurav Sir5

12- (B) Asked question is of zero degree and their is only one solutionwhich has zero degree. Option (b) is satisfied.or put x2a = y2b = z2c = k

13- (D) L 5 7

B 5 425 28

% increased =3 10025

= 12%

14- (A) Let number are a, b, c, d, e, fa + b + c + d + e = 7f ......(i)again

a b c d e f6

= 136

a + b + c + d + e + f = 816.........(ii) 8f = 816

f = 102

15- (B) 1005 x 4 divisible by 8i.e., 5x 4 divisible by 8minimum value of x = 0

16- (A) A + B = 45°let A = O & B = 45°or 2(1 + tanA) (1 + tanB)= 2(1 + 0)(1 + 1)= 4

17- (C) A

B C

NM4

5

area of MAN : MNBC16

×265

×232cm² 130cm²

18- (A) 18 2522425 28

= 144

19- (D)

V1 V24y 9y

3x 4x

1

2

VV =

2122

r hr h =

3 3 44 4 9 =

14

20- (C) Cars in 2012 = 120cars in 2016 = 180

% increase =60 100

120

= 50%

21- (D) x + y = 8, y + z = 13, z + x = 17

2(x + y + z) = 38x + y + z = 19 .........(iv) from (iv)z = 11, x = 6, y = 2

2x 6 6

yz 2 11

=

1811

22- (A) A

B CD

E

Area of DE : C1 : 4

11: 1111 44

23- (A) SI =P T R

100

344 = 4300 2 R

100

4300 2 R

100

R = 4%

Now 10104 = P +P 4 5

100

10104 = 120P100

P =10104 100

120

= Rs. 8420

24- (D) 4cosA + 5sinA = x

Gaurav Sir

6Gaurav Sir

4sinA – 5cosA = y x² + y² = (4² + 5²) (sin²A+ cos²A) x² + y² = 41

25- (C)

CGL TIER – I, 2019SHIFT – IInd


1- The given table represents the number of engineersrecruited by four companies A, B, C and D over the years.Study the table carefully and answer the question thatfollows.nh xbZ rkfydk pkj dai fu; ksa A, B, C , oa D }kjk HkrhZ fd; s x; sbat hfu; jksa dh l a[ ; k dks o"kks± esa n' kkZrh gSA rkfydk dk è; kui woZdvè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsaa\

201420152016201720182019

120132128140148150

9011898106112118

85939498105110

10597100116125122

A B C DCompanyYear

The total number of engineers recruited by company A in2014 to 2017 is what percentage more than the total numberof engineers recruited by all four companies in 2019?

2014 l s 2017 rd dai uh A }kjk HkrhZ fd; s x; s bat hfu; jksa dh dqyl a[ ; k] 2019 esa mu l Hkh pkj dai fu; ksa }kjk HkrhZ fd; s x; s bat hfu; jksadh dqy l a[ ; k l s fdrus i zfr ' kr v f/ d gS\(a) 3.5 (b) 2.5(c) 3 (d) 4

2- A dealer marks an article 40% above the cost price andsells it to a customer, allowing two successive discountsof 20% and 25% on the marked price. If he suffers a loss ofRs. 140, then the cost price (in Rs.) of the article is:, d Mhyj fdl h oLrq dk ewY; ] Ø; ewY; l s 40» vf/ d vafdrdjrk gS vkSj ml s vafdr ewY; i j 20» vkSj 25» dh nks ØfedNwV ds l kFk , d xzkgd dks csp nsrk gSA ; fn ml s 140 #i ; s dhgkfu gksrh gS] rks ml s oLrq dk Ø; ewY; (#i ; s esa) crkb; sa\(a) 840 (b) 872(c) 900 (d) 875

3- The value of the expression cosec (85°+) – sec (5°–) –tan (55°+) + cot(35°–) is:O; at d cosec (85°+) – sec (5°– ) – tan (55°+) + cot(35°–) dk eku Kkr djsa\

(a) 1 (b)32

(c) – 1 (d) 04- Quadrilateral ABCD circumscribes a circle: If AB = 8 cm.

BC = 7 cm and CD = 6 cm, then the length ofAD is:fdl h oÙk ds pkjksa vkSj prqHkZqt ABCD [ khapk x; k gSA ; fn AB= 8 cm, BC = 7 cm vkSj CD = 6 cm gS] rks AD dh yEckbzZ crkvksa\(a) 7.5 cm (b) 7 cm(c) 6 cm (d) 6.8 cm

5- The compound interest on a certain sum at 10% p.a. for

123 years is Rs. 1,201.60, interest compounded yearly. The

sum is:

123 o"kks± ds fy; s 10» okf"kZd nj l s C; kt x.kuk o"kZ ds var esa

djrs gq, , d fuf' pr jkf' k dk pØof¼ C; kt 1201-60 #i ; s gksrkgSA og / ujkf' k fdruh gS\

(a) Rs. 5,400 (b) Rs. 4,200(c) Rs. 4,800 (d) Rs. 4,500

6- In C , AB = AC and AL is perpendicular to BC at L.In DEF the, DE = DF and DM is perpendicular to EF at M.If (area of DEF ) : (area of ABC ) = 25 : 9;

thenDM ALDM – AL

is equal to:

C esa AB = AC vkSj AL, BC ds fcUnq L i j yEc gSA

DEF esa] DE = DF vkSj DM = DF vkSj DM, EF ds fcUnq Mi j yEc gSA ; fn ( DEF dk {ks=ki Qy) % ( C dk {ks=ki QYk)

= 25 % 9 gS] rks DM ALDM – AL

dk eku Kkr djas\

(a) 6 (b) 4(c) 3 (d) 5

7- PQRS is a cyclic quadrilateral in which PQ = x cm, QR = 16.8cm RS = 14 cm, PS = 25.2 cm and PR bisects QS. What is thevalue of x?PQRS , d pØh; prqHkZqt gS ft l esa PQ = x cm, QR = 16.8 cm,RS = 14 cm, PS = 25.2 cm vkSj PR, QS dks l ef}Hkkft r djrhgSA x dk eku D; k gS\(a) 24 (b) 21(c) 18 (d) 28

8- The value of/dk eku Kkr djsa\

118 2of4

× 2 3 5

3 4 8

÷ 2 3 3of3 4 4

(a)588 (b)

7168

Gaurav Sir

Gaurav Sir7

(c)7264 (d)

2103

9- A and B start moving towards each other from places Xand Y, respectively, at the same time. The speed of A is 20%more than of B. After meeting on the way, A and B

take122 hour and x hours, now to reach Y and X,

respectively. What is the value of x?A vkSj B , d gh l e; i j Øe' k% X vkSj Y LFkkuksa l s , d nwl jsdh vksj c<+rs gq, pyuk ' kq: djrs gSA A dh pky B dh pkyl s 20» v f/ d gSA jkLrs esa feyus ds ckn A vkSj B dks Øe' k%

Y vkSj X rd i gq¡pus esa 122 ?kaVs vkSj x ?kaVs yxrs gSA x dk eku

D; k gS\

(a)132 (b)

233

(c)235 (d)

335

10- The expression (a + b – c)3 + (a - b + c)3 - 8a3 is equal to:

O; at d (a + b – c)3 + (a - b + c)3 - 8a3 dk eku Kkr djsa\(a) 6a(a + b –c) (a – b + c)(b) 6a (a – b + c) (c – a – b)(c) 3a (a + b –c) (a – b +c)(d) 3a (a – b + c) (c – a – b)

11- If sec – tansec tan

=

35 , then the value of

cosec +cotcosec – cot

is :

; fn sec – tansec tan

=

35 gS] rks


dk eku Kkr

djsa\

(a) 31 8 15 (b) 33 4 15

(c) 27 15 (d) 24 15

12- If 2 sin+ 15 cos² = 7, 0° << 90°, then tan+ cos+sec; fn 2 sin+ 15 cos² = 7, 0° << 90° gS] rks tan+ cos+sec dk eku Kkr dhft ; s\

(a)435 (b) 3

(c)335 (d) 4

13- If x is the mean proportional between 12.8 and 64.8 and yis the third proportional to 38.4 and 57.6. then 2x : y isequal to:; fn x, 12-8 vkSj 64-8 dk eè; kuqi krh gS vkSj y, 38-4 vkSj 57-6

dk r rh; kuqi krh i n gS] rks 2x : y ................ ds cjkcj gksxk\(a) 2 : 3 (b) 1 : 2(c) 3 : 4 (d) 4 : 5

14- A race track is in the shape of a ring whose inner and outercircumferences are 440 m and 506 m, respectively. What isthe cost of levelling the track at Rs. 6m²?, d jsl VªSd] , d fjax ds vkdkj esa gS] ft l dh vkarfjd vkSjckgjh i fjf/ Øe' k% 440 eh vkSj 506 l seh gSA Rs. 6m² ds fgl kcl s VªSd l ery djus esa D; k O; ; gksxk\

227

(a) Rs. 29,799 (b) Rs. 24, 832(c) Rs. 19,866 (d) Rs. 18, 966

15- The given table represents the number of engineersrecruited by four companies A, B. C and D over the years.Study the table carefully and answer the question thatfollows.nh xbZ rkfydk pkj dai fu; ksa A, B, C , oa D }kjk HkrhZ fd; s x; sbat hfu; jksa dh l a[ ; k dks o"kks± esa n' kkZrh gSA rkfydk dk è; kui woZdvè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsaa\

201420152016201720182019

120132128140148150

9011898106112118

85939498105110

10597100116125122

A B C DCompanyYear

The total number of engineers recruited by company B in2014 and 2017 is what percentage of the total number ofengineers recruited by C during 2015 to 2019?2014 vkSj 2017 esa dai uh B ds }kjk HkrhZ fd; s x; s bat hfu; jksa dhdqy l a[ ; k] 2015 l s 2019 rd dai uh C }kjk HkrhZ fd; s x; sbat hfu; jksa dh dqy l a[ ; k dk fdruh i zfr ' kr gS\(a) 33.2 (b) 33.4(c) 39.2 (d) 37.3

16- A can complete a certain piece of work in 40 days. B is 25%more effcient than A and C is 28% more efficient than B.They work together for 5 days. The remaining work will becompleted by B alone. in:A , d fuf' pr dk; Z dks 40 fnuksa esa i wjk dj l drk gSA B, A l s25» v f/ d dq' ky gS vkSj C, B l s 25» v f/ d dq' ky gSA , dl kFk os 5 fnuksa rd dk; Z djrs gSA vdsys B }kjk ' ks"k dk; Z dks ------- eas i wjk fd; k t k; sxk\

(a)3165 days (b)

1202 days

Gaurav Sir

8Gaurav Sir

(c)3204 days (d)

1165 days

17- The given table represents the number of engineersrecruited by four companies A, B, C and D over the years.Study the table carefully and answer the question thatfollows.nh xbZ rkfydk pkj dai fu; ksa A, B, C , oa D }kjk HkrhZ fd; s x; sbat hfu; jksa dh l a[ ; k dks o"kks± esa n' kkZrh gSA rkfydk dk è; kui woZdvè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsaa\

201420152016201720182019

120132128140148150

9011898106112118

85939498105110

10597100116125122

A B C DCompanyYear

The number of the years in which the number of engineersrecruited by company D is less than the average number ofengineers recruited by B in the given six years, is:, sl s o"kks± dh l a[ ; k fdruh gS ft uds nkSjku dai uh D }kjk HkrhZ fd; sx; s bat hfu; jksa dh l a[ ; k dai uh B }kjk fn; s x; s Ng o"kks± esa HkrhZfd; s x; s t kus okys bat hfu; jksa dh vkSl r l a[ ; k l s de gS\(a) 1 (b) 3(c) 4 (d) 5

18- The given table represents the number of engineersrecruited by four companies A, B. C and D over the years.Study the table carefully and answer the question thatfollows.nh xbZ rkfydk pkj dai fu; ksa A, B, C , oa D }kjk HkrhZ fd; s x; sbat hfu; jksa dh l a[ ; k dks o"kks± esa n' kkZrh gSA rkfydk dk è; kui woZdvè; ; u djsa vkSj fn; s x; s i z' u dk mÙkj nsaa\

201420152016201720182019

120132128140148150

9011898106112118

85939498105110

10597100116125122

A B C DCompanyYear

The ratio of the total number of engineers recruited bycompanies A and B in 2015 and 2018 to the total number ofengineers recruited by C and D in 2014 and 2018, is:dai fu; ksa A vkSj B }kjk 2015 vkSj 2018 esa HkrhZ fd; s x; sbat hfu; jksa dh dqy l a[ ; k dk dai fu; ksa C vkSj D }kjk 2014 vkSj2018 esa HkrhZ fd; s x; s bat hfu; jksa dh dqy l a[ ; k l s vuqi kr D; k

gksxk\(a) 17 : 14 (b) 13 : 21(c) 28 : 19 (d) 9 : 14

19- C is an equilateral triangle and AD BC , where Dlies on BC. If AD = 4 3 cm, then what is the perimeter (incm) of C ?

C , d l eckgq f=kHkqt gS AD BC gS] t gk¡ fcUnq D, BCi j fLFkr gSA ; fn AD = 4 3 cm gS] rks C dk i fjeki

( l seh esa) D; k gS\(a) 24 (b) 30(c) 21 (d) 27

20- Annu fixes the selling price of an article at 25% above itscost of production. If the cost of production goes up by20% and she raises the selling price by 10%. then herpercentage profit is [correct to one decimal place):vuq fdl h oLrq dk foØ; ewY; ml ds mRi knu dh ykxr l s 25»v f/ d fuf' pr djrh gSA ; fn ml mRi knu dh dher 20» c<+t krh gSA vkSj og ml dk foØ; ewY; 10» c<+k nsrh gS] ml dk ykHki zfr ' kr D; k gS (n' keyo ds , d LFkku rd l gh)A(a) 13.8% (b) 15.2%(c) 14.6% (d) 16.4%

21- The average of the first four numbers is three times thefifth number. If the average of all the five numbers is 85.8,then the fifth number is:i gyh pkj l a[ ; kvksa dk vkSl r] i k¡poh l a[ ; k dk rhu xquk gSA ; fnmu l Hkh i k¡p l a[ ; kvksa dk vkSl r 85-8 gS] rks i k¡poh l a[ ; kcrkb; s\(a) 33 (b) 29(c) 39 (d) 34

22- Two bottles of the same capacity are 35% and 1333

% full

of orange juice. respectively. They are filled up completelywith apple juice and then the contents of both bottles areemptied into another vessel. The percentage of apple juicein the mixture is:l eku / kfjrk {kerk dh nks cksrysa l arjs ds jl l s Øe' k% 35» vkSj

1333 % rd Hkjh gSaA os l sc ds jl l s i wjk Hkj t krh gS vkSj fi Qj

nksuksa cksryksa dh l kexzh , d nwl js crZu esa [ kkyh dj nh t krh gSAfeJ.k esa l sc ds jl dk i zfr ' kr Kkr dhft ; s\

(a)2603 (b)

1643

(c)5656 (d)

1346

23- If x4 + x²y² + y4 = 21 and x² + xy + y² = 7, then the value of

Gaurav Sir

Gaurav Sir9

2 2

1 1x y

is:

; fn x4 + x²y² + y4 = 21 vkSj x² + xy + y² = 7 gS] rks 2 2

1 1x y

gS\

(a)54 (b)

74

(c)73 (d)

52

24- When 200 is divided by a positive integer x, the remainderis 8. How many values of x are there?t c 200 dks , d / u i w.kk±d x l s foHkkft r fd; k t krk gS] rks ' ks"k8 i zkIr gksrk gSA x ds fdrus eku gks l drs gSa\(a) 6 (b) 7(c) 8 (d) 5

25- If x² + 3x + 1 = 0, then what is the value of 66

1xx ?

; fn x² + 3x + 1 = 0 gS] rks 66

1xx dk eku D: k gksxk\

(a) 324 (b) 327(c) 322 (d) 318

SOLUTION1- (D) In compnay A from 2014 to 2017

= 520In 2019 total engineer = 500

more in A% =20 100500

= 4%

2- (D)df CP MRP SP10 14

54

43

200 : 280 : 168

Loss 32 = 140

1 = 14032

CP 200 =140 20032

= Rs. 875

3- (D)Cosec (85° + ) – sec 5 – – tan 55 + cot(35 – )

We know that cosec – sec = 0cot–tan

if 1 2 = 90º

4- (B) DC

BA

In cyclic quadrilateralAB + DC = BC + AD 8 + 6 = 7 + AD

AD = 7 cm.

5- (C)Let money = 1000

1st 2st 3st

100 100 10010 20

1121110100

In 3rd year 13 year =

1213

Total C.I 100 + 110 + 121

3

= 1201.60

7513 = 1201.60

1 = 4.8 1000 = 4800/-

6- (B) A

B CL

D

E FM

area of ABCarea of DEF

=

925

ABDE =

35 =

ALDM

DM ALDM – AL

=

5 35 – 3

=82 = 4

7- (B)P

Q

RS

When PR bisect QSPQ × QR = PS × SR

Gaurav Sir

10Gaurav Sir

x × 16.8 = 25.2 × 14 x = 21 cm

8- (B)118 2of4

× 2 3 53 4 8

÷2 3 3of3 4 4

1182

×2 4 53 3 8

÷2 163 9

(18 × 2) × 4072

÷3227

36 ×4072 ×

2732

135

8 = 1678

9- (D) 20% = 15

A B6 : 5

A B

B A

V TV T

6 x

55 2

3625 =

2x5

x = 185

10- (B) (a + b – c)³ + (a – b + c)³ – 8a³Put a = 1

b = 0c = 2

(1 + 0 – 2)³ + (1 – 0 + 2)³ – 8= (–1)³ + (3)³ – 8= –1 + 27 – 8= 18From option only (B) satisfy

11- (A) sec – tansec tan

=

35

5 sec– 5 tan= 3 sec3 tan 2sectan

sectan

= 4

sin14


41

15

= 4 154 – 15

= 24 15

= 16 + 15 + 8 15

= 31 + 8 15

12- (C) 2sin15 cos²= 7Let sinx 2x + 15 – 15x² – 7 = 0 15x² – 2x – 8 = 0

(5x – 4) (3x + 2) = 0

sin= 45

tan cos sec

=4 3 53 5 3

=335

13- (A) Mean proportional (x) = 12.8 64.8

= 8 36

10

third proportional = 257.6

38.4

= 86.4 2x : y

2 8 3610

:86410 2 : 3

14- (A) R

r

2r = 440 m r = 70magain2R = 506

R = 161

2 = 80.5

Path area = 2 222 R – r7

= 227 × 10.5 × 150.5

= 4966.5 m²Cost of levelling = 4966.5 × 6

= Rs. 29799

Gaurav Sir

Gaurav Sir11

15- (C) By company B in 2014 & 2017= 90 + 106= 196

By C from 2015 to 201993 +94 +98 + 105 + 110= 500

Required % =196 100500

= 39.2

16- (A) A B C4 5

25 3220 25 32

Total work = 40 × 20 = 8005 day (A + B + C) = 5 × 77 = 385Remaining work = 415

Time by B =41525 =

3165 days

17- (B) Average no of engineer in

=90 118 98 106 112 118

6

=642

6 = 107

No. of years in which engineer's are less than 107 in companyD 3

18- (A)Engineers by A & B in 2015 & 2018= 132 + 118 + 148 + 112= 510engineers by C & D in 2014 & 2018 85 + 105 + 105 + 125= 420Required Ratio 510 : 420 17 : 14

19- (A) A

B CD

AD = 3

2 × side

side = AD ×23

=24 33

= 8 cmPerimeter of ABC = 8 × 3 = 24 cm

20- (C) CP SP125100

120 137.520%

Before

Now10%

% profit =17.5 100120

= 14.58 14.6%

21- (A) Let the no. area, b, c, d, e

a b c d4

= 3 × e

a + b + c + d = 12 eagain

a b c d e5

= 85.8

a + b + c + d + e = 429 .......(ii) 13 e = 429e = 33

22- (C) O A

7×3

:

13×3 = 20×3

1×20 2×20 = 3×20

::

1st

2nd

41 : 79

% of apple = 79 100

120

=5656 %

23- (A) (x² + yx + y²) (x² – yx + y²) = (x4 +x²y² + y4)

7(x² – yx + y²) = 21

x² – yx + y² = 3 & x² + yx + y² = 7 .....(ii)

from (i) & (ii)

x² + y² = 5

xy = 2

2 2

1 1x y

=

2

2x² y

xy

= 252 =

54

24- (C) Remainder = 8so the dividend = 192

factor of 192

factor 26 × 3

Gaurav Sir

12Gaurav Sir

total no. of divisior = 7 × 2 = 14

divisior less than or equal to 8

1, 2, 3, 4, 6, 8 6

requried no. = 14 – 6 = 8

25- (C) x² + 3x + 1 = 0

1xx

= – 3

2

21xx

= 7

66

1xx

= 343 – 21 = 322

CGL TIER – I, 2019SHIFT – IIIrd

TEST DATE 03/03/20201- The average of five consecutive even numbers is M. If the

next five even numbers are also included. the average often numbers will be:i k¡p Øekxr l e l a[ ; kvksa dk vkSl r M gSA ; fn vxyh i k¡p l el a[ ; k, ¡ Hkh ' kkfey dj yh t krh gS] rks bl 10 l a[ ; kvksa dk vkSl rD; k gksxk\(a) M + 5 (b) 11(c) 10 (d) M + 10

2- The value of5 3 1– 62 2 2 is equal to:

5 3 1– 62 2 2 dk eku Kkr dhft ; s\

(a)1–3 (b)

1–12

(c)19–8 (d)

9–8

3- (a + b – c + d)² – (a – b + c – d)² = ?(a) 4a(b + d – c) (b) 2a (a + b – c)(c) 2a(b + c – d) (d) 4a (b – d +c)

4- If 2sin – 8cos²+ 5 = 0, 0° < < 90°, then what is the valueof (tan2 +cosec2)? ; fn 2sin – 8cos²+ 5 = 0, 0° < <90° gS] rks (tan2 +cosec2) dk eku D; k gS\

(a) 3 3 (b)4 3

3

(c) 2 3 (d)5 3

3

5- Two racers run at a speed of 100 m/min and 120 m/min,respectively. If the second racer takes 10 minutes less than

the first to complete the run. then how long is the racenks / kod Øe' k% 100 eh@fe- vkSj 120 eh@fe- dh xfr l s nkSM+rsgSaA vxj nwl jk / kod nkSM+ i wjh djus esa i gys / kod l s 10 feuVde l e; ysrk gS] rks nkSM+ fdruh yEch gS\(a) 2 km (b) 4 km(c) 6 km (d) 1 km

6- The table below shows income (in rupees) for a particularmonth together with their sources in respect of 5employees A,B,C,D and E.uhps nh xbZ rkfydk , d fo' ks"k eghus ds fy; s vk; (#i ; s esa)fn[ kkrh gS] , d l kFk esa A,B,C,D vkSj E ds jkst xkj ds Ï ksrkssa dsckjs esa fn[ kkrh gS\

EmployeeSalaryOvertimeArrearsBonusMiscellaneous incomeTotal

A52,00005,5003,5005,00066,000

B48,50004,5003,0003,00059,000

C42,0001,5004,0002,5002,00052,000

D31,0002,5003,0002,0001,50040,000

E25,0003,2001,5002,000031,700

How many employees have their salary more than fourtimes their other incomes?fdrus deZpkfj; ksa dk osru muds vU; vk; l s pkj xquk v f/ d gS\(a) 3 (b) 2(c) 1 (d) 4

7- As per data in the table, what is the percentage of studentswho got 20 or more marks?rkfydk esa fn; s x; s vk¡dM+ksa ds vuql kj] 20 l s v f/ d vad i kusokys Nk=kksa dk i zfr ' kr D; k gS\

No. of student

Scores

13

0-5

15

5-10

18

10-15

12

15-20

14

20-25 25-30

19

30-35

6

35-40

3

(a) 14% (b) 58%(c) 54% (d) 42%

8- The value of tan30 tan60

cos30

is:

tan30 tan60cos30

dk eku crkb; s\

(a) 1 3 (b)83

(c)83 (d) 3 3

9- In the figure, what is the value of cot

vkÑfr esa cot dk eku D; k gS\

Gaurav Sir

92Gaurav Sir

PAPER - 1Date :- 23/11/2020 (Shift -1)

1. A train x running at 74 km/h crosses another train y run-ning at 52 km/h in the opposite direction in 12 seconds. Ifthe length of y is two-thirds that of x, then what is thelength of x (in m) ?

74 km/h dh pky l s pyus okyh jsyxkM+h x, foi fjr fn' kk esa52 fdeh-@?kaVs dh pky l s pyus okyh jsyxkM+h y dks 12l sdaM esa i kj djrh gSA ; fn jsyxkM+h y dh yackbZ] jsyxkM+h xdh yackbZ dh nks&frgkbZ gS] rks jsyxkM+h x dh yackbZ (ehVjesa) Kkr djsaA(a) 168 (b) 252(c) 210 (d) 200

2. A is twice as good a workman as B and together they finisha piece of work in 13 days. In how many days will B alonefinish the work ?

A, B dh rqyuk esa nksxquk dq' ky et nwj gS vkSj os , d l kFkfeydj fdl h dk; Z dks 13 fnu esa i wjk djrs gSA vdsys Bml h dk; Z dks fdrus fnu esa i wjk dj i k, xk\(a) 18.5 (b) 42(c) 21 (d) 39Direction (Q. 3-5 ):- The given bar graph shows the num-ber of students of two schools over a period of six years.

fn; k x; k ckj xzki Q Ng o"kZ dh vof/ esa nks fo| ky; ksa dsfo| kfFkZ; ksa dh l a[ ; k dks n' kkZrk gSA

3. In the bar graph, in which year is the sum of the studentsfrom schools A and B taken together, the minimum ?

ckj xzki Q es]a fdl o"kZ fo| ky; A vkSj B ds fo| kfFkZ; ksa dk

l a; ksft r ; ksxi Qy U; wure gS\(a) 2012 (b) 2010(c) 2013 (d) 2011

4. In the bar graph, what is the ratio of the students taken forthe years 2009, 2011, 2013 together from school A to thestudents taken for the years 2008, 2012, 2013 together fromschool B ?

ckj xzki Q esa] o"kZ 2009, 2011, 2013 esa fo| ky; A ds fo| kfFkZ; ksadh l esfdr l a[ ; k] vkSj o"kZ 2008, 2012, 2013 esa fo| ky; Bds fo| kfFkZ; ksa dh l esfdr l a[ ; k dk vuqi kr Kkr djsaA(a) 17 : 25 (b) 25 : 17(c) 18 : 25 (d) 25 : 18

5. In the bar graph, what is the ratio of the average of the totalstudents from school A to the average of the total studentsfrom school B ?

ckj xzki Q esa] fo| ky; A esa fo| kfFkZ; ksa dh dqy l a[ ; k dsvkSl r] vkSj fo| ky; B esa fo| kfFkZ; ksa dh dqy l a[ ; k dsvkSl r dk vuqi kr Kkr djsaA(a) 370 : 429 (b) 429 : 799(c) 799 : 429 (d) 429 : 370

6. One side of a rhombus is 13 cm and one of its diagonals is10 cm. What is the area of the rhombus (in cm²) ?

fdl h l eprqHkqZt dh ,d Hkqt k 13 l seh gSa vkSj bl dk ,dfod.kZ 10 l seh gsa l eprqHkqZt dk {ks=ki Qy ( l seh2 esa) Kkr djsaA(a) 30 (b) 60(c) 120 (d) 90

7. If 4 (cosec² 57° - tan²33°) - cos90° - y tan²66° tan²24° = y2

,

the value of y is :

(a) 38

(b) 8

(c) 13

(d)83

8. Three successive discounts 22%, 17% and 11% are equiva-lent to a single discount of :

22%, 17% vkSj 11% dh rhu Øekxr NwV ------ ds , dy NwVds l erqY; gSA

(a) approximately/ yxHkx 45%

CPO Maths–2020

Gaurav Sir

Gaurav Sir93

(b) approximately/ yxHkx 50%

(c) approximately/ yxHkx 42%

(d) approximately/ yxHkx 25%

9. A ladder leaning against a wall makes an angle with the

horizontal ground such that cos =5

13 . If the height of

the top of the ladder from the wall is 18m, then what is thedistance (in m ) of the foot of the ladder from the wall ?

, d l h<+h nhokj ds l ghjs >qdh gS vkSj og {kSfrt Hkwfe ds

l kFk dks.k bl i zdkj cukrh gS fd cos =5

13 gSA ; fn

nhokj l s l h<+h ds ' kh"kZ dh ÅapkbZ 18 ehVj gS] rks nhokj l sl h<+h ds vk/ kj ( i QqV) dh nwjh (ehVj esa) Kkr djsaA(a) 19.5 (b) 13(c) 7.5 (d) 18

10. The perimeter of a square is same as the perimeter of arectangle. The perimeter of the square is 40 m. If its breadthis two-thirds of its length, then the area (in m²) of the rect-angle is :

fdl h oxZ dk i fjeki ] fdl h vk; r ds i fjeki ds cjkcj gSAoxZ dk i fjeki 40 ehVj gSA ; fn bl dh pkSM+kbZ] bl dh yackbZdh nks&frgkbZ gS] rks vk; r dk {ks=ki Qy (ehVj2 esa) Kkr djsaA(a) 96 (b) 84(c) 100 (d) 121

11. Two pipes A and B ca fill a tank in 15 hours and 18 hours,respectively. Both pipes are opened simultaneously to fillthe tank. In how many hours will the empty tank be filled ?

nks i kbi A vkSj B fdl h Vadh dks Øe' k% 15 ?kaVs vkSj 18 ?kaVsesa Hkj l drs gSA Vadh dks Hkjus ds fy, nksuksa i kbi , d l kFk[ kksys t krs gSA [ kkyh Vadh fdrus ?kaVs esa Hkjsxh\

(a) 72

11(b) 9

211

(c) 102

11(d) 8

211

12. If 4 - 2 sin² - 5 cos = 0, 0° < < 90°, then the value ofcos + tan is :

(a) 2 3

2

(b)2 3

2

(c) 1 2 3

2

(d)1 2 3

2

13. If each side of a rectangle is decreased by 11%, then itsarea will decrease by :

; fn fdl h vk; r dh i zR; sd Hkqt k es 11% dh deh gks] rks

bl ds {ks=ki Qy esa gqbZ deh Kkr djsaA(a) 24.31% (b) 25%(c) 21.13% (d) 20.79%Direction (Q.14-16 ):- The given histogram shows the heightof the students.

fn; k x; k fgLVksxzke Nk=kksa dh ÅapkbZ n' kkZrk gSA

14. The difference between the number of students whoseheight is between 150-155 cm and the number of studentswhose height lies between 175-180 cm is :

150-155 cm ds chp dh ÅapkbZ okys Nk=kksa dh l a[ ; k vkSj175&180 l seh ds chp dh ÅapkbZ okys Nk=kksa dh l a[ ; k dschp varj Kkr djsaA(a) 3 (b) 8(c) 9 (d) 7

15. What is the percentage of students whose height is in theclass interval 160-170? (correct to the nearest integer)

mu Nk=kksa dk i zfr' kr Kkr djsa] ft udh ÅapkbZ oxZ varjky160 &170 esa gS\ ( fudVre i w.kkZad rd ' kq¼)(a) 39 (b) 25(c) 34 (d) 51

16. The number of students whose height is in the class inter-val 170-175 is what percent less than the number of stu-dents whose height is in the interval 165-170 ? (correct toone decimal place)

oxZ&varjky 170-&175 dh ÅapkbZ okys fo| kfFkZ; ksa dhl a[ ; k] oxZ&varjky 165&170 dh ÅapkbZ okys fo| kfFkZ; ksa dhl a[ ; k l s fdrus i zfr' kr de gS\ (n' keyo ds , d LFkkurd ' kq¼)(a) 17.3% (b) 11.5%(c) 14.3% (d) 19.5%

17. Two numbers are in the ratio 7 : 11. If their HCF is 28, thenthe difference between the two numbers is :

nks l [ a; kvks dk vuqi kr 7 : 11 gSA ; fn mudk egRrel eki orZd (HCF) 28 gS] rks nksuksa l a[ ; kvks ds chp varj KkrdjsaA(a) 28 (b) 196(c) 112 (d) 308

Gaurav Sir

94Gaurav Sir

18. PA and PB are two tangents from a point P outside thecircle with centre O If A and B are points on the circle suchthat APB = 128°, then OAB is equal to :PA vkSj PB, O dsanz okys oRr ds ckg~; fcnaq P l s [ khaph xbZnks Li ' kZ js[ kk, a gSA ; fn A vkSj B fcanq oRr i j bl i zdkj fLFkrgS fd APB = 128°, gS] rks OAB dk eku KKr djsaA(a) 64° (b) 72°(c) 52° (d) 38°

19. The value of 8 - 3 ÷ 6 of 2 + (4 ÷ 4 of 14

) ÷ 8 + ( 4 × 8 ÷ 14

) ×

18

is :

8 - 3 ÷ 6 of 2 + (4 ÷ 4 of 14

) ÷ 8 + ( 4 × 8 ÷ 14

) × 18

dk eku Kkr

djsaA

(a) - 74

(b)74

(c) - 974

(d)974

20. If 14331433 × 1422 × 1425 is divided by 12, then what is theremainder ?; fn 14331433 × 1422 × 1425 dks 12 l s foHkkft r fd; k t krkgS] rks i zkIr ' ks"ki Qy Kkr djsaA(a) 3 (b) 9(c) 8 (d) 6

21. If a² + b² + c² + 216 = 12 (a + b - 2c), then ab bc ca is :(a) 6 (b) 4(c) 3 (d) 8

22. The average of twelve numbers is 39. The average of thelast five numbers is 35, and that of the first four numbers is40. The fifth number is 6 less than the sixth number and 5more than the seventh number. The average of the fifthand sixth numbers is :12 l a[ ; kvksa dk vkSl r 39 gSA vafre i kap l a[ ; kvksa dk vkSl r35 gS vkSj i gyh pkj l a[ ; kvksa dk vkSl r 40 gSA i kapohl a[ ; k NBh l a[ ; k l s 6 de vkSj l kroha l a[ ; k l s 5 v f/d gSA i kapoh vkSj NBh l a[ ; dk vkSl r Kkr djsaA(a) 39 (b) 50(c) 44 (d) 47

23. The average weight of A, B and C is 65 kg. If the averageweight of A and B is 63.5 kg, and the average weight of Aand C is 67.5 kg, then the weight of A (in kg) is :A, B vkSj C dk vkSl r ot u 65 fdxzk- gSA ; fn A vkSj B dkvkSl r ot u 63-5 fdyksxzke gS vkSj A vkSj C dk vkSl r ot u67.5 kg gS] rks A dk ot u ( fdxzk- esA) Kkr djsaA(a) 65 (b) 67(c) 60 (d) 68

24. A, B and C started a business by investing Rs. 13,750, Rs.16250 and Rs. 18750 respectively. If B's share in the profitearned by them is Rs. 5200, what is the total profit (in Rs.)earned by them together ?A, B vkSj C Øe' k% 13,750 : -] 16250 #- vkSj 18750 #-fuosf' kr djds dksbZ O; ol k; ' kq: djrs gSA ; fn muds }kjki zkIr ykHk esa B dk fgLl k 5200 #- gS] rks , d l kFk rhuksa dksi zkIr dqy ykHk (#- esa) Kkr djsaA(a) 15, 600 (b) 17, 500(c) 18,200 (d) 16,600

25. In ABC, BD AC at D. E is a point on BC such thatBEA = x°. If EAC = 46° and EBD = 60°, then thevalue of x is :

ABC esa, D i j BD AC gSA BC i j , d fcanq E bl i zdkjgS fd BEA = x°gSA ; fn EAC = 46° vkSj EBD = 60°gS] rks x dk eku Kkr djsaA(a) 76° (b) 68°(c) 78° (d) 72°

26. A and B can do a job in 10 days and 5 days, respectively.They worked together for two days, after which B wasreplaced by C and the work was finished in the next threedays. How long will C alone take to finish 60% of the job ?A vkSj B fdl h dk; Z dks Øe' k% 10 vkSj 5 fnu esa dj l drsgSA nksuksa , d l kFk feydj nks fnu rd dk; Z djrs gS] ml dsckn B ds LFkku i j C dk; Z djrk gS vkSj dk; Z vxys rhu fnuesa i wjk gks t krk gSA vdsys C ml dk; Z dk 60% Hkkx fdrusfnu esa i wjk djsxk\(a) 30 days (b) 25 days(c) 18 days (d) 24 days

27. If a nine-digit number 785x3678y is divisible by 72, then thevalue of (x - y) is :; fn ukS vadks okyh l a[ ; k 785x3678y , 72 l s foHkkT; gS] rks(x - y) dk eku Kkr djsaA(a) 0 (b) 2(c) -1 (d) 4Direction (Q. 28 - 30):- The given pie chart represents thepopularity of ice-cream flavours in the year 2015.fn; k x; k i kbZ pkVZ o"kZ 2015 esa fdl h vkbl Øhe Ýysol Z dhyksdfi z; rk dks fu: fi r djrk gSA

Gaurav Sir

Gaurav Sir95

28. In 2015, if the total sale of vanilla flavour is for Rs. 3300,then the total sale (in Rs.) for chocolate flavour is :

2015 esa ouhyk i Qysoj dh dqy fcØh 3300 #- FkhA rkspkWdysV i Qysoj dh dqy fcØh (#- esa) Kkr djsaA(a) Rs. 4120 (b) Rs.5160(c) Rs.3320 (d) Rs.4100

29. If a percentage point shift result in annual additional salesof Rs. 10,000, how much (in Rs.), did the combined annualstrawberry and butterscotch sales

; fn i zfr' kr fcanq pØ 10,000 #- dh okf"kZd v frfjDr fcØhesa cnyrk gS] rks 2005 l s 2015 rd LVªkWcsjh vkSj oVjLdkWpdh l a; qDr okf"kZd fcØh esa fdruh of¼ (#- esa) gksxh\(a) Rs.65,000 (b) Rs.74,000(c) Rs.37,000 (d) Rs.10,000

30. In 2005, if 10% the 'other' category is mix fruit flavour and1570 people surveyed preferred mix fruit flavour, then howmany people were surveyed ?

2005 esa ; fn vU; oxZ dk 10% feDl i QwV Ýysoj gS vkSj, d l osZ esa i k; k x; k fd feDl i QwV Ýysoj i l an djus okyksadh l a[ ; k 1570 gS] rks ; g l osZ fdrus yksxksa i j fd; k x; k\(a) 1,75, 000 (b) 1,00,000(c) 1,50,000 (d) 4,00,000

31. The value of

6.35 6.35 6.35 3.65 3.65 3.6563.5 63.5 36.5 36.5 63.5 36.5

is equal to :

(a) 0.01 (b) 10(c) 1 (d) 0.1

32. A takes 2 hours 30 minutes more than B to walk 40 km. If Adoubles his speed, then he can make it in 1 hour less thanB. How much time (in hours) does A require for walking a40 km distance?

40 fdeh dh nwjh r; djus esa A dks B l s 2 ?kaVs 30 feuVvf/ d yxrs gSA ; fn A v i uh pky nksxquh djrk gS] rks ogbl s B l s 1 ?kaVk de l e; esa r; dj l drk gSA A }kjk 40fdeh dh nwjh r; djus esa yxus okyk l e; (?kaVs esa) KkrdjsaA(a) 7 (b) 9(c) 6 (d) 5

33. The radius of the base of a cylinder is 14 cm and its curved

surface area is 880 cm². Its volume (in cm³) is : (Take 227

)

fdl h csyu dh vk/ kj f=kT; k 14 l seh gS vkSj bl dk oØi "B{ks=ki Qy 880 cm² gSA bl dk vk; ru (cm³ esa) Kkr djsaA (

ysa227

)

(a) 1078 (b) 3080(c) 9240 (d) 6160

34. A person was standing on a road near a mall. He was 1425maway from the mall and able to see the top of the mall fromthe road in such a way that the top of a tree, which is inbetween him and the mall, was exactly in line of sight withthe top of the mall. The tree height is 10m and it is 30maway from him. How tall (in m) is the mall ?

, d O; fDr ekWy ds fudV l M+d i j [ kM+k gSA og ekWy l s1425 ehVj dh nwjh i j gSA vkSj l M+d l s ekWy ds ' kh"kZ dksbl i zdkj ns[ kus esa l {ke gS fd ml ds vkSj ekWy ds chpfLFkr i sM+ dk ' kh"kZ ekWy ds ' kh"kZ ds l kFk nf"V js[ kk esa gSA i sM+dh ÅapkbZ 10 ehVj gS vkSj ; g ml O; fDr l s 30 ehVj dhnwjh i j fLFkr gSA ekWy dh ÅapkbZ (ehVj esa) Kkr djsaA(a) 475 (b) 300(c) 425 (d) 525

35. Pipes A and B can fill a tank in 16 hours and 24 hours,respectively, whereas pipe C can empty the full tank in 40hours. All three pipes are opened together, but pipe A isclosed after 10 hours. After how many hours will the re-maining part of the tank be filled ?

i kbi A vkSj B fdl h Vadh dks Øe' k% 16 vkSj 24 ?kaVs esa Hkjl drs gS] t cfd i kbi C Hkjh gqbZ Vadh dks 40 ?kaVs esa [ kkyhdj l drk gsA rhuksa i kbi , d l kFk [ kksys t krs gS] ysfdu 10?kaVs ckn i kbi A dks can dj fn; k t krk gSA Vadh dk ' ks"k Hkkxfdrus ?kaVs ckn Hkjsxk\

(a) 1512

(b) 1212

(c) 20 (d) 10

36. If 44

1xx

= 194, x > 0 , then the value of x +1x

is :

; fn 44

1xx

= 194, x > 0 , gS] rks x + 1x

dk eku Kkr djsaA

(a) 4 (b) 14(c) 6 (d) 8

37. The value of

340 of324

337 of (34 6)

4

is :

340 of324

337 of (34 6)

4

dk eku Kkr djsaA

(a) 1 (b) 0

Gaurav Sir

96Gaurav Sir

(c) -12

(d)12

38. What is the least number which when divided by 15, 18and 36 leaves the same remainder 9 in each case and isdivisible by 11 ?

og NksVh l s NksVh l a[ ; k Kkr djsa] ft l s 15] 18 vkSj 36 l sfoHkkft r djus i j i zR; sd fLFkfr esa 9 ' ks"ki Qy i zkIr gks] vkSjog 11 l s foHkkT; gksA(a) 1269 (b) 1089(c) 1080 (d) 1071

39. The sides of a triangle are 24 cm, 26 cm and 10 cm. At eachof its vertices, circles of radius 4.2 cm are drawn. What isthe area (in cm²) of the triangle, excluding the portion cov-

ered by the sectors of the circles? Take 227

fdl h f=kHkqt dh Hkqt k, a 24l seh] 26 l seh] vkSj 10 l seh gSAbl ds i zR; sd ' kh"kZ dks Nwrk gqvk 4-2 l seh f=kT; k okyk oRr[ khapk t krk gSA oRr ds [ kaMks }kjk doj fd, x, Hkkx dk

NksM+dj] f=kHkqt dk {ks=ki Qy ( l seh2 esa) Kkr djsaA 227

(a) 27.72 (b) 120(c) 105.86 (d) 92.28

40. The price of diesel increased by 16%. A person wants toincrease his expenditure on diesel by 10% only. By whatpercentage, correct to one decimal place, should he reducehis consumption ?

Mht y dh dher esa 16% dh of¼ gksrh gSA , d O; fDr v i usMht y ds O; ; esa dsoy 10% dh of¼ djuk pkgrk gSA ml sv i uh [ ki r dks fdrus i zfr' kr (n' keyo ds , d LFkku rd' kq¼) de djuk gksxk\(a) 6.5% (b) 5.2%(c) 4.5% (d) 3.7%

41. In a ABC, the bisectors of B and C meet at O. IfBOC = 142°, then the measure of A is :

ABC esa] B vkSj C ds l ef}Hkkt d fcanq O i j feyrsgSA ; fn BOC = 142° gS] rks A d eku Kkr djsA(a) 52° (b) 68°(c) 116° (d) 104°

42. If decreasing 110 by x% given the same result as increas-ing 50 by x%, then x% of 650 is what percentage more than(x + 20)% of 180 (correct to nearest integer)

; fn 110 dks x% de djus i j i zkIr i fj.kke] 50 dks x%c<+kus i j i zkIr i fj.kke ds l eku gS] rks 650 dk x% 180 ds(x + 20)% l s fdrus i zfr' kr v f/ d gksxk\ ( fudVre i w.kkZd

rd ' kq¼)(a) 80% (b) 90%(c) 136% (d) 154%

43. If 5 5x³ 3 3y³ ÷ 5x 3y = (Ax² + By² + Cxy), then

the value of 3A B 15C is :

; fn

5 5x³ 3 3y³ ÷ 5x 3y = (Ax² + By² + Cxy), gS] rks

3A B 15C dk eku Kkr djsA

(a) 3 (b) 12(c) 8 (d) 5

44. A circle is inscribed in a triangle ABC. It touches sides AB,BC and AC at points R, P and Q, respectively. If AQ = 3.5cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm )of the triangle ABC is :

f=kHkqt ABC ds vanj , d oRr [ kahapk t krk gSA ; g Hkqt k AB,BC vkSj AC dks Øe' k% fcanq R, P vkSj Q i j Li ' kZ djrk gSA; fn AQ = 3.5 cm, PC = 4.5 cm vkSj BR = 7 cm gS] rks ABCdk i fjeki ( l seh esa) Kkr djsaA(a) 45 (b) 28(c) 15 (d) 30

45. A person sold an article at a loss of 16%. Had he sold it forRs. 660 more,, he would have gained 8%. What should bethe selling (in Rs.) to gain a profit of 12% ?

dksbZ O; fDr] fdl h oLrq dks 16% dh gkfu i j csprk gSA ; fnog bl oLrq dks 660 #- v f/ d esa csprk] rks ml s 8% dkykHk gksrk A 12% dk ykHk i zkIr djus ds fy, foØ; ewY;(#- esa) fdruk gksuk pkfg, \(a) 3080 (b) 3200(c) 2750 (d) 2970

46. Sunita invested Rs. 12000 on simple interest at the rate of10% p.a. to obtain a total amount of Rs. 20,400 after a cer-tain period. For how many years did she invest to obtainthe above amount?

l quhrk] fdl h fu' fpr vof/ ds ckn 20400 #- i zkIr djusds fy, 12000 #- dh jkf' k dks 10% okf"kZd l k/ kj.k C; kti j fuosf' kr djrh gSA mi jksDr jkf' k i zkIr djus ds fy, ogfdrus o"kZ ds fy, fuos' k djrh gS\(a) 6 (b) 7(c) 9 (d) 8

47. Seven years ago, the ratio of the ages of A and B was 4 : 5.Eight years hence, the ratio of the ages of A and B will be 9: 10. What is the sum of their present ages in years ?

Gaurav Sir

Gaurav Sir97

l kr o"kZ i gys] A vkSj B dh vk; q dk vuqi kr 4 : 5 FkkA vkBo"kZ ckn] A vkSj B dh vk; q dk vuqi kr 9 : 10 gksxkA mudhorZeku vk; q dk ; ksxi Qy (o"kZ esa) Kkr djsaA(a) 41 (b) 82(c) 32 (d) 56

48. Two successive discounts, each of x% on the marked priceof an article, are equal to a single discount of Rs. 331.20. Ifthe marked price of the article is Rs. 920, then the value ofx is :

fdl h oLrq ds vafdr ewY; i j i zkIr i zR; sd x% dh nksØekxr NwV] 331.20 #- dh ,dy NwV ds cjkcj gSA ; fn oLrqdk vafdr ewY; 920 #- gS] rks x dk eku Kkr djsaA(a) 20 (b) 18(c) 15 (d) 25

49. A sum amounts to Rs. 7562 in 4 years and to Rs. 8469.44 in5 years at a certain rate percent per annum, when the inter-est is compounded yearly. The rate of interest is :

t c C; kt dh x.kuk okf"kZd pØof¼ vk/ kj i j gksrh gS] rksdksbZ jkf' k fdl h fuf' pr okf"kZd C; kt nj i j 4 o"kZ esa 7562#- vkSj 5 o"kZ 8469-44 #- gks t krh gSA C; kt nj Kkr djsA(a) 8% (b) 12%(c) 20% (d) 15%

50. If A's salary is 60% more than B's salary, then by whatpercentage is B's salary less than that of A ?

; fn A dk osru] B ds osru l s 60% vf/ d gS] rks B dk osruA ds osru l s fdrus i zfr' kr de gS\(a) 47.7% (b) 33.3%(c) 37.5% (d) 45%

SOLUTION1. Ans:– (b)

5K = 126 × 5

18× 12 = 420m.

3K = 252 m.2. Ans:– (d)

A : B = 2 : 1T.W = 3 × 13

B = 391

= 39 days

3. Ans:– (b)in 2010 minimum students in A & B

i.e 500 + 600 = 11004. Ans:– (b)

School A (2009, 2011, 2013)= 800 + 700 + 750 = 2250School B (2008, 2012, 2013) 550 + 500 + 480 = 15302250 : 1530 = 25 : 17

5. Ans:– (d)in A = 640 + 800 + 500 + 700 + 900 + 750 = 4290in B = 3700= 429 : 370

6. Ans:– (c)

4a² = 2 21 2d d

22d = 144 × 4

d2 = 24 cm

Area = 12

× d1× d2 = 120 cm²

7. Ans:– (d)4 (sec² 33 - tan²33) – 0

- y × 1 = y2

y = 83

8. Ans:– (c)

42%9. Ans:– (c)

12 18 5 7.5 cm10. Ans:– (a)

4a = 40 a = 10 cml : b = 3 : 22 × 5k = 40

Gaurav Sir

98Gaurav Sir

k = 4l = 12m b = 8mArea = l × b = 12 × 8 = 96 m²

11. Ans:– (d)

90 28

11 11 hr..

12. Ans:– (c)4 - 2sin² - 5cos = 0put= 60°thencos + tan

= 1 1 2 3

32 2

13. Ans:– (d)use formula

x + y –xy

100 20.79%

14. Ans:– (c)students between 150-155 15between 175 - 1806difference = 15 - 6 = 9

15. Ans:– (c)Students = 160 - 17010 + 14 = 24Total students = 70

% = 2470

× 100 = 34

16. Ans:– (c)170 - 175 12165 - 170 14

=2

14× 100 = 14.28%

17. Ans:– (c)No. = 7 × 28, 11 × 28difference = 112

18. Ans:– (a)

AOB = 52

OAB = OBA = 180 52

2

= 64°

19. Ans:– (d)

8 - 3 ÷ 6 of 2 + (4 ÷ 4 of 14

)

÷ 8 + (4 × 8 ÷ 14

) × 18

= 8 - 14

+ 4 × 18

+ 16

= 24 - 1 1 974 2 4

20. Ans:– (d)

14331433 1422 142512

1 6 912 54

12 = 6 remainder

21. Ans:– (a)(a - 6)² + (b - 6)²+ (c + 12)² = 0a = 6, b = 6, c = -12

ab bc ca

= 36 = 6

22. Ans:– (d)x - 6 + x + x - 11 = 39 × 12 - 5 × 35 - 40 × 4x = 502x - 6 = 94Average = 47

23. Ans:– (b)A = 63.5 × 2 + 67.5 × 2 - 65 × 3A = 67

24. Ans:– (a)1375 : 1625 : 187511 : 13 : 1513 520039 Rs. 15600

25. Ans:– (a)

Gaurav Sir

Gaurav Sir99

APD = 44

APB = 136

AEB = x° = 136 - 60 = 76°26. Ans:– (c)

in 2 days = 3 × 2 = 6

Now, C = 13

60% work = 6

C = 613

= 18 days

27. Ans:– (b)

78y = 784y = 4785x 36784x = 6, x - y = 2

28. Ans:– (b)16.5% = 330025.8% = 5160

29. Ans:– (b) (20.5 + 16.6) - (18.9 + 10.8)= 7 .4 × 10000= 74000

30. Ans:– (b)1.57% = 1570100% = 100000

31. Ans:– (d)

6.35 6.35 6.35 3.65 ³63.5 ² (36.5)² 63.5 36.5

= 6.35 3.65

100

= 0.1

32. Ans:– (a)

40 40 5A B 2

40 40B 2A = 1

40A

= 7

33. Ans:– (d)2 × 14 × h = 880h = 10 cm

r²h = 227

× 14 × 14 × 10 = 6160

34. Ans:– (a)

ABE CDE

then CD ABCE BE

1 AB3 1425

AB = 47535. Ans:– (b)

in starting 10 hr.10 ( 15 + 10 - 6) = 190

Now = 504

= 1212

hr..

36. Ans:– (a)

x4 + 4

1x

= 194

x² + 1x²

= 14

x + 1x

= 4

37. Ans:– (a)

= 40 2437 21

= 1616

= 1

38. Ans:– (b)LCM of 15, 18, 36

Gaurav Sir

100Gaurav Sir

180No. = 180k + 9

180k 9

11

k = 6

Number = 108939. Ans:– (d)

shaded region = Area of triangle - 12

circle area

= 12

× 24 × 10 - 12

× 227

× 4.2²

= 92.28 cm²40. Ans:– (b)

110 100 116

6116

× 100 = 5.2%

41. Ans:– (d)

BOC = 90 + A

2

A = 104

42. Ans:– (c)

110 × 100 x

100

= 50 × 100 x

100

x = 752

650 × 75

2 100 = 243.75

= 180 57.5

100

= 103.50

more % = 136%43. Ans:– (a)

= 3

( 5x)³ 3y

5x 3y

= 25x 3y 5x² 15xy 3y

5x 3y

= 5x² + 15 xy + 3y²

= 3A + B - 15 C

= 15 + 3 - 15= 3

44. Ans:– (d)

AR = AQ = 3.5BR = BP = 7CP = CQ = 4.5Perimeter = (3.5 + 7 + 4.5) × 2 = 30 cm

45. Ans:– (a)24% = 660112% = 3080

46. Ans:– (b)

prt100

= SI r = 7 year

47. Ans:– (a)present age = 9 × 3 + 14 = 41 years

48. Ans:– (a)

920 × 100 x 100 x

100 100

= 588.80

x = 20%49. Ans:– (b)

rate % = 907.447562

× 100 = 12%

50. Ans:– (c)A : B = 160 : 100

= 60

160× 100 = 37.5%

Gaurav Sir

Gaurav Sir101

PAPER - 2 Date :- 23/11/2020 (Shift -2)

1. If house tax is paid before the due date, one gets a reduc-tion of 12% on the amount of the bill. By paying the taxbefore the due date, a person got a reduction of Rs.2100.The amount (in Rs.) of house tax was :

; fn fu/ kZfjr l e; l s i gys gkml VSDl (xg dj) dkHkqxrku djus i j] fcy jkf' k i j 12% dh NwV feyrh gSA fu/kZfjr l e; l s i gys VSDl dk Hkqxrku djds] fdl h O; fDr dks2100 #- dh NwV feyhA gkml VSDl dh jkf' k (#- esa) KkrdjsA(a) 25,000 (b) 17,500(c) 21,000 (d) 18,000

2. If sec 3x = cosec (3x – 45°), where 3x is an acute angle,then x is equal to :'sec 3x = cosec (3x – 45°), gS] t gka 3x U; w.k dks.k gS] rks x dkeku Kkr djsA x(a) 27.5° (b) 45°(c) 35° (d) 22.5°Direction (Q. 3 ):- The given bar graph represents thenumber of boys and girls in five different schools. Studythe graph and answer the question that follows.

fn; k x; k ckj xzki Q i kap fofHkUu fo| ky; ksa esa yM+ds vkSjyM+fd; ksa dh l a[ ; k dks n' kkZrk gSA xzki Q dk vè; ; u djsa vkSjml l s l acaf/ r i z' u dk mRrj nsaA

3. What is the average number of boys in schools A, B, C, Dand E ?

fo| ky; A, B, C, D vkSj E esa yM+dks dh vkSl r l a[ ; k KkrdjsA(a) 569 (b) 596(c) 660 (d) 616

4. What is the ratio of girls and boys from all the schools takentogether ?

, d l kFk l Hkh fo| ky; ksa ds yM+fd; ksa vkSj yM+dksa dh l a[ ; kdk vuqi kr Kkr djsaA(a) 59 : 66 (b) 61 : 59(c) 59 : 61 (d) 66 : 59

5. In which school is the percentage of girls the lowest ?fdl fo| ky; esa yM+fd; ksa dh i zfr' krrk U; wure gS\(a) B (b) E(c) A (d) C

6. Rice is now being sold at Rs. 29 per/kg. During the lastmonth, its cost was Rs. 25 per kg. By how much percentageshould a family reduce its consumption, so as to keep theexpenditure the same as before ? (correct to nearest inte-ger)pkoy vc 29 #i ; s çfr fdyks fcd jgk gSA fi Nys eghusosQ nkSjku bl dh ykxr 25 #i ; s çfr fdyksxzke FkhA , di fjokj dks v i uh • i r dks fdrus çfr' kr de djuk pkfg, ]rkfd • pZ dks i gys dh rjg gh j• k t k l osQ\ ( fudVrei w.kZkad osQ fy, l gh)(a) 15% (b) 12%(c) 13% (d) 14%

7. In ABC, A = 66°, AB and AC are produced to points Dand E, respectively. If the bisectors of angle CBD and angleBCE meet at the point O, then BOC is equal to :ABC esa A = 66° gS AB vkSj AC Øe' k% fcnq D vkSj E rdc<+k; k x; kA ; fn dks.k CBD vkSj BCE ds l e&f}Hkkt d fcanqO i j feyrs gS] rks BOC dk eku Kkr djsaA(a) 93° (b) 57°(c) 114° (d) 66°

8. A 9 cm solid metallic cube and a solid metallic cuboid hav-ing dimensions 5 cm, 13 cm, 31 cm are melted and recastinto a single cube. What is the total surface area (in cm²) ofthe new cube ?9 l seh ds , d Bksl / kfRod ?ku vkSj 5 l seh] 13 l seh] 31l seh foek okys Bksl / kfRod ?kukHk dks fi ?kykdj , d ?kucuk; k t krk gSA u; s ?ku dk dqy i "Bh; {ks=ki Qy ( l seh2 esa)Kkr djssA(a) 865 (b) 1362(c) 1176 (d) 2744Direction (Q. 9):- The given pie chart shows the percent-age distribution of 450 employees in an organisation. Studythe pie chart and answer the question that follows.fn; k x; k i kbZ pkVZ fdl h l axBu esa 450 deZpkfj; ksa dsi zfr' kr caVu dks n' kkZrk gSA i kbZ pkVZ dk vè; ; u djsa vkSjml l s l acaf/ r i z' u dk mRrj nsaA

Gaurav Sir

102Gaurav Sir

9. What is the number of employees working in departmentB?

B foHkkx esa dk; Z djus okys deZpkfj; ksa dh l a[ ; k Kkr djsA(a) 36 (b) 72(c) 63 (d) 90

10. If 60% of the employees in department E are females, howmany male employees are there in that department ?

; fn E foHkkx ds 60% deZpkjh efgyk,a gS] rks ml foHkkx esai q: "k deZpkfj; ksa dh l a[ ; k Kkr djsA(a) 72 (b) 54(c) 18 (d) 36

11. The average weight of group of 3 people A, B and C is 70kg. When D joins this group, the average becomes 60 kg.One man E, whose weight is 5 kg more than that of D,replaces A and the average weight of B, C, D and E nowbecomes 59 kg. A's weight (in kg) is :

rhu O; fDr A, B vkSj C okys l ewg dk vkSl r ot u 70 kg gSAt c D bl l ewg esa ' kkfey gksrk gS] rks vkSl r 60 fdxkz gkst krk gSA , d O; fDr E ft l dk ot u D ds ot u l s 5 fdxzkvf/ d gS] A dks i zfrLFkkfi r djrk gS vkSj rc B, C, D vkSjE dk vkSl r ot u 59 fdxzk- gks t krk gSA A dk ot u ( fdxzk-esa) Kkr djsAA(a) 39 (b) 40(c) 50 (d) 59

12. The value of

sin ²30 cos ²60 sec 35 .sin 55sec 60 cos ec30

is equal to :

(a) -14

(b)14

(c) -18

(d)18

13. ABCD is a cyclic quadrilateral such that AB is a diameter ofthe circle circumscribing it and ADC = 148°. What is themeasure of the BAC?

dksbZ pØh; prqHkqZt ABCD bl i zdkj gS fd AB bl ds vanjcus oRr dk O; kl gS vkSj ADC = 148° rks BAC dk ekuKkr djsaA(a) 60° (b) 45°(c) 58° (d) 32°Direction (Q. 14-):- The given histogram shows the fre-quency distribution of the speed of cars passing though ata particular spot on a highway. Study the graph and an-swer the question that follows.

fn; k x; k fgLVksxzke jkt ekxZ i j fdl h fo' ks"k LFkku l s xqt jusokyh dkjksa dh pky ds ckajckjrk caVu dks n' kkZrk gSA xzki Q dk

vè; ; u djsa vkSj ml l s l acaf/ r i z' u dk mRrj nsaA

14. What is the ratio of the number of cars with speed lessthan 60 km/h to the number of cars with speed more than 80km/h?

60 fdeh@?kaVs l s de pky okyh dkjksa dh l a[ ; k vkSj 80fdeh@?kaVs l s v f/ d pky okyh dkjksa dh l a[ ; k dk vuqi krdjsaA(a) 8 : 7 (b) 4 : 5(c) 5 : 4 (d) 7 : 8

15. The number of cars with speed between 70 km/h and 80km/h is what percentage more than the number of the carswith speed between 50 km/h and 60 km/h?(correct to onedecimal place)

70 fdeh@?kaVs vkSj 80 fdeh@?kaVs ds chp pky okyh dkjksa dhl a[ ; k 50 fdeh@?kaVs vkSj 60 fdeh@?kaVs ds chp pky okyhdkjksa dh l a[ ; kl s fdrus i zfr' kr v f/ d gS\ (n' keyo ds, d LFkkr rd l gh)(a) 22.2% (b) 29.7%(c) 28.6% (d) 15.5%

16. What percentage of cars were running with speed lessthan 70 km/h?

70 km/h l s de pky i j pyus okyh dkjksa dk i zfr' kr KkrdjsaA(a) 51.25% (b) 30%(c) 45.75% (d) 60%

17. Let ABC ~ RPQ and

ar ABC 4ar PQR 9

. If AB = 3cm,

BC= 4cm and AC = 5 cm, then PQ (in cm) is equal to :

ekuk ABC ~ RPQ vkSj

ar ABC 4ar PQR 9

gSA ; fn AB =

3cm, BC= 4cm vkSj AC = 5 cm, gS] rks PQ dk eku ( l seh esa)Kkr djsaA(a) 12 (b) 6

Gaurav Sir

Gaurav Sir103

(c) 4.5 (d) 518. The length of the shadow of a vertical pole on the ground

is 18 m. If the angle of elevation of the sun at that time is

such that cos =1213

, then what is the height (in m) of the

pole ?

Hkw&ry i j fdl h v / ksyac [ kaHks dh i jNkbZ dh yackbZ 18ehVj gSA ; fn ml l e; l w; Z dk mUu; u dks.k bl i zdkj gS

fd cos =1213

gS] rks [ kaHks dh ÅapkbZ (ehVj esa) Kkr djsaA

(a) 7.5 (b) 9(c) 18 (d) 12

19. Two pipes can fill a tank in 15 hours and 4 hours respec-tively, while a third pipe can empty it in 12 hours. How long(in hours) will it take to fill the empty tank if all the threepipes are opened simultaneously ?

nks i kbi ] fdl h Vadh dks Øe' k% 15 ?kaVs vkSj 4 ?kaVs esa Hkjl drs gSA t cfd , d rhl jk i kbi l s 12 ?kaVs esa [ kkyh djl drk gSA ; fn rhuksa i kbi , d l kFk [ kqys gks] rks Vadh Hkjusesa fdruk l e; (?kaVs esa) yxsxk\

(a)207

(b)157

(c)507

(d)307

20. A rectangular lawn whose length is twice of its breadth isextended by having four semi-circular portions on its sides.What is the total cost (in Rs.) of levelling the entire lawn atthe rate of Rs. 100 per square metre, if the smaller side ofthe rectangular lawn is 12 m ? (Take = 3.14)

dksbZ vk; rkdkj ykWu] ft l dh yackbZ ml dh pkSM+kbZ dh nksxquhgSA ft l s bl dh Hkqt kvksa i j pkj v / ZoRrkdkj vkdfr; ska cukusds fy, c<+k; k t krk gSA i wjs ykWu dks 100 #- i zfr oxZ ehVjdh ykxr l s l ery djokus ds fy, fdrus : i ; s [ kpZ gksxsa]; fn vk; rkdkj ykWu dh NksVh Hkqt k dh yackbZ 12 ehVj gSA( = 3.14 ysa)(a) 86, 540 (b) 97, 625(c) 85, 320 (d) 78, 650

21. Asha and Suman's mud forts have heights 9 cm and 16 cm.They are 24 cm apart. How far (in cm) are the fort tops fromeach other ?

vk' kk vkSj l qeu }kjk cuk; s x; s feV~Vh ds fdyks dh ÅapkbZ9 l seh vkSj 16 l seh gSA os , d&nwl js l s 24 l seh dh nwjhi j gSA muds ' kh"kksZ ds chp dh nwjh ( l seh esa) Kkr djsA(a) 16 (b) 7(c) 25 (d) 24

22. The remainder when 75 × 73 × 78 × 76 is divided by 34 is :

75 × 73 × 78 × 76 dks 34 l s foHkkft r djus i j i zkIr ' ks"ki QyKkr djsA(a) 15 (b) 22(c) 18 (d) 12d)

23. A and B started a business investing amounts of Rs. 92,500and Rs. 1,12,500, respectively. If B's share in the profit earnedby them is Rs. 9000, what is the total profit (in Rs.) earnedby them together ?

A vkSj B Øe' k% 92500 vkSj 1]12500 fuosf' kr djds dksbZO; ol k; ' kq: djrs gSA ; fn muds }kjk i zkIr ykHk esa B dkfgLLkk 9000 #- gS] rks mu nksuksa ds }kjk i zkIr dqy ykHk (#-esa) Kkr djsaA(a) 19,000 (b) 21, 240(c) 16,400 (d) 20, 000

24. A single discount equivalent to three successive discountsof 8%, 15% and 12% is :

8%, 15% , vkSj 12% dh rhu Øekxr NwV ds l erqY; , dyNwV Kkr djsaA(a) 68.816% (b) 31.184%(c) 35% (d) 17.5%

25. The monthly salary of a person was Rs. 50,000. He used tospend on Family expenses (E), Taxes (T), Charity (C), andthe rest were his savings. E was 60% of the income, T was20% of E, and C was 15% of T. When his salary got raisedby 40%, he maintained the percentage level of E, but Tbecomes 30% of E and C becomes 20% of T. The differencebetween the two savings (in Rs.) is :

fdl h O; fDr dk ekfl d osru 50000 #- gSA ft l s ogi kfjokfjd [ kpZ (E), dj (T) nku (C) esa O; ; djrk gS vkSj ' ks"kjkf' k cpkrk gSA E vk; dk 60%, T, E dk 20% vkSj C, T dk15% gSA t c ml dh vk; esa 40% dh of¼ gqbZ] ml us E dki zfr' kr i woZor jgus fn; k ysfdu T, E dk 30% vkSj C, T dk20% dj fn; kA nksuksa cpr ds chp varj (#- esa) Kkr djsaA(a) 128 (b) 220(c) 130 (d) 250

26. If x² + 8y² - 12y - 4xy + 9 = 0 then the value of (7x - 8y) is :(a) 9 (b) 5(c) 12 (d) 21

27. The students of a class donated a sum of Rs. 2209. If eachstudent donated as many rupees as the numberof studentsin the class, then the number of students in the class is :

fdl h d{kk ds fo| kFkhZ 2209 dh jkf' k nku djrs gSA ; fni zR; sd fo| kFkhZ us mrus gh : i ; s nku fd, ft rus fd d{kkes fo| kfFk; ksa dh l a[ ; k gS] rks d{kk esa fo| k; kfFkZ; ksa dh l a[ ; kKkr djsaA

Gaurav Sir

104Gaurav Sir

(a) 49 (b) 53(c) 51 (d) 47

28. The value of 1 3 1

5 of4 7 2

÷ 1 7 9

5 7 99 8 20

× 1121

-

15 2of

2 is :

(a) 0 (b)3524

(c) -2 (d)1528

29. If the difference between the compound interest and simpleinterest at 17% on a sum of money for 2 years (compoundedannually ) is Rs. 433.50, then the sum (in Rs) is:fdl h / ujkf' k i j 17% dh C; kt nj l s 2 o"kZ esa i zkIrpØof¼ C; kt vkSj l k/ kj.k C; kt ds chp dk varj 433-50#- gS ( ; fn C; kt dh x.kuk okf"kZd pØof¼ vk/ kj i j gksrhgS) ] rks jkf' k(#- esa) Kkr djsaA(a) 12,000 (b) 25,000(c) 15,000 (d) 20,000

30. PA and PB are two tangents from a point P outside thecircle with centre O. If A and B are points on the circle suchthat APB = 100°, then OAB is equal to :PA vkSj PB, O dsanz okys oRr ds ckg~; fcnq P l s [ khaph xbZnks Li ' kZ js[ kk, a gSA ; fn oRr i j fcanq A vkSj B bl i zdkj fLFkrgS fd APB = 100°gS] rks OAB dk eku Kkr djsA(a) 50° (b) 35°(c) 45° (d) 70°

31. The value of 0.325 0.325 0.175 0.175 25 0.00455

5 0.0065 3.25 7 0.175 0.025

- 0.51.5

is :(a) 3 (b) 0(c) -1 (d) -3

32. What is the central angle of the sector representing thenumber of employees in department A ?foHkkx A esa deZpkfj; ksa dh l a[ ; k dks fu: fi r djus okysoRr[ kaM dk dsznh; dks.k Kkr djsA

(a) 72° (b) 36°(c) 108° (d) 90°

33. If the area of a square is decreased by 19%, then the diago-nal of the square is decreased by :

; fn fdl h oxZ ds {ks=ki Qy esa 19% dh deh gqbZ] rks oxZ dsfod.kZ esa gqbZ deh Kkr djsA(a) 15% (b) 12%(c) 10% (d) 5%

34. If x² - 5x + 1 = 0, then the value of 4 1

xx²

÷ (x² + 1) is :

(a) 21 (b) 25(c) 24 (d) 22

35. The least number which is exactly divisible by 5, 6, 8, 10and 12 is :

og NksVh l s NksVh l a[ ; k Kkr djsa t ks 5, 6, 8, 10 vkSj 12 l si w.kZr% foHkkT; gSA(a) 180 (b) 150(c) 240 (d) 120

36. A person's salary increased from Rs. 8100 to Rs. 9000. Whatis the percentage increase in his salary ?

fdl h O; fDr dk osru 8100 #- l s c<+dj 9000 #- gks t krkgSA ml ds osru esa gqbZ i zfr' kr of¼ Kkr djsaA

(a) 619

% (b) 1379

%

(c) 1119

% (d) 919

%

37. X can do a work in 3 days, Y does three times the samework in 8 days, and Z does five times the same work in 12days. If they have to work together for 6 hours in a day,then in how much time can they complete the work ?

X, fdl h dk; Z dks 3 fnu esa dj l drk gS Y ml h dk; Z dsrhu xqus dks 8 fnu esa dj l drk gS vkSj Z ml h dk; Z ds i kapxqus dks 12 fnu esa dj l drk gSA ; fn os , d l kFk i zfrfnu6 ?kaVs dk; Z djrs gS] rks muds }kjk dk; Z dks i wjk djus esa yxusokyk l e; Kkr djsA(a) 4 hours (b) 5 hours(c) 5 hour 20 minutes (d) 4 hours 10 minutes

38. If A is 16

of C and B is twice of A, and the average of A, B

and C is 30, then the difference between A and C is :

; fn A, C dk 1/6 gS B, A dk nks xquk gS vkSj A, B vkSj C dkvkSl r 30 gS] rks A vkSj C ds chp varj Kkr djsA(a) 60 (b) 40(c) 80 (d) 50

Gaurav Sir

Gaurav Sir105

39. If the annual rate of simple interest increases from 11% to

1712

%, a person's yearly income increases by Rs. 1071.20.

The principal amount invested (in Rs.) is :

; fn okf"kZd l k/ kj.k C; kt dh nj 11% l s c<+dj 17 12

% gks

t krh gS] rks fdl h O; fDr dh okf"kZd vk; 1071-20 #- rdc<+ t krh gSA fuosf' kr ewy jkf' k (#- esa) Kkr djsAA(a) 19,120 (b) 17,250(c) 10,710 (d) 16, 480

40. If a wheel has diameter 42 cm, then how far does the wheel

go (in metres) in 12 revolutions ? (Take 227

)

; fn fdl h i fg; s dk O; kl 42 l seh gS rks ; g 12 pDdjksa

esa fdruh nwj (ehVj es) t k, xk\ (ysa 227

)

(a) 15.84 (b) 23.27(c) 21.45 (d) 17.64

41. If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then thevalue of x³ + y³ + z³ + xyz is :(a) 1441 (b) 361(c) 1225 (d) 577

42. A bus covers a 50-kilometre distance in 1 hour 15 minutes,whereas the same distance is covered by a car in 45 min-utes. What is the ratio of the speed of the bus to the speedof the car ?

dksbZ cl 50 fdeh dh nwjh 1 ?kaVk 15 feuV esa r; djrh gS]t cfd dksbZ dkj ml h nwjh dks 45 feuV esa r; djrh gSA cldh pky vkSj dkj dh pky dk vuqi kr Kkr djsA(a) 1 : 3 (b) 3 : 1(c) 5 : 3 (d) 3 : 5

43. When operated separately, pipe A takes 5 hours less thanpipe B to fill a cistern, and when both pipes are operatedtogether, the cistern gets filled in 6 hours. In how muchtime (in hours) will pipe B fill the cistern, if operated sepa-rately ?

vyx& vyx i fjpkfyr gksus i j] fdl h Vadh dks Hkjus esai kbi A dks i kbi B l ss 5 ?kaVk de yxrk gS vkSj t c nksuksai kbi , d l kFk i fjpkfyr gksrs gS] rks Vadh 6 ?kaVs esa Hkj t krhgSA ; fn i kbi B vdsys i fjpkfyr gS rks bl ds }kjk Vadh dksHkjus esa yxus okyk l e; (?kaVs esa) Kkr djsaA(a) 18 (b) 15(c) 9 (d) 10

44. The two parallel sides of a trapezium are 27 cm and 13 cm,respectively. If the height of the trapezium is 7 cm, thenwhat is its area in m²?

fdl h l eyac prqHkqZt dh nks l ekarj Hkqt k, a Øe' k% 27 l sehvkSj 13 l seh gSA ; fn l eyac prqHkqZt ÅapkbZ 7 l seh gS] rksm² esa bl dk {ks=ki Qy Kkr djsA(a) 140 (b) 0.014(c) 1.4 (d) 0.14

45. A man bought an article and sold it at a gain of 10% . If hehad bought the article at 20% less and sold it for Rs. 1000more, he would have made a profit of 40%. The cost priceof the article (in Rs.) is :

dksbZ O; fDr , d oLrq [ kjhnrk gS vkSj ml s 10% ds ykHk i jcsprk gSA ; fn og oLrq dks 20% de ewY; i j [ kjhnrk vkSjml s 1000 #- v f/ d esa csprk] rks ml s 40% dk ykHk gksrkAoLrq dk Ø; ewY; (#- esa) Kkr djsaA(a) 50,000 (b) 60,000(c) 25,000 (d) 40,000

46. The value of 313

÷ 212

of 135

+ 3 1 3

18 7 4

is :

(a)5524

(b)2524

(c)3524

(d)524

47. A and B can do a piece of work in 36 days. B and C can dothe same work in 60 days. A and C can do the same work in45 days. In how many days can A alone complete the samework ?

A vkSj B fdl h dk; Z dks 36 fnu esa dj l drs gSA B vkSj Cml h dk; Z dks 60 fnu esa dj l drs gSA A vkSj C ml h dk; Zdks 45 fnu esa dj l drs gSA vdsyk A ml h dk; Z dks fdrusfnu esa i wjk djsxk\(a) 90 (b) 45(c) 60 (d) 120

48. A person travels a distance of 300 km and then returns tothe starting point. The time taken by him for the outwardjourney is 5 hours more than the time taken for the returnjourney,. If he returns at a speed of 10 km/h more than thespeed of going, what is the average speed (in km/h) for theentire journey ?

dksbZ O; fDr 300 fdeh dh nwjh r; djrk gS vkSj fi QjvkjafHkd fcanq i j oki l vkrk gSA ml ds }kjk t kus esa yxkl e; ] oki l vkus esa yxss l e; l s 5 ?kaVs v f/ d gSA ; fn ogt kus dh pky l s 10 fdeh@?kaVs dh v f/ d pky l s oki lykSVrk gS] rks i wjh ; k=kk ds nkSjku vkSl r pky ( fdeh@?kaVs esa)Kkr djsAA(a) 24 (b) 30(c) 20 (d) 15

Gaurav Sir

Gaurav Sir147

CHSL EXAMINATION – 2020

PAPER - 1 Date :- 17/03/2020 (Shift -1)

1. Sohan sold plot for Rs. 2,55,000 at a 15% loss. At whatprice should he sell the plot to gain a 10% profit ?l ksgu , d IykV dks 15» dh gkfu i j 2,55,000 # esa csprkgSA 10» ykHk çkIr djus ds fy, ml s bl IykWV dks fdrusewY; esa cspuk pkfg, \(a) Rs. 3, 33,000 (b) Rs ,3,30,000(c) Rs. 3,33,300 (d) Rs. 3,00,000

2. The difference between two numbers is 43 and their prod-uct is 50. Find the sum of their squares.nks l a[ ; kvksa ds chp dk varj 43 gS vkSj mudk xq.kuQy 50gSA muds oxks± dk ; ksx Kkr dhft , A(a) 1947 (b) 1946(c) 1948 (d) 1949

3. Two sides of a triangle are of length 3 cm and 8 cm. If thelength of the third side is 'x' cm, then :, d f=kHkqt dh nks Hkqt k, ¡ yackbZ 3 l seh vkSj 8 l seh gSaA ; fnrhl js Hkqt k dh yackbZ 'x' l seh gks] rks fuEu esa l s dkSul kfodYi l gh gS\(a) 5 < x (b) 5 < x< 11(c) 0 <x < 11 (d) x > 11

4. A dealer marks his goods at 30% above the cost price.Then he allows 35% discount on it. What would be hisloss percentage?, d nqdkunkj v i us l keku i j Ø; ewY; l s 30» v f/ dewY; vafdr djrk gSA fi Qj og bu l keku dks 35» NwV i jcsprk gSA ml dk gkfu çfr' kr Kkr djsA(a) 16.5% (b) 17.5 %(c) 18.5% (d) 15.5%

5. Which of the following numbers will completly divide 781

+ 782 + 783?fuEufyf• r esa l s dkSu l h l a[ ; k 781 + 782 + 783 dks i w.kZr%foHkkft r djsxh\(a) 399 (b) 389(c) 387 (d) 397

6. The difference of simple interest on a sum of money for 8years and 10 years is Rs. 200. If the rate of interest is 10%p.a. then what is the sum of money ?, d / ujkf' k i j 8 o"kkZs vkSj 10 o"kksZ ds l k/ kj.k C; kt dkvarj #- 200- gSA ; fn C; kt dh nj 10» okf"kZd gSs] rksewy/ u fdruk gS\(a) Rs. 1000 (b) Rs. 1400(c) Rs. 1600 (d) Rs. 1200

7. If M is the mid-point of the side BC of ABC, and the areaof ABM is 18 cm², then the area of ABC is; fnABC dh Hkqt k BC dk eè; fcanq M gks] vkSj ABMdk {ks=ki Qy 18 l seh2 gS] rks ABCdk {ks=ki Qy Kkr djsaA(a) 30 cm² (b) 34 cm²(c) 36 cm² (d) 32 cm²

8. If a³ + b³= 20 and a + b = 5, then find the value of a4 + b4.; fn a³ + b³= 20 vkSj a + b = 5, gS] rks a4 + b4 dk eku KkrdjsA(a) 25 (b) 26(c) 24 (d) 23

9. Find the value of cos 30 sin 30sin 60 cos 60

.

cos 30 sin 30sin 60 cos 60

dk eku Kkr djsa

(a) 2 3 (b) 2 3

(c) 1 3 (d) 1 310. The given bar graph represents the percentage of non-

electrified village in 6 states. A,B, C, D, E and F. Study thegraph and answer the question that follows.fn, x, ckj xzki Q 6 jkT; ksa esa xSj&fo| qrhÑr xk¡o ds çfr' krdk çfrfuf/ Ro djrs gSaA A,B, C, D, E vkSj F xzki Q dk vè; ; udjsa vkSj ml ç' u dk ' ks; j djsa t ks fuEu gSA

How many states have at most 30% or less non-electrifiedvillages ?vf/ dre 30» ; k de xSj&fo| qrhÑr xkaoksa okys fdrusjkT; gSa\(a) 3 (b) 4(c) 1 (d) 2

11. A 5 cm long perpendicular is drawn from the centre of a circleto a 24 cm long chord. Find the diameter of the circle.oÙk ds dsanz l s] 24 l seh yackbZ okyh t hok i j 5 l seh yackbZokyk , d yac [ khapk t krk gSA oRr dk O; kl Kkr dhft ,(a) 32 cm (b) 13 cm(c) 30 cm (d) 26 cm

12. How much should be added to each term of 4 : 7 so that it

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148Gaurav Sir

becomes 2 : 3 ?4% 7 ds çR; sd i n i j fdruk t ksM+k t kuk pkfg, rkfd ; g2% 3 gks t k, \(a) 3 (b) 4(c) 2 (d) 1

13. X and Y together can finish a piece of work in 15 days,while Y alone can finish it in 40 days. X alone can finishthe work in:X vkSj Y feydj 15 fnuksa esa , d dke i wjk dj l drs gSa]t cfd Y vdsys bl s 40 fnuksa esa i wjk dj l drk gSA vdsysX dks ; g dke djus esa fdrus fnu yxsaxs\(a) 24 days (b) 26 days(c) 25 days (d) 23 days

14. If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, thenfind the value of x³ + y³ + z³ - 3xy.; fn x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 vkSj zx = 4,gS] rks x³ + y³ + z³ - 3xy dk eku Kkr dhft ,(a) 150.75 (b) 152.75(c) 151.75 (d) 126

15. A man walks from point X to Y at a speed of 20 km/h, butcomes back from point Y to X at a speed of 25 km/h. Findhis average speed., d vkneh 20 fdeh @ ?kaVk dh xfr l s fcanq X l s Y LFkkui j t krk gS] ysfdu fcanq Y l s X rd 25 fdeh @ ?kaVk dhxfr l s oki l vkrk gSA ml dh vkSl r xfr Kkr dhft , A

(a) 2229

km/h (b) 2329

km/h

(c) 2529

km/h (d) 2429

km/h

16. If sec²x - 3secx + 2 = 0, then the value of x(0 < x < 90°) is :; fn sec²x - 3secx + 2 = 0, gS] rks x(0 < x < 90°) dk eku KkrdjsA(a) 45° (b) 15°(c) 60° (d) 30°

17. Study the following graph and answer the question.fuEufyf• r xzki Q dk vè; ; u djsa vkSj ç' u dk mÙkj nsaA

In which year was the value per tonne the minimum ?çfr Vu ewY; U; wure fdl o"kZ esa Fkk\(a) 2005 (b) 2007(c) 2009 (d) 2006

18. The perimeter of a rectangle is 50 cm. Its area and lengthare in the ratio of 5 : 1. Find the length of the rectangle., d vk; r dh i fjf/ 50 l seh gSA bl dk {ks=ki Qy vkSj yackbZ5% 1 ds vuqi kr esa gSA vk; r dh yackbZ Kkr dhft , A(a) 15 cm (b) 20 cm(c) 18 cm (d) 22 cm

19. Sachin's income is 25% more than Dileep's income. Byhow much percentage is Dileep's income less than Sachin'sincome ?l fpu dh vk; fnyhi dh vk; l s 25» v f/ d gSA fnyhidh vk; l fpu dh vk; l s fdrus çfr' kr de gS\(a) 15% (b) 20%(c) 18% (d) 22%

20. What will come at place of x, (x < 10) for(132 12 x 3 3)

(5² 6 4 x²) =1 ?

(132 12 x 3 3)(5² 6 4 x²) =1 esa x, (x < 10) dh t xg i j D; k

vk,xk\(a) 2 (b) 4(c) 3 (d) 1Direction (Q. 21-22):-The following bar graph shows thenumber of deaths from road accidents occurred during therainy season in the year 1992. Study the graph carefullyand answer the question.fuEufyf• r ckj xzki Q l s i rk pyrk gS fd o"kZ 1992 esackfj' k ds ekSl e esa gqbZ l M+d nq?kZVukvksa l s gksus okyh ekSrksadh l a[ ; k FkhA xzki Q dk è; kui woZd vè; ; u djsa vkSj ç' udk mÙkj nsaA

21. Between which two consecutive weeks was the rise in thenumber of deaths the greatest ?dkSul s nks Øfed l Irkgksa ds chp ekSrksa dh l a[ ; k esa l cl sv f/ d of¼ gqbZ Fkh\(a) 21 july to 28 july (b) 14 july to 21 july(c) 4 august to 11 august (d) 30 june to 7 july

22. Between which two consecutive weeks was the fall in thenumber of deaths the greatest?dkSu&l s nks Øfed l Irkgksa ds chp ekSrksa dh l a[ ; k esa l cl sv f/ d fxjkoV vkbZ Fkh\(a) 7 july to 14 july (b) 28 july to 4 august(c) 30 june to 7 july (d) 21 july to 28 july

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23. In the given figure, chords AB and CD are intersectingeach other at point L. Find the length of AB.fn, x, vkdfr esa] t hok, a AB vkSj CD , d&nwl js dks fcanqL i j çfrPNsn dj jgs gSaA AB dh yackbZ Kkr djsaA

(a) 22.5 cm (b) 21.5 cm(c) 24.5 cm (d) 23.5 cm

24. A batsman in his 11th inning makes a score of 77 runs,thereby increasing his average scores by 3. What is hisaverage score after the 11th inning?, d cYysckt v i uh 11 oha i kjh esa 77 ju dk Ldksj cukrkgS] ft l l s ml dk vkSl r Ldksj 3 c<+ t krk gSA 11 oha i kjhds ckn ml dk vkSl r Ldksj D; k gS\(a) 46 (b) 49(c) 47 (d) 48

25. If cosec + cot = 2, then sin is :; fn cosec + cot = 2, gS] rks sin dk eku Kkr djsA

(a)35

(b)25

(c)34

(d)45


x × 1720

= 255000

x × 1110

= 330000

2. Ans:– (d)ab = 50a + b = 43a² + b² - 2ab = 43²a² + b² = 1849 + 100 = 1949

3. Ans:– (b)if a, b, c are sides of triangle then

a c b a c

8 – 3 < x < 8 + 35 < x < 11

4. Ans:– (d)

CP : MP 35%discount : SP100 130 84.5Loss % = 15.5%

5. Ans:– (a)781 + 782 + 783

= 781 (1 + 7 + 49)= 57 × 781

= 399 ×780

divisible by 399.6. Ans:– (a)

SI = PRT100

P 10 10 P 10 8100 100

= 200

P = 10007. Ans:– (c)

1 182 36 cm²

8. Ans:– (d)a³ + b³ = 20.......(i)a + b = 5a² + b²+ 2ab = 25.....(ii)from (i)a² + b² - ab = 4.......(iii)from (i) and (iii)ab = 7, a² + b² = 11a4 + b4 + 2a²b² = 121a4 + b4 = 121 - 2 × 49 = 23

9. Ans:– (b)

3 13 12 2

3 1 3 12 2

=

3 1 3 1 4 2 323 1 3 1

= 2 310. Ans:– (a)

only 3 state i.e. A, C and E11. Ans:– (d)

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150Gaurav Sir

r² = 12² + 5² = 169r = 13, 2r = 26 cm

12. Ans:– (c)4 : 7

+2 +26 : 92 : 3

check by option13. Ans:– (a)

x 120

5 = 24 days

14. Ans:– (d)x + y = 4, xy = 2x³ + y³ + 3xy (x + y) = 64x³ + y³ = 40.........(i)y + z = 5 yz = 3y³ + z³ + 3yz (y + z) = 125y³ + z³ = 80.........(ii)z+ x = 6, zx = 4z³ + x³+ 3zx (x + z) = 216z³ + x³ = 144......(iii)add (i) + (ii) + (iii)x³ + y³ + z³ = 132x³ + y³ + z³ - 3xy = 132 - 6 = 126

15. Ans:– (a)

Avg. speed = 2 20 25

20 25

= 22

29 km/h

16. Ans:– (c)sec²x - 3secx + 2 = 0sec²x - 2secx - secx+ 2 = 0(secx- 1) (secx - 1) = 0secx = 2, secx = 1x = 60°, x = 0°x = 60°, x 0

17. Ans:– (a)in 2005 value per tonnes is minimum

i.e. = 150100 =1.5 per tonne

18. Ans:– (b)51

lbl b = 5

2 (l + b) = 50l = 20 cm

19. Ans:– (b)S : D= 5 : 4

% = 15 = 20%

20. Ans:– (d)132 12 x 3 3

5² 6 4 x²

= 1

11x 91 x²

= 1

x² + 11x + 10 = 0x² + 10x + x + 10 = 0(x - 1) (x - 10) = 0x = 1

21. Ans:– (d)30 june to 7 july rise in the no. of death is maximum i.e. 180- 142 =38

22. Ans:– (a)Between 7 july to 14 july fall in the number of deaths ismaximum.

23. Ans:– (b)

PA × PB = PC × PD6 × 17 = 4 × ( 4 + x)x = 21.5

24. Ans:– (c)11 (x + 3) - 10x = 77x = 44x + 3 = 47

25. Ans:– (d)cosec + cot = 2

cosec - cot = 12

2cosec = 52

cosec = 54

sin = 45

Gaurav Sir

Gaurav Sir151

PAPER - 2 Date :- 17/03/2020 (Shift -2)

1. The average price of three items is Rs. 14265. If their pricesare in the ratio 7 : 9 : 11, then the price of the costliest itemis :rhu oLrqvksa dh vkSl r dher # 14265 gSA ; fn mudhdhersa 7% 9% 11 ds vuqi kr esa gSa] rks l cl s egaxh oLrq dhdher gS%(a) Rs. 17435 (b) Rs. 16235(c) Rs. 19875 (d) Rs. 14875

2. If 1/5 of 1/4 of a number is 35, how much is 7/8 of thatnumber?; fn , d l a[ ; k ds 1/4 dk 1/5 35 gS] rks ml l a[ ; k dk 7/8 fdruk gksxk\(a) 612.5 (b) 715(c) 624.5 (d) 723.5Direction (Q. 3-6):- The given data shows the number ofmobiles (in thousands) manufactured by companies C-1,C2, C-3 and C-4 in 2017, 2018 and 2019.fn, x, MsVk 2017] 2018 vkSj 2019 esa C-1, C2, C-3 vkSjC-4 }kjk fufeZr eksckbyksa dh l a[ ; k (gt kjksa esa) fn• krk gSA

3. Which company witnessed the highest increase in manu-facturing from 2017 to 2018 ?2017 l s 2018 ds nkSjku] fdl dai uh ds mRi knu esa l cl sv f/ d of¼ nt Z dh xbZ\(a) C-3 (b) C -2(c) C -1 (d) C- 4

4. Which company manufactured the least number of mo-biles across all the years?fdl dai uh us l Hkh o"kks± esa l cl s de l a[ ; k esa eksckby dkfuekZ.k fd; k\(a) C-4 (b) C-3(c) C-1 (d) C- 2

5. Which company manufactured the highest number of mo-biles across all the years ?l Hkh o"kks± esa fdl dai uh us l cl s v f/ d eksckbyksa dkfuekZ.k fd; k\(a) C-2 (b) C-3(c) C -4 (d) C- 1

6. What is the ratio of total products manufactured by C-1 tothat of C-4?C-1 }kjk fufeZr dqy eksckbyksa dh l a[ ; k dk dai uh C-4

}kjk fufeZr dqy eksckbyksa dh l a[ ; k l s vuqi kr Kkr djsa\(a) 14 : 21 (b) 11 : 13(c) 27 : 35 (d) 32 : 31

7. If the cost price of 25 articles is equal to the selling price of35 articles find the profit/loss percentage.; fn 25 oLrqvksa dk Ø; ewY; 35 oLrqvksaa ds foØ; ewY;ds cjkcj gS rks ykHk@gkfu çfr' kr Kkr djsaA(a) Loss - 28.57% (b) Profit - 28.57%(c) Loss - 18.93% (d) Profit - 18.93%

8. There are five stations on a railway line. What is the num-ber of different journey tickets that are required for railwayauthorities ?, d jsyos ykbu i j i kap LVs' ku gSaA jsyos v f/ dkfj; ksa ds fy,vko' ; d fofHkUu ; k=kk fVdVksa dh l a[ ; k fdruh gksxh\(a) 30 (b) 20(c) 35 (d) 25

9. If a number is divided by 3, the remainder will be 2. If thenumber is added by 5 and then divided by 3, then what willbe the remainder ?; fn , d l a[ ; k dks 3 l s foHkkft r fd; k t krk gS] rks ' ks"ki Qy2 cpsxkA ; fn l a[ ; k dks 5 l s t ksM+k t krk gS vkSj fi Qj 3 l sfoHkkft r fd; k t krk gS] rks ' ks"ki Qy D; k gksxk\(a) 3 (b) 1(c) 2 (d) 0

10. Latha deposited an amount of Rs. 35000 in a bank withsimple interest 11% per annum.How much interest will sheearn after one year ?yrk us , d cSad es 35000 #i ; s dh jkf' k 11» dh okf"kZdl k/ kj.k C; kt nj i j t ek dhA , d o"kZ ds ckn ml s fdrukC; kt feysxk\(a) Rs. 3370 (b) Rs. 3500(c) Rs. 3850 (d) Rs. 3220

11. How much time will a horse take to run around a squarefield of side 175 m if it runs at the speed of 15 km/hr?; fn , d ?kksM+k 15 fdeh @ ?kaVk dh xfr l s nkSM+rk gS rks 175ehVj Hkqt k okys oxkZdkj&eSnku dk , d pDdj i wjk djus esafdruk l e; yxsxk\(a) 180 sec (b) 175 sec(c) 155 sec (d) 168 sec

12. Find the circumference of a circle whose diameter is 12inches.ml oÙk dh i fjf/ Kkr djsa ft l dk O; kl 12 bap gSA(a) 87.4672 cm (b) 95.7072 cm(c) 88.1876 cm (d) 90.2348 cm

13. Find the value of cos225°cos225° dk eku Kkr dhft ,(a) -0.7071 (b) -0.866(c) 0.7071 (d) 0.866

14. A shopkeeper purchased pens in bulk for Rs. 28 each. Hesold each for Rs. 40. What was his profit percentage ?, d nqdkunkj us 28 #i ; s i zfr i su ds ewY; i j Fkksd esa i su

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152Gaurav Sir

• jhns A ml us mu i suksa 40 #i ; s i zfr i su ds ewY; i j cspkArks ml dk ykHk çfr' kr Kkr djsa\(a) 42.85% (b) 28.40%(c) 38.75% (d) 48.12%

15. The equation of circle with centre (1, -2) and radius 4 cm is:dsaæ (1] &2) vkSj f=kT; k 4 l seh ds l kFk oÙk dk l ehdj.kD; k gksxk\(a) x² + y² + 2x - 4y = 16 (b) x² + y² - 2x + 4y = 16(c) x² + y² + 2x - 4y = 11 (d) x² +y² - 2x + 4y = 11

16. A chair was purchased for Rs. 785 and sold at a profit of22%. What was the selling price ?, d dql hZ 785 #i ; s ds fy, • jhnh xbZ FkhA vkSj ml s 22»ds ykHk i j cspk x; kA foØ; ewY; D; k Fkk\(a) Rs. 987.4 (b) Rs. 768.3(c) Rs. 857.9 (d) Rs. 957.7

17. A man buys 2 apples and 3 kiwi fruits for Rs. 37. If he buys4 apples and 5 kiwi fruits for Rs. 67, then what will be thetotal cost of 1 apple and 1 kiwi fruit?, d O; fDr 37 #i ; s esa 2 l sc vkSj 3 dhoh i Qy • jhnrkgSA ; fn og 67 #i ; s esa 4 l sc vkSj 5 dhoh i Qy • jhnrkgSA fi Qj 1 l sc vkSj 1 dhoh i Qy dh dqy ykxr D; k gksxh\(a) Rs. 20 (b) Rs. 28(c) Rs. 18 (d) Rs. 15

18. P and Q can finish a work in 10 days and 5 days, respec-tively. Q worked for 2 days and left the job. In how manydays can P alone finish the remaining work ?P vkSj Q Øe' k% 10 fnuksa vkSj 5 fnuksa esa , d dke • Redj l drs gSaA Q us 2 fnu dke fd; k vkSj ukSdjh NksM+ nhAP ' ks"k dk; Z dks fdrus fnuksa esa i wjk dj i k, xk\(a) 4 days (b) 10 days(c) 6 days (d) 8 days

19. A car travels 105 km in 3 hours and a train travels 252 kmin 4 hours. the ratio of speed of the car to that of the trainis :, d dkj 3 ?kaVs esa 105 fdeh dh nwjh r; djrh gS vkSj , dVªsu }kjk 4 ?kaVs esa 252 fdeh dh nwjh r; djrh gSA Vªsu dkjdh xfr dk vuqi kr Kkr djsA(a) 2 : 7 (b) 3 : 5(c) 9 : 11 (d) 5 : 9

20. (sin + cos )² = 2, 0° < < 90°, then the value of is :(sin + cos )² = 2, 0° < < 90°, gS] rks dk eku Kkr djsA

(a) 0 (b)2

(c) (d)4

21. The length and breadth of a rectangle are in the ratio 5 : 3.If the length is 8 m more than the breadth, what is the areaof the rectangle ?vk; r dh yackbZ vkSj pkSM+kbZ 5% 3 ds vuqi kr esa gSA ; fnyackbZ pkSM+kbZ l s 8 ehVj v f/ d gS] rks vk; r dk {ks=ki QyD; k gS\

(a) 240 m² (b) 380 m²(c) 360 m² (d) 400 m²

22. If cosec A = 257

, then what is the value of tan A?

; fn cosec A = 257

, gS] rks tan AAdk eku Kkr djsA

(a)724

(b)2524

(c)725

(d)2425

23. Find the volume (in cm³) of a sphere whose radius is 7.5cm.7-5 l seh f=kT; k okys xksys dk vk; ru (in cm³) Kkr djsaA(a) 1767.85 (b) 1985.23(c) 1683.25 (d) 1489.12

24. A triangle is NOT said to be a right-angled triangle if itssides measure :ml f=kHkqt dks l edks.k f=kHkqt ugha dgk t krk gS ft l dhHkqt kvksa dh eki -------- gks\(a) 5cm, 12cm and 13 cm (b) 5 cm, 7 cm and 9 cm(c) 6 cm, 8cm and 10 cm (d) 3 cm, 4 cm and 5 cm

25. Which of the following numbers is divisible by 4 ?afuEufyf• r esa l s dkSu l h l a[ ; k 4 }kjk foHkkT; gS\(a) 954782 (b) 674536(c) 897654 (d) 267834

SOLUTION1. Ans:– (a)

7 : 9 : 1127 = 14265 × 31 = 158511 = 17435

2. Ans:– (a)

x × 14

× 15

= 35

x = 700

x × 78

= 700 × 78

= 612.5

3. Ans:– (c)Cl company witnessed the highest increasei.e. = 65 - 59 = 6

4. Ans:– (a)C4 manufactured the least number of mobiles across all theyearsi.e. 59 + 62 + 65 = 186

5. Ans:– (b)C3 manufactured highest number of mobiles across all theyears

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Gaurav Sir153

i.e. 68 + 71 + 74 = 2136. Ans:– (d)

C1 : C4(59 + 65 + 68) : ( 59 + 62 + 65)= 192 : 186= 32 : 31

7. Ans:– (a)25 CP = 35 SPCP : SP = 7 : 5

loss % = 27 = 28.57%

8. Ans:– (b)5 × 4 = 20

9. Ans:– (b)2 5

3

R = 110. Ans:– (c)

SI = PRT100

= 35000 11 1

100

= 3850

11. Ans:– (d)Distance = 4a = 4 × 175 = 700m

Speed = 15km/h = 15 × 5

18

time = d 700 18s 15 5

= 168 sec.

12. Ans:– (b)2r = 12, r = 6circumference = 2 r= 12 inches= 12 × 3.14 × 2.54 cm= 95.7072 cm

13. Ans:– (a)cos225 = - cos45

= 1 2

22 = -0.7071

14. Ans:– (a)CP : SP = 28 : 40 = 7 : 10

profit % = 37

= 42.85%

15. Ans:– (d)General equation of circlex² + y² + 2gx + 2fy + c = 0centre(1, -2) = (-g, -f)

radius = g² f ² c

4 = 1 4 c c = 4x² + y - 2x + 4y = 11

16. Ans:– (d)

785 × 122100

= 957.7

17. Ans:– (d)2A + 3k = 37.......(i)4A + 5k = 67........(ii)(I) × 2 - (ii)k = 7m, A = 8A + K = 15

18. Ans:– (c)

Q's 2 days = 4

remained work = 61 = 6 days

19. Ans:– (d)

Speed = dt

speed ratio = 105 252:

3 4 = 5 : 9

20. Ans:– (d)check by option = 45°

21 1 2²2 2

= 2

21. Ans:– (a)l : B = 5 : 32 = 8,1 = 4,B = 12l = 20Area = lB = 240 m²

22. Ans:– (a)

cosec A = 257

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154Gaurav Sir

tanA = 724

23. Ans:– (a)

Volume of sphere = 43 r³

= 4 223 7 × 7.5 × 7.5× 7.5

= 1767.85 cm³24. Ans:– (b)

for Right angle c² = a²+ b²

25. Ans:– (b)divisibility of 4 : last 2 digit is multiple of 4.

PAPER - 3 Date :- 17/03/2020 (Shift -3)

1. If x = 1+ 2 , then find the value of1xx

.

; fn x = 1+ 2 , gS] rks 1xx

dk eku Kkr djsaA

(a) 2.1014 (b) 2.1973(c) 1.9876 (d) 1.9996

2. The length and breadth of a rectangle are in the ratio 3 : 2.If its perimeter is 730 cm, what is the area of the rectangle?, d vk; r dh yackbZ vkSj pkSM+kbZ 3% 2 ds vuqi kr esa gSA ; fnbl dk i fjeki 730 l seh gS] rks vk; r dk {ks=ki Qy Kkr djsaA(a) 31,974 cm² (b) 24452 cm²(c) 20,567 cm² (d) 28, 946 cm²

3. The ratio of tables and chairs in a room is 7 : 9. If there are560 tables and chairs in the room, then what is the numberof chairs ?, d dejs esa Vscy vkSj dqfl Z; ksa dk vuqi kr 7% 9 gSA ; fndejs esa 560 Vscy vkSj dqfl Z; ka gSa] rks dqfl Z; ksa dh l a[ ; kD; k gS\(a) 397 (b) 315(c) 463 (d) 489

4. Ram deposited an amount of Rs. 8000 in a bank's savingaccount with interest 6.5% compounded monthly. Whatamount will he get at the end of 18 months ?jke us , d cSad esa 8000 #i ; s dh jkf' k cpr [ kkrs esa t ekdhA ft l i j ml s 6-5» dh nj l s C; kt i zkIr gksrk gS] C; ktdh x.kuk ekfl d rkSj i j dh t krh gSA 18osa eghus ds varesa ml s fdruh jkf' k i zkIr gksxh\(a) Rs. 8796.9 (b) Rs. 8788.98(c) Rs. 8790.4 (d) Rs. 8907.56Direction (Q. 5-8):- The given chart shows the number ofstudents in Class 4, Class 6, and Class 7 who got firstclass, second class and failed in the final examinations.fn, x, pkVZ esa d{kk 4] d{kk 6 vkSj d{kk 7 esa mu Nk=kksadh l a[ ; k dks n' kkZ; k x; k gS t ks çFke Js.kh] f}rh; Js.kh vkSjvafre i jh{kkvksa esa v l i Qy jgsA

5. What is the pass percentage of Class 4 ?d{kk 4 dk çfr' kr D; k gS\(a) 94.66% (b) 91.23%(c) 95% (d) 90.45%

6. Which class has the highest number of students whopassed ?fdl d{kk esa mÙkh.kZ gksus okys Nk=kksa dh l a[ ; k l cl s v fèkdgS\(a) Class 4 (b) Class 5(c) Class 6 (d) Class 7

7. Which class has the least number of students who passed?fdl d{kk esa l cl s de Nk=k mÙkh.kZ gq, gSa\(a) Class 4 (b) Class 6(c) Class 7 (d) Class 5

8. What is the pass percentage of class 6 ?d{kk 6 dk mÙkh.kZ çfr' kr D; k gS\(a) 87.83% (b) 90.12%(c) 86.66% (d) 89.96%

9. Find one-fifth of three-eighth of one-third of 11760.11760 ds , d frgkbZ ds rhu&vkBosa dk , d&i kapoka fgLl k• kst saA(a) 598 (b) 294(c) 645 (d) 467

10. The difference between a number and one-third of thatnumber is 228. What is 20% of that number?fdl h l a[ ; k vkSj ml l a[ ; k ds , d frgkbZ ds chp dk varj

Gaurav Sir

Gaurav Sir155

228 gSA ml l a[ ; k dk 20» D; k gS\(a) 68.4 (b) 58.9(c) 61.8 (d) 72.5

11. Smith and Ajit can complete a task in 12 days and 18 daysrespectively. If they work together on the task for 4 days.then the fraction of the task that will be left is :fLeFk vkSj v t hr Øe' k% 12 fnuksa vkSj 18 fnuksa esa , d dk; Zi wjk dj l drs gSaA ; fn 4 fnuksa ds fy, dk; Z i j , d l kFkdke djrs gSaA rc t ks dk; Z ' ks"k jg t k, xk] og gS%(a) 5/9 (b) 2/9(c) 1/9 (d) 4/9

12. Find x if 2sin²x - 1 = 0.; fn 2sin²x - 1 = 0. x dk eku Kkr djsaA

(a)4

(b)2

(c) 0 (d) 13. A product sold at `925, whose MRP is `978 by a whole-

sale shop owner. What is the percentage of discount givenby him?, d mRi kn] ft l dh , evkji h `978 , d Fkksd nqdkunkj}kjk `925 esa cspk x; kA ml ds }kjk nh xbZ NwV dk çfr' krKkr djsA(a) 6.5% (b) 9.2%(c) 5.4% (d) 7..8%

14. Which of the following numbers is divisible by 9?fuEufyf• r esa l s dkSu l h l a[ ; k 9 l s foHkkT; gS\(a) 897342 (b) 594327(c) 346217 (d) 734895

15. What is the equation of a circle with centre of origin andradius is 6 cm ?mRi fRr dsanz vkSj 6 l seh f=kT; k okys oRr dk l ehdj.k D; k gS\(a) x² + y² - x - y = 36 (b) x² + y² -x = 36(c) x² + y² - y = 36 (d) x² + y² -36 = 0

16. The sum of two numbers is 59 and their product is 840.Find the sum of their squares.nks l a[ ; kvksa dk ; ksxi Qy 59 gS vkSj mudk xq.kui Qy 840 gSAmuds oxks± dk ; ksxi Qy Kkr dhft , A(a) 2961 (b) 1754(c) 1801 (d) 1875

17. Two cars starts from the same place at the same time atright angles to each other. Their speeds are 54 km/hr and72 km/h. respectively. After 20 seconds the distance be-tween them will be :nks dkjsa , d gh LFkku l s , d gh l e; esa l edks.k i j , dnwl js l s ' kq: gksrh gSaA budh xfr 54 fdeh @ ?kaVk vkSj 72fdeh @ ?kaVk gSA Øe' k% 20 l sdaM ds ckn muds ds chp dhnwjh gksxh%(a) 480 m (b) 540 m(c) 720 m (d) 500 m

18. The average age of 16 students in college is 20. Out ofthem, the average age of 5 students is 20 and the averageage of the other 10 students is 20.4. Find the age of the16th college student.fdl h dkWyst esa 16 Nk=kksa dh vkSl r vk; q 20 o"kZ gS& muesal s 5 Nk=kksa dh vkSl r vk; q 20 o"kZ gS vkSj vU; 10 Nk=kksa dhvkSl r vk; q 20-4 o"kZ gS& dkWyst ds 16 osa Nk=k dh vk; qKkr djsa&(a) 24 (b) 16(c) 20 (d) 22

19. If cot = 8039

, find the value of cosec

; fn cot = 8039

, gks rks cosec dk eku Kkr djsA

(a)3980

(b)8939

(c)3989

(d)8980

20. A chord of length 24 cm is at a distance of 5 cm from thecentre of a circle. What is its area ?oRr ds dsaæ l s 5 l seh dh nwjh i j yackbZ 24 l seh dk , dt hok fLFkfr gSA bl dk {ks=ki Qy Kkr djsA(a) 120 cm² (b) 480.67 cm²(c) 531.14 cm² (d) 389.28 cm²

21. If the height of an equilateral triangle is 12 cm, then what isthe area of the triangle?; fn l eckgq f=kHkqt dh ÅapkbZ 12 l seh gS] rks f=kHkqt dk{ks=ki Qy fdruk gS\(a) 89.567 cm² (b) 96.897 cm²(c) 67.9843 cm² (d) 83.1384 cm²

22. If the difference between two numbers is 6 and the differ-ence between their squares is 60, what is the sum of theircubes ?; fn nks l a[ ; kvksa ds chp dk varj 6 gS vkSj muds oxks± dschp dk varj 60 gS] rks muds ?kuksa dk ; ksxi Qy Kkr djsaA(a) 678 (b) 945(c) 894 (d) 520

23. What is the area of a triangle whose sides measure 5 cm, 6cm and 7 cm?, d f=kHkqt dk {ks=ki Qy D; k gS ft l dh Hkqt k, ¡ 5 l seh] 6l seh vkSj 7 l seh gSa\(a) 10.9797 cm² (b) 12.8484 cm²(c) 16.4545 cm² (d) 14.6969 cm²

24. If sin = 45

, find the value of sin 3 -

; fn sin = 45

, gS] rks 3 dk eku Kkr djsA

Gaurav Sir

156Gaurav Sir

(a)3245

(b)44

125

(c)64

125(d)

1225

25. By selling an article for Rs. 600, a shopkeeper makes aprofit of 20%. At what price should he sell the article toincur a loss of 20%600#i ; s esa fdl h oLrq dks cspus i j] , d nqdkunkj dks20» dk ykHk gksrk gSA 20» dh gkfu ds fy, ml s ml oLrqdks fdl dher i j cspuk pkfg, \(a) Rs. 600 (b) Rs. 400(c) Rs. 300 (d) Rs. 500


x = 1 + 2

1 2x - 1

x + 1x = 2 2

x + 1x + 2 = 2 2 + 2

1x 2 1.414 2

x

= 4.828 = 2.1973

2. Ans:– (a)l : b = 3 : 22 ( l + b) = 730SK = 365K = 73l = 219, b = 146lb = 219 × 146 = 31974 cm²

3. Ans:– (b)7 : 916 = 560

9 = 56016 × 9 = 315

4. Ans:– (a)Ist year = 520IInd year = (520 + 33.8)Amount at 18 months

= 8000 + 520 + 553.8

2= 8796.9

5. Ans:– (c)

class 4pass = 45 + 12 = 57fail = 3

pass % = 5760 × 100

= 1920

× 100 = 95%

6. Ans:– (a)class 4 has maximum number of passed students.i.e. 45 + 12 = 57

7. Ans:– (b)class 6 has the least number of students who passed i.e.42 + 10 = 52

8. Ans:– (c)class 6, pass = 52 , fail = 8

pass % = 5260

× 100 = 86.66%

9. Ans:– (b)

11760 × 1 3 15 8 3 = 294

10. Ans:– (a)

x - x3

= 228

x = 342

x × 15 = 68.4

11. Ans:– (d)

in 4 days = 4 × 5 = 20remained work = 16

fraction = 16 436 9

12. Ans:– (a)2sin²x = 1

sinx = 12

x = 45°13. Ans:– (c)

MP : SP978 : 925

Discount % = 53

978 × 100 = 5.4%

Gaurav Sir

Gaurav Sir157

14. Ans:– (d)divisibility of 9 :-sum of digit is multiple of 9.

15. Ans:– (d)General equation of sphere which centre is origin (0, 0)x² + y² = r²x² + y² - 36 = 0

16. Ans:– (c)a +b = 59, ab = 840a² + b² + 2ab = 3481a² + b² = 1801

17. Ans:– (d)18. Ans:– (b)

16th student = 16 × 20 - 5 × 20 - 10 × 20.4= 220 - 204 = 16

19. Ans:– (b)

cot = 8039

cosec = 8939

20. Ans:– (c)

r = 12² 5² = 13Area = r² = 3.14 × 13²= 531.14 cm²

21. Ans:– (d)

h = 3

2a

a = 8 3

3

4 a² =

34

× 8 × 8 × 3

= 83.136 cm²

22. Ans:– (d)a - b = 6.....(i)a² - b² = 60(a - b) (a + b) = 60a + b = 10.....(ii)from (i) and (ii)a = 8, b = 2a³ + b³ = 512 + 8 = 520

23. Ans:– (d)

S = 5 6 7

2

= 9

s(s a)(s b)(s c)

= 9 4 3 2

= 6 6 = 14.69 cm²

24. Ans:– (b)

sin = 45

sin3 = 3sin - 4 sin³

= 3 × 45

- 4 64125

= 300 256 44

125 125

25. Ans:– (b)

x × 120100 = 600

x × 80

100 = 400

PAPER - 4 Date :- 18/03/2020 (Shift -1)

1. A secant is drawn from a point P to a circle so that it meetsthe circle first at A, then goes through the centre, andleaves the circle at B. If the length of the tangent from P tothe circle is 12 cm, and th radius of the circle is 5 cm, thenthe distance from P to A is :, d fcanq P l s , d oRr dh vksj , d Nsnd [ khapk t krk gSrkfd og i gys oRr l s A i j feys] fi Qj dsanz l s gksdj t k, ]vkSj B i j oRr l s ckgj fudy t k, A ; fn P l s oRr dhLi ' kZjs[ kk dh yackbZ 12 l seh gS vkSj oRr dh f=kT; k 5 l sehgS] rks P l s A dh nwjh D; k gS\(a) 8 cm (b) 12 cm(c) 18 cm (d) 10 cm

2. If one side of a triangle is 7 with its perimeter equal to 18,and area equal to 108 then the other two sides are :

Gaurav Sir

294Gaurav Sir

PAPER - 1CGL TIER – II

Date :- 15/11/20201. In ABC, A = 90°, AD is the bisector of A meeting

BC at D, and DE AC at E. If AB= 10cm and AC =15 cmthen the length of DE, in cm is :ABC , d f=kHkqt gSa A = 90° ft l esa js[ kk AD, dks.k A dkl ef}Hkkt d gSa BC dks D i j dkVrh gS vkSj DE AC, E fcUnqjs[ kk AC i j gSaA ; fn AB = 10 vkSj AC = 15 gSaA rc DE dh yackbZKkr dhft , A(a) 8 (b) 6(c) 6.25 (d) 7.5

2. A and B are solutions of acid and water. The ratios ofwater and acid in A and B are 4 : 5 and 1 : 2, respectively. Ifx litre of A is mixed with y litres of B, then the ratio of waterand acid in the mixture becomes 8 : 13. What is x : y ?A vkSj B , fl M vkSj i kuh ds foy; u gSA A vkSj B esa i kuhvkSj , fl M dk vuqi kr Øe' k% 4 : 5 vkSj 1 : 2 gSa ; fn A dsx yhVj dks B ds y yhVj ds l kFk feyk; k t krk gS] rks feJ.kesa i kuh vkSj , fl M dk vuqi kr 8 % 13 gks t krk gSA x : y Kkrdhft , A(a) 5 : 6 (b) 2 : 5(c) 3 : 4 (d) 2 : 3

3. A can do a piece of work in 15 days. B is 25% more effi-cient than A, and C is 40% more efficient than B, A and Cwork together for 3 days and then C leaves. A and Btogether will complete the remaining work in :A, fdl h dk; Z dks 15 fnu esa dj l drk gSA B, A dh rqyukesa 25% vf/ d dq' ky gS vkSj C, B dh rqyuk esa 40% vf/d dq' ky gSA A vkSj C , d l kFk 3 fnu ds fy, dk; Z djrsgS vkSj fi Qj C dk; Z NksM nsrk gSA A vkSj B , d l kFk ' ks"k dk; Zdks fdrus fnu esa i wjk djsaxs\

(a) 3 days (b) 212

days

(c) 4 days (d) 312

days

4. The sum of the present ages of a father and son is 52

years. Four years hence, the son's age will be 14

that ofthe father. What will be the ratio of the ages of the sonand father, 10 years from now ?fi rk vkSj i q=k dh orZeku vk; q dk ; ksxi Qy 52 o"kZ gSA vc

l s pkj o"kZ ckn] i q=k dh vk; q] fi rk dh vk; q dh 14

gksxhA

vc l s 10 o"kZ ckn] i q=k vkSj fi rk dh vk; q dk vuqi kr D; kgksxkA(a) 2 : 7 (b) 2 : 5(c) 1 : 3 (d) 3 : 8Direction (Q. 5-6):- Study the given graph and answerthe question that follows.Break up for distribution (degree wise) of the employeesworking in five departments (A, B, C, D and E) in a com-panyfn, x, xzki Q dk vè; ; u djsa vkSj uhps fn, x, i z' u dkmRrj nsaAdai uh ds i kap foHkkxksa (A, B, C, D vkSj E) esa dke dj jgsdeZpkfj; ksa dk forj.k ( fMxzh esa)

Total number of employees = 3000deZpkfj; ksa dh dqy l a[ ; k ¾ 3000

5. The total number of employees working in departments Aand C exceeds the total number of employees working indepartments B and D by x. The value of x lies between :foHkkx A vkSj C esa dk; Z djus okys deZpkfj; ksa dh dqyl a[ ; k] foHkkx B vkSj D esa dk; Z djus okys deZpkfj; ksa dhdqy l a[ ; k l s x vf/ d gSA x dk eku fdl ds chp esa gksxk\(a) 36 and 44 (b) 28 and 36(c) 44 and 52 (d) 20 and 28

6. The number of employees in department B is what per-cent of the total number of employees working in depart-ments D and E?foHkkx B esa deZpkfj; ksa dh l a[ ; k] foHkkx D vkSj E esa dk; Zdjus okys deZpkfj; ksa dh dqy l a[ ; k dh fdruh i zfr' krgS\(a) 50.4 (b) 45.8(c) 48.6 (d) 49.2

7. If 20% of the employees working in department E are trans-ferred to department A, then the difference between thenumber of employees in A and 124% of the employeesworking in department C is :

CGL TIER – 2, 2020

Gaurav Sir

Gaurav Sir295

; fn foHkkx E esa dke djus okys 20» deZpkfj; ksa dksfoHkkx A esa LFkkukarfjr fd; k t krk gS] rks A esa deZpkfj; ksadh l a[ ; k vkSj foHkkx C esa dke djus okys deZpkfj; ksa osQ124» osQ chp dk varj gS%(a) 54 (b) 50(c) 60 (d) 64

8. The height of a solid cylinder is 30 cm and the diameter ofits base is 10 cm. Two identical conical holes each ofradius 5 cm and height 12 cm are drilled out. What is thesurface area (in cm²) of the remaining solid ?fdl h Bksl csyu dh ÅapkbZ 30 l seh gS vkSj bl ds vk/ kjdk O; kl 10 l seh gSA i zR; sd 5 l seh f=kT; k vkSj 12 l sehÅapkbZ ds nks l eku ' kaDokdkj fNnz fd, t krs gSA rks ' ks"k Bksldk i "Bh; {ks=ki Qy ( l seh3 esa)Kkr dhft , A(a) 430 (b) 230(c) 330 (d) 120

9. The value of 3 ÷ 18 of 3 × 6 + 21 × 6 ÷ 18 - 3 ÷ 2 + 3 - 3 ÷ 9of 3 × 9 is :

(a)296

(b)419

(c)359

(d)476

10. If 27 (x + y)³ - 8(x - y)³ = (x + 5y) (Ax² + By² + Cxy), thenwhat is the value of (A + B - C) ?; fn 27 (x + y)³ - 8(x - y)³ = (x + 5y) (Ax² + By² + Cxy) gSa rc(A + B - C) dk eku D; k gksxk\(a) 18 (b) 16(c) 13 (d) 11

11. If 45 1153 a

1b

2c

5

, where a, b and c are positive inte-

gers, then what is the value of (4a - b + 3c) ?

; fn45 1153 a

1b

2c

5

, gS t gka a, b vkSj c / ukRed i w.kkZad

gS] rks (4a - b + 3c) dk eku Kkr dhft , A(a) 6 (b) 4(c) 5 (d) 7

12. Remi earns a profit of 20% on selling an article at a certainprice. If she sells the articles for Rs. 8 more, she will gain30%. What is the original cost price of 16 such articles?jseh dks dksbZ oLrq fuf' pr ewY; i j cspdj 20% dk ykHkgksrk gSA ; fn og oLrq dks 8 #- vkSj v f/ d esa csprh] rksml s 30% dk ykHk gksrkA , sl h gh 16 oLrqvksa dk ewy Ø;ewY; Kkr dhft , A(a) Rs. 1152 (b) Rs. 1120

(c) Rs. 1280 (d) Rs. 120013. The area of the base of a right circular cone is 81 cm²

and its height is 12 cm. What is the curved surface area (incm²)fdl h yac oRrh; ' kadq ds vk/ kj dk {ks=ki Qy 81 l seh2

gS vkSj bl dh ÅapkbZ 12 l seh gSA ' kadq dk oØ i "Bh;{ks=ki Qy ( l seh2) esa Kkr dhft , A(a) 126 (b) 135 (c) 108 (d) 144

14. A certain number of students from school X appeared inan examination and 30% students failed. 150% more stu-dents than those from school X, appeared in the sameexaminationfrom school Y. If 80% of the total number ofstudents who appeared from X and Y passed, then whatis the percentage of students who failed from Y ?fdl h i jh{kk esa fo| ky; X ds dqN Nk=k ' kkfey gq, vkSj30% Nk=k vuqRrh.kZ gq, A ml h i jh{kk esa fo| ky; X ds Nk=kksadh rqyuk esa 150% vf/ d Nk=k] fo| ky; Y l s ' kfey gq, A; fn X vkSj Y l s ' kkfey gq, Nk=kksa dh dqy l a[ ; k ds 80%mRrh.kZ gq, gs] rks Y l s vuqRrh.kZ gq, Nk=kksa dk i zfr' kr Kkrdhft , A(a) 24 (b) 20(c) 16 (d) 18

15. Surekha borrowed a sum of money and returned it in twoequal annual installments of Rs. 5547 each. If the rate of

interest was 712

% p.a. compounded yearly, then the totalinterest paid by her was :l qjs[ kk] dksbZ / ujkf' k m/ kj ysrh gS vkSj bl s i zR; sd 5547 #-dh nks l eku okf"kZd fdLrksa esa ykSVkrh gSA C; kt dh x.kukokf"kZd pØof¼ vk/ kj i j dh t krh gSA ; fn C; kt nj

712

%okf"kZD gS] rks ml ds }kjk Hkqxrku fd; k x; k dqy C; kt

Kkr dhft , A(a) Rs. 1444 (b) Rs. 1096(c) Rs. 1126 (d) Rs. 1134

16. In PQR, O is the incentre and P = 42°. Then what isthe measureof QOR ?PQR esa, O vUr% dsanz gS vkSj P = 42° gS] rks QOR dkeki Kkr dhft , A(a) 138° (b) 132°(c) 111° (d) 121°

17. A sold a watch to B at a profit of 20%, B sold it to C at 30%profit. C sold it to D at 10% loss. If B's profit is Rs. 80 morethan that of A, then D bought it for :A, B dks 20% ds ykHk i j dksbZ ?kM+h csprk gSA B bl s C dks30% ds ykHk i j csprk gSA C bl s D dks 10% dh gkfu i jcsprk gSA ; fn B dk ykHk A dh rqyuk esa 80 #- v f/ d gS]rks D bl s fdrus es [ kjhnrk gSA(a) Rs. 700 (b) Rs. 680(c) Rs. 652 (d) Rs. 702

Gaurav Sir

296Gaurav Sir

Direction (Q. 18-20):- Study the given graph and answerthe question that follows.

18. In which year was the revenue 3313

% more than the aver-age expenditure of the company during 2014 to 2019 ?fdl o"kZ es vk; 2014 l s 2019 ds nkSjku dai uh ds vkSl r

O; ; l s 3313

% v f/ d Fkh\

(a) 2015 (b) 2016(c) 2018 (d) 2017

19. In how many years was the profit (Revenue - Expenditure)as a percentage of the revenue, more than 25% ?fdrus o"kksZ esa] vk; i zfr ' kr dh nj ykHk esa (vk; &O; ; ) 25% v f/ d Fkk\(a) 4 (b) 2(c) 1 (d) 3

20. The total revenue in 2015 and 2017is what percent of thetotal expenditure of the company in 2016, 2018 and 2019(correct to one decimal place ?)2015 vkSj 2017 esa dqy vk; 2016&2018 vkSj 2019 esadai uh ds dqy O; ; dh fdruh i zfr' kr gS (n' keyo dsckn , d LFkku rd x.kuk djsa) \(a) 86.5 (b) 89.1(c) 88.2 (d) 86.3

21. If a + b +c =6, a³ + b³ + c³ - 3abc = 342, then what is thevalue of ab + bc + ca?; fn a + b +c =6, a³ + b³ + c³ - 3abc = 342 gSa rc ab + bc +ca dk eku D; k gSa\(a) 5 (b) 8(c) -7 (d) -5Direction (Q.22 ): Study the given ans answer the ques-tion that follows.

22. The number of patients aged 10 or more years but below40 years is what percent less than the number of patientsaged 50 or more years but below 80 years ?10 ; k ml l s v f/ d o"kZ ysfdu 40 o"kZ l s de vk; q okysejht ksa dh l a[ ; k] 50 o"kZ ; k ml l s v f/ d ysfdu 80 o"kZl s de vk; q okys ejht ksa dh l a[ ; k l s fdrus i zfr' kr degS\(a) 30.2 (b) 25(c) 34 (d) 27.5d)

23. The value of 6 6cos sin 3sin² cos²

cosec sec (sin cos 1)(sin cos 1)

(a) 3 (b) 2

(c) 1 (d)12

24. In a circle with centre O, a diameter AB is produced to apoint P lying outside the circle and PT is a tangent to thecircle at the point C onit. If BPT = 36°, then what is themeasure of BCP ?O dsanz okys oRr esa] O; kl AB dks oRr ds ckgj fLFkr , dfacnq P rd fufeZr fd; k t krk gS vkSj PT, oRr i j fLFkr fcanqC i j Li ' kZ js[ kk gSA ; fn BPT = 36° gS] rks BCP dk ekiKkr dhft , A(a) 24° (b) 18°(c) 36° (d) 27°

25. In ABC, C = 90°. Points P and Q are on the sides ACACand BC, respectively, such that AP : PC = BQ : QC = 1 : 2.

Then, AQ² BP²

AB²

is equal to :

ABC, esa C = 90° gSA Hkqt k AC vkSj BC i j Øe' k% fcanq PvkSj Q bl i zdkj gS fd AP : PC = BQ : QC = 1 : 2. gS] rks,AQ² BP²

AB²

ds cjkcj gksxkA

(a)83

(b)43

(c)139

(d)49

26. In ABC, A - B = 33° B - C = 18°.What is the sum of the smallest and the largest angels ofthe triangle?esa ABC, A - - B = 33° B - C = 18° gSAf=kHkqt ds l cl s NksVs vkSj l cl s cM+s dks.k dk ; ksxi Qy Kkrdhft , A(a) 143° (b) 125°(c) 92° (d) 108°

27. A person divided a certain sum between his three sons inthe ratio 3 : 4 : 5. Had he divided the sum in the ratio1 1 1: :3 4 5

, the son, who got the least share earlier, wouldhave got Rs. 1188 more. The sum (in Rs) was:

Gaurav Sir

Gaurav Sir297

dksbZ O; fDr fdl h fuf' pr jkf' k dks rhu csVksa ds chp 3 %4 %5 ds vuqi kr esa foHkkft r djrk gSA ; fn ml us bl jkf' k

dks 1 1 1

: :3 4 5

ds vuqi kr esa foHkkft r fd; k gksrk] gks ml ds

ml csVs dks] ft l s i gys l cl s de fgLl k feyk Fkk] ml s1188 #- v f/ d feyrsa jkf' k (#- esa) Kkr dhft , A(a) 6768 (b) 5640(c) 7008 (d) 6840

28. If the 5-digit number 535ab is divisible by 3, 7 and 11, thenwhat is the value of (a² - b² + ab) ?; fn 5 vadks okyh l a[ ; k 535ab, 3, 7 vkSj 11 l s foHkkT; gS]rks (a² - b² + ab) dk eku Kkr dhft , A(a) 77 (b) 89(c) 95 (d) 83

29. In ABC, the bisector of A intersects side BC at D. IfAB = 12 cm, AC = 15 cm and BC = 18 cm, then the lengthof BD is :ABC esa] A dk f}Hkkt d D i j Hkqt k BC dks i zfrPNsfnrdjrk gSA ; fn AB = 12 cm, AC = 15 cm vkSj BC = 18 l seh]gS] rks BD dh yackbZ Kkr dhft , A(a) 7.5 cm (b) 8 cm(c) 9.6 cm (d) 9 cm

30. A person has to cover a distance of 160 km in 15 hours. If

he covers 45

of the distance in 23

of the time, then whatshould be his speed (in km/h) to cover the remaining dis-tance in the remaining time ?fdl h O; fDr dks 160 fdeh dh nwjh 15 ?kaVs esa r; djuh

gSA ; fn og nwjh ds 45

Hkkx dks l e; ds 23

Hkkx esa r; djrk

gS] rks ' ks"k l e; esa ' ks"k nwjh dks r; djus ds fy, ml dhpky ( fdeh@?kaVs esa) Kkr dhft , A(a) 6 (b) 8(c) 6.4 (d) 6.5

31. If the radius of the base of a right circular cylinder isincreased by 20% and the height is decreased by 30%,then what is the percentage increase/decrease in the vol-ume ?; fn fdl h yac oRrh; csyu ds vk/ kj dh f=kT; k esa 20%dh of¼ gksrh gS vkSj ÅapkbZ esa 30% dh deh gksrh gS] rksvk; ru esa gqbZ i zfr' kr of¼@deh Kkr dhft , A(a) Decrease 0.8% (b) Increase 2%(c) Increase 0.8% (d) Decrease 2%

32. When 1062, 1134 and 1182 are divided by the greatestnumberx, the remainder in each case is y. What is thevalue of (x - y) ?t c 1062] 1134 vkSj 1182 dks cM+h l s cM+h l a[ ; k x l sfoHkkft r fd; k t krk gS] rks i zR; sd ekeys esa ' ks"ki Qy y i zkIrgksrk gSA (x- y) dk eku Kkr dhft , A(a) 17 (b) 18(c) 16 (d) 19

33. X and Y enter into a partnership with capital in the ratio 3: 5. After 5 months X adds 50% of his capital, while Ywithdraws 60% of his capital. What is the share (in Rs.lakhs) if X in the annual profit of Rs. 6.84 lakhs ?X vkSj Y, 3 : 5 ds vuqi kr esa i awt h ds l kFk l k>snkjh djrs gSA5 eghus ckn] X v i uh i wat h esa 50% t ksM+rk gS] t cfd Yv i uh i wat h dk 60% fudkyrk gSA #- 6-84 yk[ k ds okf"kZdykHk esa X dk fgLl k (#- yk[ k esa) Kkr dhft , A(a) 3.72 (b) 3.6(c) 4.2 (d) 3.12

34. The compound interest on a sum of Rs. 5500 at 15% p.a.for 2 years, when the interest is compounded 8 monthly is5500 dh jkf' k i j okf"kZd 15% dh nj l s 2 o"kZ esa i zkIrpØof¼ C; kt Kkr dhft , ] t c C; kt dh x.kuk gj 8eghus i j pØof¼ C; kt ds vk/ kj i j dh t krh gSA(a) Rs. 1820.50 (b) Rs. 1773.75(c) Rs. 1850 (d) Rs. 1880

35. The average of three numbers a, b and c is 2 more than c.The average of a and b is 48. If d is 10 less than c, then theaverage of c and d is :a, b vkSj c rhu l a[ ; kvksa dk vksl r c l s 2 v f/ d gSA a vkSjb dk vkSl r 48 gSA ; fn d, c l s 10 de gS] rks c vkSj d dkvkSl r Kkr dhft , A(a) 38 (b) 35(c) 36 (d) 40

36. A and B start moving towards each other from places Xand Y, respectively, at the same time on the same day. Thespeed of A is 20% more than that of B. After meeting on

the way, A and B take p hours and 715

hours, respectively,,to reach Y and X, respectively. What is the value of p ?A vkSj B l eku fnu] l eku l e; i j Øe' k% LFkku X vkSj Yl s , d nwl js dh vksj pyuk ' kq: djrs gSA A dh pky] Bdh pky l s 20% vf/ d gSA jkLrs esa feyus ds ckn] A vkSj

B dks Øe' k% Y vkSj X rd i gqapusa esa Øe' k% p ?kaVs vkSj 715

?kaVs yxrs gSA p dk eku Kkr dhft , A(a) 4.5 (b) 5(c) 5.5 (d) 6

37. On selling an article for Rs. 123.40, the gain is 20% morethan the amount of loss incurred on selling it for Rs. 108.If the article is sold for Rs. 120.75, then what is the gain/loss per cent?fdl h oLrq dks 123-40 #- esa cspus i j i zkIr ykHk bl s 108#- esa cspdj gksus okyh gkfu dh jkf' k l s 20% vf/ d gSA ; fnoLrq dks 120-75 #- esa cspk x; k] rks ykHk@gkfu i zfr' kr Kkrdhft , A(a) Loss 2.5% (b) Loss 5%(c) Gain 2.5 % (d) Gain 5%

38. In a circle with centre O, BC is a chord. Points D and A areon the circle, on the opposite side of BC, such that DBC= 28° and BD = DC. What is the measure of BOC?

Gaurav Sir

298Gaurav Sir

O dsanz okys oRr esa] BC t hok gSA BC ds foi fjr fn' kk esaoRr i j fcanq D vkSj A bl i zdkj gS fd DBC = 28° vkSjBD = DC gSA BOC dk eki Kkr dhft , A(a) 98° (b) 84°(c) 112° (d) 96°

39. The sides BA and DE of a regular pentagon are producedto meet at F. What is the measure of EFA ?, d fu; fer i apHkqt dh Hkqt k BA vkSj DE dks F i j feykusds fy, foLRkfjr fd; k t krk gSA EFA dk eki Kkrdhft , A(a) 60° (b) 36°(c) 72° (d) 54°

40. Anuja owns 6623

% of a property. If 30% of the propertythat she owns is worth Rs. 1,25,000, then 45% of the value(in Rs) of the property is :

vuqt k ds i kl fdl h l ai fRr dk 6623

% gSA ; fn ml ds i kl

ekSt wn l ai fRr ds 30% dh dher #- 1,25,000 gS] rks l ai fRrds 45% dh dher (#- esa) Kkr dhft , A(a) 2,70,000 (b) 2,81,250(c) 2,25,000 (d) 2, 62, 500

41. If PQR, Q = 90°. If cot R= 13

, then what is the value

of sec P(cos R sin P)

cos ecR(sin R cos ecP) ?

; fn PQR, esaQ = 90° gS ; fn cot R= 13

, gS] rks

secP(cosR sin P)cosecR(sin R cosecP)

dk eku Kkr dhft , A

(a) -23

(b)27

(c) -27

(d)23

42. Find the value of cosA(secA - cosA) (cotA + tanA) = ?(a) tanA (b) cotA(c) secA (d) sinA

43. In a school 38

of the number of students are girls and therest are boys. One third of the number of boys are below

10 years and 23

of the number of girls are also below 10years. If the number of students of age 10 or more years is260, then the number of boys in the school is :

fdl h fo| ky; esa] Nk=kksa dh l a[ ; k dk 38

Hkkx yM+fd; ka

vkSj ' ks"k yM+ds gSA yM+dks dh l a[ ; k dk , d frgkbZ 10 o"kZ

l s de gS vkSj yM+fd; ksa dh l a[ ; k dk 23

Hkh 10 o"kZ l s

de gSA ; fn 10 o"kZ ; k ml l s v f/ d vk; q okys Nk=kksa dhl a[ ; k 260 gS] rks fo| ky; esa yM+dks dh l a[ ; k Kkrdhft , A(a) 312 (b) 234(c) 300 (d) 280

44. If 3x² - 5x + 1 =0, then the value of 1

x²9x²

is :

(a) 123

(b) 113

(c) 219

(d) 213

45. The graphs of the equations 3x - 20 y - 2 = 0 and 11x - 5y +61 = 0 intersect at P (a,b). What is the value of (a² + b²- ab)/(a²-b² + ab)?l ehdj.k 3x - 20 y - 2 = 0 vkSj 11x - 5y + 61 = 0 dk xzki Q P(a,b). i j i zfrPNsfnr djrk gS (a² + b²- ab) /(a²-b² + ab) dkeku Kkr dhft , A

(a)3735

(b)57

(c)3141

(d)4131

46. A, B and C started a business. Twice the investment of Ais equal to thrice the investment of B and also five timesthe investment of C. If the total profit after a year is Rs.15.5 lakhs, then the share of B in the profit is (in Rs. lakhs):A, B vkSj C dksbZ O; ol k; ' kq: djrs gSA A ds fuos' k dk nksxquk B ds fuos' k ds rhu xqus vkSj l kFk gh C ds fuos' k ds i kapxqus ds cjkcj gSA ; fn , d o"kZ ckn dqy ykHk 15-5 #- yk[ kgS] rks ykHk esa B dk fgLl k (#- yk[ k esa) Kkr dhft , A(a) 7.5 (b) 3(c) 4.5 (d) 5

47. The expression 15 10 5

10 20 40 5 80

is

O; at d 15 10 5

10 20 40 5 80

ds cjkcj gSA

(a) 10 3 2 5 (b) 5 2 2

(c) 5 3 2 2 (d) 5 2 5

48. The value of 0.0203 2.92

0.7 0.0365 2.9

÷

(12.12)² (8.12)²(0.25)² (0.25)(19.99)

is :

(a) 5 (b) 0.01(c) 0.5 (d) 0.1

49. A spherical metallic shell with 6 cm external radius weighs6688 g. What is the thickness of the shell if the density of

Gaurav Sir

Gaurav Sir299

metal is 10.5 g per cm3? (Take 227

)

6 cm ckg~; f=kT; k okys xksykdkj / fRod ' kSy dk ot u6688 xzke gSA ; fn / krq dk ?kuRo 10-5 xzke i zfr l seh3 gS]

rks ' kSy dh eksVkbZ Kkr dhft , A (Take 227

)

(a) 4 cm (b) 212

cm

(c) 3 cm (d) 2 cm

50. A can do 20% of a work in 4 days, B can do 3313

% of thesame work in 10 days. They worked together for 9 days. Ccompleted the remaining work in 6 days. B and C togetherwill complete 75% of the same work in :A fdl h dk; Z dk 20%, 4 fnu esa i wjk dj l drk gS] B ml h

dk; Z dks 3313

% 10 fnu esa i wjk dj l drk gSA os 9 fnu ds

fy, , d l kFk dk; Z djrs gSA C ' ks"k dk; Z dks 6 fnu esa i wjkdjrk gSA B vkSj C , d l kFk ml h dk; Z dk 75% fdrus fnuesa i wjk djsaxsas\(a) 9 days (b) 15 days(c) 10 days (d) 12 days

51. The marked price of an article is 40% above its cost price.

If its selling price is 7312

% of the marked price, then theprofit percentage is :fdl h oLrq dk vafdr ewY; ] ml ds Ø; ewY; l s 40% vf/

d gSA ; fn bl dk foØ; ewY; ] vafdr ewY; dk 7312

% gS]

rks ykHk i zfr' kr Kkr dhft , A(a) 2.4 % (b) 2.9%(c) 3.1% (d) 2.7%

52. The base of a right pyramid is a square of side 10 cm. If itsheight is 10 cm, then the area (in cm²) of its lateral surfaceis :fdl h yac fi jkfeM dk vk/ kj 10 l seh Hkqt k okyk oxZ gSa; fn bl dh ÅapkbZ 10 l seh gS] rks bl dk i k' oZ i "Bh;{ks=ki Qy ( l seh2 esa) Kkr dhft , A

(a) 100 (b) 100 5 1

(c) 50 5 (d) 100 553. The area (in sq. units) of the triangle formed by the graphs

of 8x + 3y = 24, 2x + 8 = y and the x -axis is :8x + 3y = 24, 2x + 8 = y vkSj x -v{k ds xzki Q }kjk fufeZr f=kHkqtdk {ks=ki Qy (oxZ bdkbZ esa) Kkr dhft , A(a) 28 (b) 14(c) 15 (d) 24

54. The value of 2.4 0.6 3 0.16

× 0.27 0.83 0.16 is :

(a) 0.11 (b) 1.1(c) 1.36 (d) 0.814

55. Let x = 1875 1200 1753888 768 1792

, then x is equal to:

(a)59

(b)7

12

(c)5

12(d)

49

56. Pipes A and B can fill a tank in 43.2 minutes and 108 min-utes, respectively. Pipe C can empty it at 3 litres/minute.When all the three pipes are opened together, they fill thetank in 54 minutes. The capacity (in litres) of the tank is :i kbi A vkSj B fdl h Vadh dks Øe' k% 43-2 feuV vkSj 108feuV esa Hkj l drs gSA i kbi C bl s 3 yhVj@feuV dh nj l s[ kkyh dj l drk gSA t c rhuksa i kbi , d l kFk [ kksys t krs gS]rks os Vadh dks 54 feuV esa Hkjrs gSA Vadh dh {kerk (yhVjesa) Kkr dhft , A(a) 200 (b) 160(c) 180 (d) 216

57. A certain sum amounts to Rs. 15,500 in 2 years at 12% p.a.simple interest. The same sum will amount to what in

112

years at 10% p.a. if the interest is compounded halfyearly (nearest to Rs. 1) ?dksbZ fuf' pr jkf' k 12% okf"kZd l k/ kj.k C; kt dh nj i j 2o"kZ esa #- 15]500 gks t krh gSA ; fn C; kt dh x.kukv¼Zokf"kZd pØof¼ vk/ kj i j dh t krh gS] rks l eku jkf' k

10% okf"kZd nj i j 112

o"kZ esa fdruh gks t k, xh (1 #- ds

fudVre eku esa) \(a) Rs. 14,470 (b) Rs. 15,125(c) Rs. 14,360 (d) Rs. 13460

58. If (10a³ +4b³) : (11a³ - 15b³) = 7 : 5, then (3a + 5b) : (9a - 2b)= ?(a) 10 : 13 (b) 8 : 7(c) 5 : 4 (d) 3 : 2

59. If (x + 20) % of 250 is 25% more than x% of 220, then 10%of (x + 50) is what percent less than 15% of x ?; fn 250 dk (x + 20) % 220 ds x% l s 25% vf/ d gS] rks (x+ 50) dk 10%, x ds 15% l s fdrus i zfr' kr de gksxk\

(a) 1623

(b) 813

(c) 1313

(d) 3313

60. If sin 3A = cos (A + 10°), where 3A is an acute angle, then

what is the value of 2cosec 3A2

+ 6sin²3A - 32

tan²3A?

; fn sin 3A = cos (A + 10°), gS] t gka 3A U; wu dks.k gS] rks

2cosec 3A2

+ 6sin²3A - 32

tan²3A dk eku Kkr dhft , A

Gaurav Sir

300Gaurav Sir

(a) 5 (b)74

(c)172

(d) 4

61. The value of cosec²30 sin ²45 sec ²60

tan 60 cos ec²45 sec ²60 tan 45

is:

(a) 2 3 2 (b) 3 2 3

(c) 3 2 3 (d) 2 3 2

62. A is 80% more than B and C is 4847

% less than the sum ofA and B. By what percent is C less than A ?A, B l s 80% vf/ d gS vkSj C, A vkSj B ds ; ksxi Qy l s

4847

% de gSA C, AAl s fdrus i zfr' kr de gS\

(a) 30 (b) 15(c) 25 (d) 20

63. The value of 2sin²38 sec²52 cos64 sin26 sin²64

tan²23 cot²23 sec²67 cosec²67

(a)3

2

(b)32

(c) 2 (d) -264. How many kg of rice costing Rs. 42 per kg should be

mixed with 712

kg rice costing Rs. 50 per kg so that byselling the mixture at Rs. 53.10 per kg, there is a gain of18%?42 #- i zfr fdxzk dher okys fdrus fdxzk- pkoy dks 50

#- i zfr fdxzk dher okys 712

fdxzk- pkoy ds l kFk feykuk

pkfg, ] rkfd i fj.kkeh feJ.k dks 53-10#- i zfr fdxzk- dhnj l s cspdj 18% dk ykHk v ft Zr fd; k t k l ds\(a) 9 (b) 8

(c) 1012

(d) 1212

65. When positive numbers x, y and z are divided by 31, theremainders are 17, 24 and 27 respectively. When (4x - 2y+3z) is divided by 31, the remainder will be :t c / ukRed l a[ ; k x, y vkSj z dks 31 l s foHkkft r fd; kt krk gS] rks Øe' k% 17] 24 vkSj 27 ' ks"ki Qy i zkIr gksrk gSAt c (4x - 2y +3z) dks 31 l s foHkkft r fd; k t krk gs] rks i zkIr' ks"ki Qy Kkr dhft , A(a) 9 (b) 16(c) 8 (d) 19

66. The areas of three adjacent faces of a cuboidal tank are3m², 12 m² and 16 m². The capacity of the tank in litres, is:, d ?kukHkdkj Vadh ds rhu Hkkxksa dks i "B {ks=ki Qy Øe' k%3 oxZ ehVj] 12 oxZ ehVj vkSj 16 oxZ ehVj gSaA Vadh dk

yhVj esa vk; ru Kkr dhft , A(a) 36000 (b) 72000(c) 24000 (d) 48000

67. Amit sold an article for Rs. 369.60 after allowing 12% dis-count on the marked price. Had he not allowed any dis-count he would have earned a profit of 20%. What is thecost price of the article ?vfer] vafdr ewY; i j 12% NwV nsus ds ckn fdl h oLrq369.60 #- esa csprk gSA ; fn ml us dksbZ NwV ugha nh gksrh rksml s 20% dk ykHk gksrkA oLrq dk Ø; ewY; Kkr dhft , A(a) Rs. 350 (b) Rs. 400(c) Rs. 380 (d) Rs. 320

68. ABCD is a cyclic quadrilateral. Diagonals BD and ACintersect each other at E. If BEC = 128° and ECD =25°, then what is the measure of BAC?ABCD , d pØh; prqHkqZt gSA fod.kZ BD vkSj AC , d nwl jsdks E i j i zfrPNsfnr djrs gSa ; fn BEC = 128° vkSj ECD = 25°, gS] rks BAC dk eki Kkr dhft , A(a) 98° (b) 52°(c) 93° (d) 103°

69. The length of two sides of a parallelogram are 3 cm and 10cm. What is the sum of the squares of the digonals of theparallelogram ?l ekarj prqHkqZt dh nks Hkqt kvksa dh yackbZ 3 l seh vkSj 10l seh gSA l ekarj prqHkqZt ds fod.kksZ ds oxksZ dk ; ksxi Qy Kkrdhft , A(a) 218 cm² (b) 109 cm²(c) 169 cm² (d) 206 cm²

70. If sec = ab

, b 0, then 1 tan ²2 sin ²

= ?

(a)b²(2b² a²)a²(a² b²)

(b)

a²(2b² a²)b²(a² b²)

(c)a²(2b² a²)b²(a² b²)

(d)

a²(2b² a²)b²(a² b²)

71. Two positive numbers differ by 1280. When the greaternumber is divided by the smaller number, the quotient is 7and the remainder is 50. The greater number is :nks / ukRed l a[ ; kvksa dk varj 1280 gSA t c cM+h l a[ ; k dksNksVh l a[ ; k l s foHkkft r fd; k t krk gS] rks Hkkxi Qy 7 vkSj' ks"ki Qy 60 i zkIr gksrk gSA cM+h l a[ ; k Kkr dhft , A(a) 1485 (b) 1458(c) 1585 (d) 1558

72.1 1 1

cos sin cos ec cot

1sec tan

= ?

(a) sin cos (b) sin tan(c) sec cosec (d) cosec cot

73. If 9x² + y² = 37 and xy = 2,x, y > 0, then the value of (27x³ +y³) is :(a) 301 (b) 217(c) 207 (d) 259

Gaurav Sir

Gaurav Sir301

74. As observed from the top of a light house, 120 3 m abovethe sea level, the angle of depression of a ship sailingtowards it changes from 30° to 60°. The distance travlelledby the ship during the period of observation is :

t Sl k fd l eqæ osQ Lrj l s 120 3 ehVj Åi j , d ykbVgkml osQ Åi j l s ns• k x; k gS] ml vksj ukSdk; u djus okyst gkt osQ voueu dks.k 30° l s 60° rd cny t krk gSArks t gkt }kjk r; dh xbZ nwjh gS%

(a) 240 m (b) 180 3 m

(c) 240 3m (d) 180 m

75. The value of 4 4 2 1 1of 2 1 3 27 5 3 2 6

÷

1 1 13 4 of5

5 2 3 is :

(a) 712

(b) 113

(c) 10 (d) 15

76. The valueof sec² (2 tan² cot ² ) (sin² tan² )

(cosec² sec² )(1 cot ² )²

(a) 1 (b) -2(c) 2 (d) -1

77. A solid metallic sphere of radius 15 cm is melted and re-cast into spherical balls of radius 3 cm each. What is theratio of the surface area of the original sphere and the sumof the surface areas of all the balls ?15 l seh f=kT; k okys Bksl / kfRod xksys dks fi ?kyk; k t krkgS vkSj fi Qj i zR; sd 3 l seh f=kT; k okyh xksykdkj xsan cukbZt krh gSA ewy xksys ds i "Bh; {ks=ki Qy vkSj l Hkh xsanks dsi "Bh; {ks=ki Qy ds ; ksxi Qy dk vuqi kr Kkr dhft , A(a) 1 : 5 (b) 5 : 27(c) 1 : 10 (d) 3 : 40

78. The numerator of a fraction is 3 more than the denomina-tor. When 5 is added to the numerator and 2 is subtracted

from the denominator, the fraction becomes 83

. When the

original fraction is divided by 512

the fraction so obtainedis :fdl h fHkUu dk va' k] gj l s 3 vf/ d gSA t c va' k esa 5 t ksM+k

t krk gS vkSj gj l s 2 ?kVk; k t krk gS] rks fHkUu 83

gks t krh

gSA t c ewy fHkUu dks 512

l s foHkkft r fd; k t krk gS] rks

i zkIr fHkUu Kkr dhft , A +

(a)12

(b)23

(c)34

(d)14

79. The curved surface area of a right cylinder is 3696 cm². Itsheight is three times its radius. What is the capacity (in

litres)of the cylinder ? (Take 227

)

fdl h yac csyu dk oØ i "Bh; {ks=ki Qy 3696 l seh2 gSAbl dh ÅapkbZ bl dh f=kT; k l s rhu xquh gSA csyu dh {kerk

(yhVj esa) Kkr dhft , ( 227

ysa)

(a) 25.872 (b) 30.87(c) 29.75 (d) 19.008

80. A certain sum is lent at 4% p.a. for 3 years, 8% p.a. for thenext 4 years and 12% p.a. beyond 7 years. If for a period of11 years, the simple interest obtained is Rs. 27,600, thenthe sum is (in Rs.)dksbZ fuf' pr jkf' k] 3 o"kZ ds fy, 4% okf"kZd nj i j] vxys4 o"kZ ds fy, 8% okf"kZd nj i j vkSj 7 o"kZ ds ckn 12%okf"kd nj i j m/ kj nh t krh gSA ; fn 11 o"kZ dh vof/ es]i zkIr l k/ kj.k C; kt 27600 #- gS] rks jkf' k (#- esa) Kkrdhft ,A(a) 25,000 (b) 32,000(c) 27,000 (d) 30,000

81. Given that x8 - 34x4 + 1 = 0, x > 0. What is the value of (x³ +x-3)?

(a) 5 6 (b) 5 8

(c) 6 6 (d) 6 882. A takes 2 hours more than B to cover a distance of 40 km.

If A doubles his speed , he takes 112

hours more than B tocover 80 km. To cover a distance of 90 km, how much timewill B take travelling at his same speed ?40 fdeh dh nwjh r; djus esa] A dks B l s 2 ?kaVs v f/ dyxrs gSA ; fn A v i uh pky dks nksxquk djrk gS] rks ml s 80

fdeh dh nwjh r; djus esa B l s 112

?kaVs v f/ d yxrs gSA

90 fdeh d nwjh r; djus ds fy, ] B dks v i uh ml h pkyl s fdruk l e; yxsxk\

(a) 113

hours (b) 138

hours

(c) 118

hours (d) 116

hours

83. A train of length 287m, running at 80 km/h, crosses an-other train moving in the opposite direction at 37 km/h in18 seconds. What is the length of the other train ?80 fdeh@?kaVs dh pky l s pyusokyh 287 ehVj yachjsyxkM+h] foi fjr fn' kk esa 37 fdeh@?kaVs dh pky l s pyjgh nwl jh jsyxkM+h dks 18 l sdaM esa i kj djrh gSA nwl jhjsyxkM+h dh yackbZ Kkr dhft , A(a) 300 m (b) 289 m(c) 285 m (d) 298 m

Gaurav Sir

302Gaurav Sir

84. In ABC, D and E are the mid points of sides BC and AC,respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BEintersect at G at a right angle, then the area (in cm²) ofABC is :ABC,esa D vkSj E Øe' k% Hkqt k BC vkSj AC, ds eè; fcanqgSA ; fn AD = 10.8 cm, BE = 14.4 cm vkSj AD vkSj BE l edks.ki j G i j i zfrPNsfnr djrs gS] rks ABC dk {ks=ki Qy ( l seh2

esa) Kkr dhft , A(a) 53.76 (b) 80.64(c) 103.68 (d) 56.76

85. Shashi sells two articles for Rs. 5000 each with no lossand no profit in the overall transaction. If one article is

sold at 1623

% loss, then other is sold at a profit of :

' kf' k 5000 #- dh nj l s nks oLrq, a csprk gS] i wsj ysu&nsuesa uk rks gkfu gksrh gS vkSj uk gh ykHk gksrk gSA ; fn , d oLrq

1623

% dh gkfu i j csph xbZ] rks nwl jh oLrq fdrus ykHk

i j csph xbZ\(a) 25% (b) 24%

(c) 1623

% (d) 1813

%86. The sum of the radii of spheres A and B is 14 cm, the

radius of A being larger than that of B. The differencebetween their surface areas is 112 . What is the ratio ofthe volumes of A and B?A vkSj B xksyksa dh f=kT; kvksa dk ; ksxi Qy 14 l seh gS] A dhf=kT; k B dh f=kT; k l s cM+h gSA muds i "Bh; {ks=ki Qyksa dschp dk varj 112 gSA A vkSj B ds vk; ruks adk vuqi krKkr dhft , A(a) 125 : 64 (b) 64 : 27(c) 27 : 8 (d) 8 : 1

87. An article is marked 35% above its cost. If a profit of 20%is earned by selling the article, then the discount per centoffered on the marked price of the article is:fdl h oLrq i j ml ds Ø; ewY; l s 35% vf/ d ewY;vafdr fd; k t krk gSA ; fn oLrq dks cspdj 20% dk ykHkgksrk gS] rks oLrq ds vafdr ewY; i j fn; k x; k NwV i zfr' krKkr dhft , A

(a) 12% (b) 1019

%

(c) 1119

% (d) 15%

88. In PQR, Q = 84°, R = 48°, PS QR at S and thebisector of P meets QR at T. What is the measure of SPT ?PQR esa Q = 84°, R = 48°, S i j PS QR gS vkSj Pdk f}Hkkt d T i j QR l s feyrk gSA SPT dk eki Kkrdhft , A(a) 12° (b) 24°(c) 21° (d) 18°

89. If 1 3 2 2 3 2 2

4 8 3 2 2 3 2 2

= a b 2 , then what is

the value of (3x + 4b) ?

(a) 9912

(b) 98

(c) 9812

(d) 97

90. The base of a right prism is a regular hexagon of side 5 cm.If its height is 12 3 cm then its volume (in cm³) is :fdl h yac fi zTe dk vk/ kj 5 l seh Hkqt k okyk , d fu; fer"kV~Hkqt gSA ; fn bl dh ÅapkbZ 12 3 l seh gS] rks bl dkvk; ru (in cm³) Kkr dhft , A(a) 1800 (b) 900(c) 1350 (d) 675

91. three men and 4 women can do a piece of work in 7 days,whereas 2 men and 1 woman can do it in 14 days, Sevenwomen will complete the same work in :rhu i q: "k vkSj 4 efgyk fdl h dk; Z dks 7 fnu esa djl drs gS] t cfd 2i q: "k vkSj 1 efgyk bl dk; Z dks 14 fnuesa dj l drs gSA l kr efgyk, a ml h dk; Z dks fdrus fnu esai wjk djsxh\(a) 10 days (b) 8 days(c) 9 days (d) 12 days

92. The monthly incomes of A and B are int he ratio 3 : 5 andthe ratio of their savings is 2 : 3. If the income of B is equalto three times the savings ofA, then what is the ratio ofthe expenditures of A and B ?A vkSj B dh ekfl d vk; dk vuqi kr 3 : 5 gS vkSj mudhcpr dk vuqi kr 2 : 3 gSA ; fn B dh vk; A dh cpr ds rhuxquk ds cjkcj gS] rks A vkSj B ds O; ; dk vuqi kr Kkrdhft , A(a) 5 : 8 (b) 8 : 15(c) 3 : 7 (d) 7 : 11

93. Rishu saves x% of her income. If her income increases by26% and the expenditure increases by 20%, then her sav-ings increase by 50% . What is the value of x?fj ' kq] vi uh vk; dk x% cpkrh gSA ; fn ml dh vk; esa 26%dh of¼ gksrh gS vkSj O; ; esa 20% dh of¼ gksrh gS] rksml dh cpr esa 50% dh of¼ gksrh gSA x dk eku Kkrdhft , A(a) 25 (b) 30(c) 20 (d) 10

94. The radii of two right circular cylinders are in the ratio 3 :2and the ratio of their volumes is 27 : 16. What is the ratioof their heights ?nks yac oRrh; csyuksa dh f=kT; kvksa dk vuqi kr 3 : 2 gS vkSjmuds vk; ruksa dk vuqi kr 27 : 16 gSA mudh Åapkb; ksa dkvuqi kr Kkr dhft , A(a) 8 : 9 (b) 3 : 4(c) 4 :3 (d) 9 : 8

Gaurav Sir

Gaurav Sir303

95. When x is added to each of 9, 15, 21 and 31, the numbersso obtained are in proportion. What is the mean propor-tional between the numbers (3x -2) and (5x + 4) ?t c x dks 9, 15, 21 vkSj 31 esa l s i zR; sd esa t ksM+k t krk gS] rksi zkIr l a[ ; k,a l ekuqi kr esa gksrh gSA l a[ ; k (3x - 2) vkSj (5x +4)ds chp eè; kuqi kr Kkr dhft , A(a) 42 (b) 35(c) 20 (d) 30

96. Given that DEF ABC. If the area of ABC is 9cm² and that of DEF = 12 cm² and BC = 2.1 cm, then thelength of EF is :fn; k x; k gS fd DEF ABC gS ; fn ABC dk{ks=ki Qy 9 cm² vkSj DEF = 12 cm² vkSj BC = 2.1 cm, tgS] rksEF dh yackbZ Kkr dhft , A

(a)8 3

5cm (b)

7 35

cm

(c)4 7

5cm (d)

3 75

cm

97. The average score in Mathematicsof 90 students of sec-tion A and B of class IX was 63. the number of students inA were 10 more than those in B. The average score ofstudents in A was 30% more than that of students in B.The average score of students in B is :d{kk IX ds l sD' ku A vkSj B ds 90 Nk=kksa dk xf.kr esa vkSl rLdksj 63 gSA l sD' ku A ds Nk=kksa dh l a[ ; k] l sD' ku B dsNk=kksa dh l a[ ; k l s 10 v f/ d gSA l sD' ku A ds Nk=kksa dsvkSl r vad] l sD' ku B ds Nk=kksa dh rqyuk es 30% vf/ d gSAl sD' ku B ds Nk=kks ds vkSl r vad Kkr dhft , A(a) 56 (b) 60(c) 50 (d) 54

98. The perimeteres of ABC and DEF are 43.2 cm and28.8 cm, respectively , and ABC DEF. If DE = 12cm, the the length of AB is :ABCvkSj DEF dk i fjeki Øe' k% 43.2 cm vkSj 28.8 cm,gS vkSj ABC DEF gSA ; fn DE = 12 cm, gS] rks ABABdh yackbZ Kkr dhft , A(a) 18.4 cm (b) 20 cm(c) 18 cm (d) 20.4 cm

99. The radius and height of a right circular cone are in theratio 3 : 4. If its curved surface area (in cm²) is 240 , thenits volume (in cm³) is :fdl h yac oRrh; ' kadq dh f=kT; k vkSj ÅapkbZ dk vuqi kr 3: 4 gSA ; fn bl dk oØ i "Bh; {ks=ki Qy ( l seh2 es)240 gS]rks bl dk vk; ru ( l seh3 esa) Kkr dhft , A(a) 2304 (b) 384 (c) 1536 (d) 768

100. sin (1 tan ) tan sec ²

(1 sin ) tan (1 tan )(sec tan )

is equal to :

(a) cosec sec (b) -1(c) 1 (d) sin cos

SOLUTION1. (b)

In ACD and BADACD BAD

AB BD 2CA CD 3

CD = 12 cmCED CABCD BCED AB

DE = 6 cm

2. (c)

49

13

821

3. (a)A : B : C = 4 : 5 : 7T. W = 60R.W = 27

A + B = 279

= 3 days

4. (c)

12 +6 : 48 + 61 : 3

5. (c)A + C = 136. 2°B + D = 130.8360° = 30005.4° = 45Lies between 44 and 52

6. (d)49.2%

7. (a)

Gaurav Sir

304Gaurav Sir

in A = 64.2°after transferredA = 82. 8, C = 72124% of C = 89.28Difference = 6.48°6.48° = 54

8. (a)

surface area of remaining solid= 2 rh + 2 rl= 300 + 130 = 430

9. (d)

= 3 ÷ 54 × 6 + 21 6

18

- 32

+ 3 -327

× 9

= 13

+ 7 + 3 - 32

-1

= 9 - 7 476 6

10. (b)27 (x + y)³ - 8(x - y)³= (3x + 3y)³ - (2x - 2y)³= (x + 5y) [ (3x + 3y)² + (2x - 2y)² + (3x + 3y) (2x - 2y)]= (x + 5y) (19 x² + 7y² + 10xy)A = 19, B = 7, C = +10A + B - C = 16

11. (c)

45 1153 1 15 22

5

a =1, b = 5, c = 24a - b + 3c = 4 - 5 + 6 = 5Short Trick

53 8145 45

a = 1

45 358 8 b = 5

12. (c)10% = 8100% = 8016 article = 16 × 80 = 1280

13. (b) r² = 81r = 9 , h = 12, l = 15 cm rl = 135 cm

14. (c)

Total pass % = 80Total fail % = 20By using allegationx = 16

15. (d)

71 3%3 40

1849 55431 3378 1134

16. (c)

QOR = 90 + P

2

QOR = 111°17. (d)

16 80140.4 702

18. (c)2018

3313

% more.

Avg. during 2014 - 2019 = 165in 2018 (Revenue) 220

19. (b)

= 2year

Gaurav Sir

Gaurav Sir347

CPO TIER – I, 2019TEST TIME:– 10:00AM – 12:00PM

TEST DATE 09/12/2019Direction (Q.1-2) -: The given pie-chart reprsents thedistribution of the percentage of sales of a particular brandof car from five showrooms A, B, C, D and E during 2018.The total number of cars sold during that year from thefive showrooms is 5000.

fn; k x; k i kbZ&pkVZ 2018 ds nkSjku i kap ' kks: e A,B, C, D vkSjE l s dkj ds , d fof' k"V czkaM dh fcØh ds i zfr ' kr caVu dksi znf' kZr djrk gSA ml o"kZ ds nkSjku i kpksa ' kks: e l s csph xbZ dkjksadh dqy l a[ ; k 5000 gSA

1. What is the central angle (nearest to 0.1 degree) of thesector corresponding to the sales from the showroom C?' kks: e C esa fcØh l s l axr [ kaM dk dsznh; dks.k (0-1va' k ds fudVre) Kkr dhft , aA(a) 60.5 (b) 50.4(c) 48.6 (d) 56.7

2- What is the total number of cars sold from the showroomsB and D?' kks: e B vkSj D ; s csph xbZ dkjksa dh dqy l a[ ; k Kkr dhft , A(a) 1650 (b) 1450(c) 1750 (d) 1550

3- After allowing a 10% discount on the marked price of anarticle, a dealer makes a profit of 5%. What is the markedprice, if the cost price of the article is Rs.300?, d nqdkunkj , d oLrq ds vafdr ewY; i j 10% dh NwV nsus dsi ' pkr Hkh 5% dk ykHk v ft Zr djrk gSA ; fn oLrq dk Ø; ewY;300 : i ; sa gS] rks ml dk vafdr ewY; D; k gksxk \(a) Rs. 320 (b) Rs. 350 Rs. 375 (d) Rs. 400

4- Which one among the following is the smallest?

fuEufyf[ kr esa l s dkSul h l a[ ; k NksVh gSA

(a) 199201 (b) 99101

(c) 299301 (d) 399401

5- At what percentage rate, compound interest compoundedannually for a sum of Rs. 40000, will amount to Rs. 44,100in two years?40000 : i ; sa dh , d / ujkf' k fdl i zfr ' kr nj i j nks o"kksZ esa44100 : i ; s gks t k, xh t gka C; kt okf"kZd : i l s pØof¼ fd; kt krk gSA(a) 2 (b) 5(c) 4 (d) 7.5

6- The ratio of two numbers is 3 : 5. If eight is added to thefirst, and seven to the second, then the ratio becomes 2: 3.What will be the ratio become if six is added to each?nks l a[ ; kvks dk vuqi kr 3% 5 gSA ; fn i gyh l a[ ; k esa 8 vkSj nwl jhesa 7 t ksM+k t krk gS] rks vuqi kr 2 % 3 gks t krk gSa ; fn i zR; sd esa6 t ksM+s t kus i j mudk vuqi kr D; k gks t k, xk\

(a) 7 : 9 (b) 5 : 9

(c) 5 : 7 (d) 9 : 14

7- A clock tower stands at the crossing of two roads whichpoint in the north- south and the east-west directions. P,Q, R and S are points on the roads due north, east, southand west respectively, where the angles of elevation ofthe top of the tower are respectively, and .Then

2

RSPQ

is equal to:

, d ?kaVk&?kj nks , sl h l M+dks d pkSjkgks i j fLFkr gS t ks mRrj&nf{k.kvkSj i woZ&i f' pe fn' kkvks dh vksj t krh gSA P, Q, R vkSj S l M+ddh Øe' k% mRrj] i woZ] nf{k.k vkSj i f' pe fn' kkvksa esa fLFkr , sl sfcanq gS] t gka l s ?kaVk&?kj ds ' kh"kZ ds mUu; u dks.k Øe' k%

vkSj gS rks 2

RSPQ

dk eku Kkr dhft , \

(a)

²cot²cot²cot²cot

(b) ²cot²cot²cot²cot

(c) ²tan²tan²tan²tan

(d)

²tan²tan²tan²tan

CPO TIER – I, 2019

Gaurav Sir

348Gaurav Sir

8- While tabulation of marks scored in an examination by thestudents of a class, by mistake the marks scored by onestudent got recorded as 93 in place of 63, and thereby theaverage marks increased by 0.5. What was the number ofstudents in the class?, d d{kk ds Nk=kks }kjk i jh{kk esa i zkIr fd, x, vadks dh rkfydkcukrs l e; ] xyrh l s , d Nk=k }kjk i zkIr fd, x, vadks dks 63ds LFkku i j 93 fy[ k fn; k x; k] ft l ds i fj.kkeLo: i vadks dsvkSl r esa 0-5 dh of¼) gks xbZ A d{kk esa fo| kfFkZ; ksa dh l a[ ; kfdruh Fkh(a) 20 (b) 60(c) 30 (d) 15

9- If (2x +3y +4) × (2x +3y-5) is equivalent to (ax² + by² + 2hxy+2gx +2fy +c) then what is the value of {(g + f -c)/ abh}?; fn (2x +3y +4) × (2x +3y-5) (ax² + by² + 2hxy +2gx +2fy +c)ds l erqY; gS rks {(g + f -c)/ abh}dk eku Kkr dhft , A

(a) 2167

(b) 21619

(c) 10819

(d) 43235

10- PQRS is a rectangle. T is a point on PQ such that RTQ is anisosceles triangle and PT = 5 QT. If the area of triangle

RTQ is 12 3 sq. cm, then the area of the rectangle PQRSis:PQRS , d vk; r gSA T, PQ i j , d , sl k fcanq gS fd RTQ , dl ef}ckgq f=kHkqt vkSj PT = 5 QT gSA ; fn f=kHkqt RTQ dk {ks=ki Qy

12 3 sq. cm gS] rks vk; r PQRS dk {ks=ki Qy fdruk gksxk \

(a) 3144 sq. cm (b) 3134 sq. cm

(c) 3142 sq. cm (d) 142 sq. cm

11- If 0 90°, and sin (2+50°) = cos(4) , then whatis the value of (in degrees)?; fn 0 90°, vkSj sin (2+50°) = cos(4), gS rks dkeku (va' k esa) Kkr dhft ,(a) 8° (b) 10°(c) 12° (d) 4°

12- The average run rate of a cricket team during the first 20overs is 4.5. What should be the asking rate per over forthe next 30 overs, if it has to chase a target of 282 runs intotal?i gys 20 vksoj ds nkSjku , d fØdsV Vhe dk vkSl r ju jsV4-5 gSA ; fn bl s eSp t hrus ds fy, dqy 282 ju cukus gksa]rksvxys 30 vksojksa ds fy, i zfr vksoj ju jsV D; k gksuh pkfg, \(a) 6.8 (b) 6.3(c) 6.0 (d) 6.4

13- A, B and C enter into a partnership with capitals in the

ratio 65:

53:

32

After 8 months, A increases his share of

capital by 25%. If at the end of the year, the total profitearned is Rs. 5820, then the share of C in the profit is.

A, B vkSj C] 65:

53:

32

vuqi kr esa i wat h dk fuos' k djds l k>snkjh

djrs gSA 8 eghusa ckn A v i uh i wat h 25% c<+k nsrk gSA ; fn o"kZds var esa] v ft Zr dqy ykHk 5820 gS rks ykHk esa C dk fgLl kfdruk gksxk\(a) Rs. 2050 (b) Rs. 2350(c) Rs. 2250 (d) Rs. 2450

14- What is the HCF of 258,

86,

54

.

258,

86,

54

dk e-l - Kkr dhft ,

(a) 2001

(b) 1001

(c) 51

(d) 501

15- A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north ofthe pole, such that PQ = b, and the angles of elevation ofthe top of the pole at P, Q are respectively. Then theheight of the pole is., d [ akHkk ml l M+d i j mèokz/ j : i l s [ kM+k gqvk gS] rksmRrj&nf{k.k fn' kk esa t krh gSA P, Q [ kaHks ds mRrj esa fLFkr nks , sl sfcanq gSA fd PQ = b vkSj P, Q l s [ kaHks ds ' kh"kZ ds mUu; u dks.kØe' k% gSA [ kaHks dh ÅapkbZ Kkr dhft , A

(a) tantanb

(b)

tantanb

(c) tantanb

(d) cot cotb

16- What is the simplified value of :

7 31

÷ 221

of 1 53

- 245

431

71

83

dks l jy djsA

(a) 2 (b)121

(c) 1 (d)241

17- If each side of an equilateral triangle is 12 cm, then itsaltitude is equal to;

Gaurav Sir

Gaurav Sir349

; fn , d l eckgq f=kHkqt dh i zR; sd Hkqt k 12 l seh- gS rks bl dhÅapkbZ fdruh gksxh \

(a) 63 cm (b) 23 cm

(c) 36 cm (d) 26 cm

Direction -: Out of the two bar graphs provided below,one shows the amounts (Rs. in lakhs) invested by acompany i purchasing raw materials over the years andthe othe shows the values (Rs. in Lakhs) of finished goodssold by the company over the years.uhps fn, x, nks ckj xzki Q esa l s] i gyk dai uh }kjk fi Nys dqyo"kksZ esa dPps eky ds Ø; i j fuos' k dh xbZ / ujkf' k ( : i ; sa yk[ kesa) i znf' kZr djrk gS vkSj nwl jk fi Nys dqN o"kksZ esa dai uh }kjk cspsx, rS; kj eky ds ewY; ksa ( : i ; sa yk[ k esa) dks i znf' kZr djrk gSA

Diagram

18- What was the difference between the average amountinvested in raw materils during 1997 to 2000 and the averagevalue of sales of finished goods during the same period1997 to 2000 ?1997 l s 2000 ds nkSjku dPps eky i j fuos' k dh xbZ vkSl r /ujkf' k vkSj 1997 l s 2000 dh bl h vof/ ds nkSjku rS; kj eky dhfcØh ds vkSl r ewY; esa varj D; k gSA(a) 76.5 lakhs (b) 77.5 lakhs

(c) 87.5 lakhs (d) 70.5 lakhs

19- (4x³y - 6x²y² + 4xy³ - y4) can be expressed as:

(4x³y - 6x²y² + 4xy³ - y4) dks fuEu : i esa O; Dr fd; k t k l drk gS(a) (x -y)4 - x4 (b) (x + y)4 -y4

(c) (x + y)4 -x4 (d) x4– (x–y)4

20- If 0 90°, and sec107 + cos107 = 2, then (sec + cos)is equal to :; fn 0 90°, vkSj sec107 + cos107 = 2, gS rks (sec +cos) dk eku Kkr dhft , A(a) 2-107 (b) 2

(c)21

(d) 1

21- I purchase 100 kg of tea and sell it for a profit to the extentof what I would have paid for 40 kg. What is my profitpercentage?eSusa 100 fdxzk- pk; [ kjhnh vkSj bl s eSaus ml ykHk i j cspk] t ksesjs n~okjk 40 fdxzk- pk; gsrq fd, x, Hkqxrku ds cjkcj gSA esjs}kjk v ft Zr ykHk i zfr ' kr Kkr dhft ,(a) 40% (b) 25%(c) 30% (d) 20%

22- A wheel has diameter 84 cm, then how far does the wheel

go (in metres) in 16 revolutions? (Take = 722

)

, d i fg, dk O; kl 84 l seh gSA 16 pDdjksa esa i fg; k fdruh nwjh

(ehVj esa) r; djrk gSA (eku yhft , = 722

)

(a) 42.24 (b) 21.12(c) 36.28 (d) 27.48

23- What is the simplified value of

231

11

24

11× 16

15÷ 3

2 of 2 ³4³3

4341

dks l jy djsA

(a) 136

(b) 135

(c) 134

(d) 138

24- The height of a right circular cone is 35 cm and the area of

Gaurav Sir

350Gaurav Sir

its curved surface is four times the area of its base. Whatis the volume of the cone ( in 10-3 m³ and correct up tothree decimal places)?, d yEc oRrh; ' kadq dh ÅaspkbZ 35 l seh gS vkSj bl dk oØ i "Bh;{ks=ki Qy bl ds vk/ kj ds {ks=ki Qy dk pkj xquk gSA ' kadq dk vk; ruD; k gS (10-3 m³ esa vkSj n' keyo ds rhu LFkkuks rd l gh)\(a) 2.994 (b) 3.316(c) 3.384 (d) 2.625

25- If the PHOTOGRAPH is spelt with 'F' in place of 'PH', thenwhat would be the percentage reduction in the number ofletter?; fn PHOTOGRAPH ' kCn esa 'PH" ds LFkku i j 'F" fy[ kk t krk]rks v {kjksa dh l a[ ; k esa fdrus i zfr ' kr dh deh gksrh\(a) 20% (b) 18%(c) 10% (d) 25%Direction (26 -27):- The given bar chart represents theaverage marks obtained in English (E) and vernacular (V)by the students of five districts (D1, D2, D3, D4, D5) in astate at the secondary level examination of a particularyear (marks secured out of a total of 100).fn; k x; k ckj i kVZ fdl h fo' ks"k o"kZ ds nkSjku ekè; fed Lrj dhi jh{kk esa , d jkT; ds i kap ft yksa (D1, D2 , D3, D4, D5) ds Nk=kks}kjk vxzst h (E) vkSj ekrHkk"kk (V) esa i zkIr fd, x, vkSl r vadks(100 esa l s i zkIr dqy vad) dks i znf' kZr djrk gSA

26- What is the average percentage of marks in English of thefive districts?i kap ft yks ds Nk=kks }kjk vaxzst h esa i zkIr fd, x, vadks dk vkSl ri zfr ' kr Kkr dhft ,(a) 75% (b) 67%(c) 68% (d) 73%

27- What is the difference between the average percentage ofmarks in vernacular of the districts (D1, D2, D4) and (D3,D5)?(D1, D2, D4) vkSj (D3, D5) ds Nk=kks }kjk ekrHkk"kk esa i zkIr fd,x, vadks ds vkSl r i zfr ' kr esa v raj Kkr dhft , A(a) 11.3% (b) 3.5%(c) 1.7% (d) 22.5%

28- A cylinder 84 cm long is made of steel. Its external and

internal diameters are 10 cm and 8 cm respectively. What isthe volume of the steel in the cylinder ( in 10-3 m³ andcorrect up to three decimal places)?84 l seh yacs , d csyu dk fuekZ.k LVhy l s fd; k x; k gSA bl dsckgjh vkSj vkarfjd O; kl Øe' k% 10 l seh vkSj 8 l seh gSA csyuesa LVhy dk vk; ru D; k gSA

(10-3m³ esa vkSj n' keyo ds rhu LFkkuksa rd l gh gS\ )(a) 2.112 (b) 4.752(c) 2.376 (d) 8.504

29- If the six-digit number 479 xyz is exactly divisible by 7,11and 13, then {(y+z)÷ x } is equal to:Ng- vadks okyh l a[ ; k 479 xyz ; fn 7]11] vkSj 13 l s i w.kZr%foHkkT; gS rks {(y+z)÷ x } dk eku cjkcj gSA

(a) 137

(b) 4

(c) 713

(d) 911

30- Thre pipes, A, B & C can fill an empty cistern in 2, 3 and 6hours respectively. Thay are opened together. After whattime should B be closed, so that the cistern gets filled inexactly 1hr 15 min?rhu i kbi A, B vkSj C , d [ kkyh t yk' k; dks Øe' k% 2]3] vkSj6 ?kaVs esa Hkj l drs gSA rhuksa i kbi ks dks , d l kFk [ kksy fn; k t krkgSA fdrus l e; ds ckn i kbi B dks can dj fn; k t kuk pkfg, ]rkfd t yk' k; Bhd 1 ?kaVs 15 feuV es Hkj t k, \(a) 30 min (b) 15 min(c) 20 min (d) 45 min

31- An article was sold for Rs. 98496 after providing thresuccessive discounts of 10%, 5% and 4% respectively onthe marked price. What was the marked price?, d oLrq ds vafdr ewY; i j Øe' k% 10%, 5% , vkSj 4% ds rhuØekxr NwV i znku djus ds ckn bl s 98]496 : i ; sa esa csp fn; kx; kA bl oLrq dk vafdr ewY; D; k Fkk \(a) Rs. 1,20,000 (b) Rs.1,10,700(c) Rs. 1,20,200 (d) Rs.1,20, 500

32- If 10 men can complete a piece of work in 12 days byworking 7 hours a day, then in how many days can 14 mendo the same work by working 6 hours a day?; fn 10 O; fDr i zfrfnu 7 ?kaVs dke djds , d dke dks 12 fnuksaesa l ekIr dj l drs gS] rks bl h dke dks 14 O; fDr i zfrfnu 6?kaVs dke djds fdrus fnuksa esa l ekIr dj l drs gS \(a) 16 (b) 10

(c) 12 (d) 15

33- 4 boys from school A and 6 boys from school B togethercan set up an exhibition in 5 days, which 5 boys fromschool A and 10 boys from school C together can do in 4

Gaurav Sir

Gaurav Sir351

days or 3 boys from school B and 4 boys from school Ctogether can do in 10 days Then how many boys fromschool A can set up the exhibition in one day?fo| ky; A ds 4 yM+ds vksj fo| ky; B ds 6 yM+ds feydj , di zn' kZuh 5 fnuksa esa yxk l drs gS] ; gh dke fo| ky; A ds 5 yM+dsvkSj fo| ky; C ds 10 yM+ds feydj 4 fnuksa esa dj l drs gSA ; kfo| ky; B ds 3 yM+ds vkSj fo| ky; C ds 4 yM+ds feydj 10fnuksa es dj l drs gSA ; gh i zn' kZuh fo| ky; A ds fdrus yM+ds , dfnu esa yxk l drs gSA(a) 40 (b) 80

(c) 60 (d) 20

34- In a ABC, angle BAC = 90°. IF BC = 25 cm, then what isthe length of the median AD?ABC esa dks.k BAC = 90° gSA ; fn BC = 25cm gS rks ADekfè; dk dh yackbZ Kkr dhft , A(a) 10 cm (b) 24 cm(c) 14.5 cm (d) 12.5 cmDirection (Q. 35 -37):- The given histogram representsthe frequency distibution of average runs scored by 50selected players from a district in a local cricket tournament.fn; k x; k vk; rfp=k , d LFkkuh; fØdsV VwukZesaV esa ft ys ds 50p; fur f[ kykfM+; ksa }kjk cuk, x, vkSl r juksa ds ckjackjrk caVu dki znf' kZr djrk gSA

35- Which class of boundaries does the frequency of '10'correspond to?'10' dh ckjackjrk ckmMjht fdl Js.kh l s l acaf/ r gS\(a) 30.5 to 40.5 (b) 40.5 to 50.5(c) 20.5 to 30.5 (d) 10.5 to 20.5

36- How many players scored more than 30.5 on average ?

fdrus f[ kykfM+; ks us vkSl ru 30-5 l s v f/ d ju cuk, gS\

(a) 34 (b) 28(c)16 (d) 12

37- What is the overall average score of the 50 players?

50 f[ kykfM+; ks dh vkSl r Ldksj Kkr dhft ,

(a) 29.3 (b) 37.1

(c) 32.6 (d) 38.5

38- 60 discs each of diameter 21 cm and thickness 31

cm are

stacked one above the other to from a right circular cylinder.

What is its volume in m³ if = 722

)\

60 fMLd ft uesa l s i zR; sd dk O; kl 21 l seh vkSj ekSVkbZ 31

l seh

gS] dks , d ds Åi j , d djds j[ kk t krk gS] ft l ds i fj.kkeLo: i

, d yEcoRrh; csyu fufeZr gksrk gSA ; fn = 722

) gS rks bl dk

vk; ru m³esa fdruk gksxk\

(a) 6.93 × 10-3 (b) 8.05 × 10-3

(c) 4.25 × 10-2 (d) 7.62 × 10-2

Direction : - The following pie- chart and table show thepercentage distribution of farmers in 5 states A, B, C, D &E of a country who claimed insurance due to drought inthe year 2017 and ratio of males to females of the numberof farmers in states, respectively.

Study the pie-chart and the table carefully and answer thefollowing questions.

Note : Some data are missing in the pie- chart and table, ifrequired in any question, find the missing data first andthen answer the question.

Total number of farmers who claimedinsurance n the year2017 = 2,64,000

fuEufyf[ kr i kbZ&pkVZ vkSj rkfydk esa ns' k ds 5 jkT; ksa A, B., C,D vkSj E l s t qM+s mu fdl kuksa dk i zfr ' kr caVu i znf' kZr fd; k x; kgS ft Ugksus o"kZ 2017 esa l w[ ks ds dkj.k chek dk nkok fd; k x; kFkk vkSj ml rkfydk esa fdl kuksa dh l a[ ; k dk è; kui woZd vè; ; udjsa vkSj fuEufyf[ kr i z' uksa ds mRrj nsA

ukSV & i kbZ&pkVZ vkSj rkfydk esa dqN vkadM+s NwVs gq, gS] ; fnfdl h i z' u esa vko' ; d gks rks i gys NwVs gqm vkadM+s <wa<s vkSj fi Qji z' u dk mRrj nsA

o"kZ 2017 esa chek dk nkok djus okys fdl kuksa dh dqy l a[ ; k =

Gaurav Sir

352Gaurav Sir

264000

24%

39- The number of farmers who claimed insurance in state Cexceeds the total number of farmers (who claimed insurance)in state E and state A together by 5280. What is thepercentage of farmers who claimed insurance in state E ?jkT; C esa chek dk nkok djus okys fdl kuksa dh l a[ ; k] jkT; EvkSj jkT; A esa fdl kuksa dh dqy l a[ ; k ( ft Ugksus chek dk nkokfd; k gS) dh l a[ ; k l s 5280 v f/ d gSA jkT; E esa chek dk nkokdjus okys fdl kuksa dk i zfr ' kr D; k gS\(a) 10% (b) 25%(c) 40% (d) 15%

40- Sundeep invested 81

of a certain sum at 5% p.a. for two

years and 53

of the sum at 6% p.a. for two years and the

remaining at 10% p.a. for two years. If the total interestreceived is Rs. 1674, then the total sum invested is:

l qnhi us , d fuf' pr / ujkf' k dk 18 Hkkx 5% okf"kZd C; kt i j 2

o"kZ ds fy, fuos' k fd; k vkSj ml h / ujkf' k dk Hkkx 6% okf"kZd C; kti j nj 2 o"kZ ds fy, fuos' k fd; k vkSj ' ks"k / ujkf' k dks 10% okf"kZdC; kt nj i j 2 o"kZ ds fy, fuos' k fd; kA ; fn i zkIr gksus okyk dqyC; kt 1674 gS] rks fuos' k dh xbZ dqy / ujkf' k fdruh gSA(a) Rs. 10500 (b) Rs. 12500(c) Rs. 12000 (d) Rs. 13000

41- Pipes A and B can fill an empty tank in 6 and 8 hours

respectivley, while pipe C can empty the full tank in 10hours. If all three pipes are opened together, then the tankwill get filled in.i kbi A vkSj B , d [ kkyh VSad dks Øe' k% 6 vkSj 8 ?kaVs esa Hkjl drs gS] t cfd i kbi C Hkjs VSad dks 10 ?kaVs esa [ kkyh dj l drkgSA ; fn rhuksa i kbi ksa dks , d l kFk [ kksy fn; k t krk gS] rks VSad fdrusl e; esa Hkj t k, xk\

(a) 4 234

hrs (b) 5 235

hrs

(c) 721

hrs (d) 6 51

hrs

42- What is the simplified value of :

22

y1x

y1x

81

22

y1x

y1x

81

dks l jy dhft ,

(a) yx

(b) yx2

(c) y2x

(d) yx4

43- A chord of the larger among two concentric circles is oflength 10 cm and it is tangent to the smaller circle. What isthe area (in cm²) of the annular portion between th twocircles?nks l adsfnzr oRrks esa l s cM+s okys oRr dh t hok dh yackbZ 10 l sehgS vkSj ; g NksVs oRr dh Li ' kZjs[ kk gSA bu nks oRrks ds chp dsoy; kdkj Hkkx dk {ks=ki Qy (cm² esa) D; k gksxk \

(a) 5 (b)2

5

(c) 25 (d) 10

44- Which is the largest six digit number, which when dividedby 12,15,20,24 and 30, leaves the remainders 8,11,16,20and 26 respectively.Ng vadks okyh og cM+h l s cM+h l a[ ; k dkSul h gSA ft l s 12, 15,20, 24 vkSj 30 l s foHkkft r djus i j ' ks"ki Qy Øe' k% 8, 11, 16, 20vkSj 26 cprk gSA(a) 999982 (b) 999956

(c) 999960 (d) 999964

45- What is (0.08% of 0.008% of 8)1/9 ?

(0.08% dk 0.008% dk 8)1/9 dk eku Kkr dhft , A

Gaurav Sir

Gaurav Sir353

(a) 0.8 (b) 0.64

(c) 0.08 (d) 0.2

46- The monthly salary of a person was Rs. 50000. He used tospend on three heads personal and family expensed (E),taxes (T), philanthropy (P) and rest were his savings. Ewas 50% of the income, T was 20% of E and P was 15% ofT. When his salary got raised by 40% he maintained thepercentage level of E, but T becme 30% of E and P became20% of T. By what percentage is the new savings more orless than the earlier savings? (correct up to one decimalplace)

, d O; fDr dk ekfl d osru 50000 : i ; sa FkkA og bl dk rhu enksai j O; ; djrk Fkk& O; fDrxr vkSj i kfjokfjd O; ; (E) dj (T)i jksi dkj (P) vkSj ' ks"k ml dh cpr gksrh FkhA E ml dh vk; dk50% FkkA T, E dk 20% Fkk vkSj P, T dk 15» FkkA t c ml ds osruesa 40» dh of¼ gqbZ rks ml us E dh i zfr ' kr esa dksbZ i fjorZu ughafd; kA ysfdu T, E dk 30% gks x; k vkSj P, T dk 20% gks x; kAmudh ubZ cpr fi Nyh cpr dh rqyuk esa fdrus i zfr ' kr v f/d ; k de gS\ (mRrj n' keyo ds , d LFkku rd l gh gksukpkfg, )

(a) 16.4% less (b) 8.2% more

(c) 8.2% less (d) 16.4% more

47- The two parallel sides of a trapezium are 27 cm and 13 cmrespectively. If the height of the trapezium is 8 cm, thenwhat is its area in m²?, d l eyEc prqHkqZt dh nks l ekaukrj Hkqt k, a Øe' k% 27 l seh vkSj13 l seh gSA ; fn l eyEc prqHkqZt dh ÅapkbZ 8 l seh gS] rks bl dk{ks=ki Qy ehVj2 esa Kkr dhft , A(a) 0.056 (b) 0.32(c) 0.016 (d) 0.032

48- (320 + 342 + 530 + 915) ÷ (20 + 22 - x + 18) = 43, then thevalue of x is:; fn (320 + 342 + 530 + 915) ÷ (20 + 22 - x + 18) = 43 gS rks x dkeku D; k gksxk \(a) 11 (b) 26(c) 23 (d) 15

49- A person has to travel a distance of 30 km. He finds that he

has covered 65

of the distance in 3 horus and 20 minutes.

What is his speed in km/h?

, d O; fDr dks 30 fdeh dh ; k=kk djuh gSA ; k=kk ds65

dh nwjh

dks ; fn ml us 3 ?kaVs vkSj 20 feuV esa r; fd; k gks] rks ml dh pkyfdeh@?kaVs esa D; k gSA(a) 6.3 (b) 6

(c) 5.4 (d) 7.550- The speed of two railway engines is the ratio 5 : 4. If they

move on parallel tracks in the same direction and if theslower engine is ahead of the faster engine by 8 km whenthe latter starts, then how far will the faster engine have totravel before it overtakes the slower one?nks jsyos bat uksa dh pky dk vuqi kr 5 % 4 gSA ; fn os , d gh fn' kkesa l ekukarj i Vfj; ksa i j pyrs gS vkSj vkjaHk esa de pky okykbat u rst pky okys bat u l s 8 fdeh- vkxs Fkk] rks rst pky okysbat u dks de pky okys bat u l s vkxs fudyus ds fy, fdruhnwjh r; nwjh djuh i M+sxh\(a) 32 (b) 48(c) 40 (d) 36


100% 360º

36014% 14100

50.4º

2. Ans:– (d)100% 500031% 1550

3. Ans:– (b)

4. Ans:– (d)

2 2 2, ,401 399 101 99 301 299

Smallest number = 401 3995. Ans:– (b)

20 20 21 21

1R 10020

5%

6. Ans:– (d)

3x 8 25x 7 3

9x + 24 = 10x + 14x = 10Numbers will be 30 : 5036 : 56 = 9 : 14

Gaurav Sir

354Gaurav Sir

7. Ans:– (a)

2 22

2 2 2

h cot h cotPQRS h cot h cot

2 2 22

2 2 2

h cot cotPQRS h cot cot

2 2 2

2 2

PQ cot cotRS cot cot

8. Ans:– (b)

No of students = 93 63

0.5

60

9. Ans:– (d)(2x + 3y + 4)(2x + 3y – 5) = (ax2 + by2 + 2h xy + 2g x + 2f y +c)4x2 + 9y2 + 12xy – 2x – 3y – 20Now comparing both the equations

a = 4, b = 9, h = 6, g = –1, f = 32

, c = – 20

31 20g f c 2 3 402abh 4 9 6 432

35432

10. Ans:– (a)

21 x 12 32

2x 24 3

Area of Rectangle = 6x2 = 2144 3cm

11. Ans:– (d)

sin 2 50 cos 4 16

2 50 4 16 90

6 24

4º12. Ans:– (d)

x = 5.64 + 0.76 = 6.4 Ans13. Ans:– (c)

23

35

56

520 44

14. Ans:– (b)

4 6 8, ,5 8 25

HCF 2HCFLCM 200

1

100

15. Ans:– (d)

Gaurav Sir

Gaurav Sir355

x x bcot , cot =h h

xhcot

x bcot cotx

cot b1cot x

b cotxcot cot

b cotcot coth

cot

bh =

cotβ - cotα

16. Ans:– (c)

1 1 3 3 1 7 57 2 of13 2 5 8 7 4 24

22 5 8 3 1 53 2 5 8 4 24

22 5 5 11 20 11 543 8 24 6 24 6 6 1

17. Ans:– (c)

3H 122

6 3

18. Ans:– (b)Avg of amount invested on Raw =

375 330 525 420 16504 4

Avg of Amount invest on finished =

500 400 600 4604

diff = 1960 1650 310

4 4

77.5 lakhs

19. Ans:– (d)4x3y – 6x2y2 + 4xy3 – y4

do factorisex4 – (x – y)4

OrAlternate MethodPut n = 0

20. Ans:– (b)107 107sec cos 2 0

sec cos 221. Ans:– (a)

40 CP = 100 SP – 100 CP140 CP = 100 SP

CP 100 P%SP 140

40%

22. Ans:– (a)Total distance covered by the wheel in 16 revolution

= 2216 84 4224cm7

42.24m

23. Ans:– (d)24. Ans:– (a)

2

4 41

rl l x

r xrh2 = 15 n2

35h x 15 35 x15

31 22 1225V 35 2994.44cm3 7 15

V = 2.994 m3

25. Ans (a)210 8

2 10010

= 20%

26. Ans:– (d)

Avg% marks in English = Total sum

5

70 60 60 85 90 365%5 5

73%

27. Ans:– (d)

80 70 75 50 55diff3 2

225 105 75 52.5 %3 2

22.5%

28. Ans:– (c)

2 2V R r h

100 64 844

229 84 9 847

= 2.376 m3

29. Ans:– (b)479xyz It will divisible by 7, 11 & 13 if 479 – xyz = 0xyz = 479

Gaurav Sir

356Gaurav Sir

x = 4, y = 7, z = 9

y z 7 9x 4

4

30. Ans:– (a)

A

B

C

2 hr

3 hr

6 hr

+3

6 +2

+1

56 44

= work remaining

B will be closed in = 1 602 30 minutes

31. Ans:– (c)

90 95 96MP 98496100 100 100

MP = 12000032. Ans:– (b)

10 M × 12 days × 7 = x × 14 × 6x = 10 Ans

33. Ans:– (a)(4A + 6B) × 5 = (5A + 10C) × 4 days(3B + 4C) × 10 days20A + 40C = 30B + 40C

A 3 .................(i)B 2

AgainT.W. = (4 × 3 + 6 × 2) × 5 = 120

120A3

40 Ans

34. Ans:– (d)

H 25AD2 2

12.5cm

35. Ans:– (c)20.5 to 30.5Means in which Boundaries frequency of 10 lies

36. Ans:– (a)Students who scored more than 30.5 are= 12 + 16 + 4 + 2 = 34

37. Ans:– (b)

Overall Avg score of the 50 players6 15.5 10 25.5 12 35.516 45.5 4 55.5 2 65.5

50

1855 .150

37 %

38. Ans:– (a)Volume = 60 × area of dise × height

322 21 21 160 6930cm7 2 2 3

6.93 × 10–3 m3

39. Ans:– (a)36% = 24% + E + 5280 E = 2640

E% = 2640 10026400

=10%

40. Ans:– (c)

1 3 112 5 6 2 10 2 % 16748 5 40

5 36 11 % 16744 5 2

(25 + 144 + 110)% = 1674 × 20100% = 12000

41. Ans:– (b)

120A B C23

55 hrs

2342. Ans:– (c)

2 21 1 1x x8 y y

1 14·x8 y

x2y

43. Ans:– (c)

Area of Annuler portion = 2 2R r 25π

Gaurav Sir

432Gaurav Sir

CGL TIER – I, 2018TEST TIME:– 10:00AM – 11:00AM

TEST DATE 04/06/20191- A circle is inscribed in a triangle ABC, It touches sides AB,

BC and AC at the points R, P and Q respectively. If AQ =4.5 cm, PC = 5.5 cm and BR = 6 cm, then the perimeter ofthe ABC is:fdl h f=kHkqt ABC ds vanj , d oRr cuk; k x; k gSA ; g AB, BCvkSj AC Hkqt kvksa dks Øe' k% R, P vkSj Q fcanqvksa i j Li ' kZ djrkgSA vxj AQ = 4.5 l seh] PC = 5-5 l seh vkSj BR = 6 l seh gS] rks

ABC dh i fjeki gS%(a) 30.5 cm (b) 28 cm(c) 32 cm (d) 26.5 cm

2- The table shows the production of differents types of cars(in thousands).rkfydk fofHkUu i zdkj dh dkjksa ds mRi knu dks (gt kjksa esa)n' kkZ; k x; k gSA

YearsCars

2012 2013 2014 2015 2016

ABCDE

3042485120 42

24364835 48 45 56

40 38 5638 35 4430 46 5440 35 43

If the data related to the production of cars of type E isrepresented by a pie chart, then the central angle of thesector representing the data of production of cars in 2013will be:

; fn E i zdkj dh dkjksa ds mRi knu l s l acaf/ r vakdM+ksa dks i kbZ&pkVZds n~okjk n' kkZ; k t krk gS rks 2013 esa dkjksa ds mRi knu dks n' kkZusokys vkdM+sa dk f=kT; [ kaM ( l sDVj) dk dsanzh; dks.k gksxk%(a) 102º (b) 84º

(c) 70º (d) 80º

3- A truck covers a distance of 384 km at a certain speed, Ifthe speed is decreased by 16 km/h, It will take 2 hoursmore to cover the same distance. 75% of its original speed

(in km/h) is :

, d Vªd fdl h fuf' pr xfr l s 384 fdeh dh nwjh r; djrk gSA; fn xfr dks 16 fdeh@?kaVs de fd; k t krk gS rks ml h nwjh dks r;djus esa nks ?kaVs v f/ d yxsaxsA ewy xfr ( fdeh esa) dk 75»fdruk gS\(a) 45 (b) 54

(c) 48 (d) 42

4- The ratio of the ages of A and B, four years ago, was 4 : 5.Eight years from now, the ratio of the ages of A and B willbe 11 : 13. What is the sum of their present ages?

pkj o"kZ i woZ A vkSj B dh vk; q dk vuqi kr 4 : 5 FkkA vc l s vkBo"kZ ckn A vkSj B dh vk; q dk vuqi kr 11 : 13 gksxkA mu nksuksa dhorZeku vk; q dk dqy ; ksx D; k gS\(a) 80 years (b) 96 years

(c) 72 years (d) 76 years

5- In triangle ABC, F and E are the points on the sides ABand AC respectively such that FE BC and FE divides thetriangle in two parts of equal area. If AD BC and ADintersects FE at G, then GD : AG = ?

f=kHkqt ABC esa] AB vkSj AC Hkqt kvksa i j nks fcanq Øe' k% F vkSjE bl i zdkj gSa fd FE BC rFkk FE f=kHkqt dks l eku {ks=ki Qyokys nks Hkkxksa esa foHkkft r djrh gSaA ; fn AD BC vkSj AD, fcanqG i j FE dks dkVrh gS rks GD : AG = ?

(a) 2 :1 (a) 2 1 :1

(c) 2 2 :1 (d) 2 1 :1

6- If 4 – 2 sin2 – 5 cos = 0,0º < < 90º, then the value ofsin + tan is:

vxj 4 – 2 sin2 – 5 cos = 0,0º < < 90º gS] rks sin + tan dk eku gS%

(a)3 2

2(b)

3 32

(c) 3 2 (d) 2 3

7- The table shows the production of differents types of cars(in thousands).

rkfydk fofHkUu i zdkj dh dkjksa ds mRi knu dks (gt kjksa esa)n' kkZ; k x; k gSA

CGL TIER – I, 2018

Gaurav Sir

Gaurav Sir433

YearsCars

2012 2013 2014 2015 2016

ABCDE

3042485120 42

24364835 48 45 56

40 38 5638 35 4430 46 5440 35 43

What is the ratio of the total production of cars of type Ain 2014 and type C in 2013 take together to the totalproduction of cars of type B in 2016 and type E in 2015taken together?

o"kZ 2014 esa A vkSj 2013 esa C i zdkj dh dkjksa ds dqy mRi knurFkk o"kZ 2016 esa B vkSj 2015 esa E i zdkj dh dkjksa ds dqymRi knu dk vuqi kr D; k gS\

(a) 12 : 13 (b) 11 : 13

(c) 10 : 11 (d) 12 : 11

8- If decreasing 120 by x% gives the same result as increasing40 by x%, then x% of 210 is what percent less than (x +20)% of 180?

; fn 120 dks x% de fd; k t k, rks ogh i fj.kke i zkIr gksxk t ks40 dks x% c<+kus i j i zkIr gksrk gSA rc 210 dk x% 180 ds (x+ 20) % l s fdrus i zfr ' kr de gksxk\

(a)1333 (b) 18

(c)2163 (d) 20

9- If 3 35 5x 81 3y 5x 3 3y 2 2Ax By Cxy then the

value of 6A B 15C is:

v xj 3 35 5x 81 3y 5x 3 3y 2 2Ax By Cxy gS] r ks

6A B 15C dk eku D; k gSa\

(a) 10 (b) 9

(c) 15 (d) 12

10- If a nine-digit number 985x3678y is divisible by 72, thenthe value of (4x – 3y) is:

vxj ukS vadksa dh l a[ ; k 985x3678y l a[ ; k 72 l s foHkkT; gS] rks(4x – 3y) dk eku gS%

(a) 5 (b) 4

(c) 6 (d) 3

11- If 2

2

p 1sin ,p 1

then cos is equal to:

vxj 2

2

p 1sin ,p 1

gS] rks cos cjkcj gS%

(a) 22p

1 p (b) 2

pp 1

(c) 2

p1 p (d) 2

2pp 1

12- The ratio of the efficiencies of A, B and C is 2 : 5 : 3.Working together, they can complete a work in 27 days, B

and C together can complete 49 th part of that work in:

A, B vkSj C dh n{krkvksa dk vuqi kr 2 : 5 : 3 gSA , d l kFk dkedjus i j os rhuksa ml s 27 fnuksa esa i wjk dj l drs gSaA B vkSj C nksuksa

feydj ml dke ds 49 osa fgLl s dks fdrus fnuksa esa i wjk djsaxs\

(a) 27 days (b) 15 days

(c) 1717 days (d) 24 days

13- The average of twelve numbers is 42. The average of thelast five numbers is 40, and that of the last four number is44. The 6th number is 6 less than the fifith and 5 less thanthe 7th number. The average of the 5th and the 7th numbersis:

ckjg l a[ ; kvksa dk vkSl r 42 gSA vafre i kap l a[ ; kvksa dk vkSl r40 gS vkSj vafre pkj l a[ ; kvksa dk vkSl r 44 gSA NBh l a[ ; k]i kapoh l a[ ; k l s 6 de gS vkSj l kroh l a[ ; k l s 5 de gSA 5 ohavkSj 7 oha l a[ ; kvksa dk vkSl r D; k gksxk\

(a) 44 (b) 44.5

(c) 43 (d) 43.5

14- If x + y + z = 19, x2 + y2 + z2 = 133 and xz = y2, then thedifference between z and x is:

; fn x + y + z = 19, x2 + y2 + z2 = 133 vkSj xz = y2 gS] rks z vkSjx ds chp varj gS%

(a) 5 (b) 3

(c) 6 (d) 4

15- is equal to :

2 22 tan cotsec cosec

cjkcj gS%

(a) cot (b) cos sin

(c) sec cosec (d) tan

Gaurav Sir

434Gaurav Sir

16- In a circle of radius 10 cm, with centre O, PQ and PR aretwo chords each of length 12 cm, PO intersects chord QRat the points S. The length of OS is:

O dsanz okys , d oRr dh f=kT; k 10 l seh gS] PQ rFkk PR i zR; sd12 l seh dh t hok, ¡ gSA PO, QR t hok dks fcanq S i j dkVrh gSAOS dh yackbZ D; k gS\

(a) 2.8 cm (b) 2.5 cm

(c) 3.2 cm (d) 3 cm

17- A sum amounts to 8,028 Rs. in 3 years and to 12,042 Rs. in6 years at a certain rate percent per annum, when the interestis compounded yearly. The sum is:

dksbZ jkf' k , d fuf' pr i zfr ' kr C; kt nj i j 3 o"kksZa esa 8]028 #i ,vkSj 6 o"kksZa esa 12]042 #i , gks t krh gS] t c C; kt okf"kZd l a; ksft rgSA jkf' k gS\

(a) 5,352 Rs. (b) 5,235 Rs.

(c) 5,325 Rs. (d) 5,253 Rs.

18- The value of 2 × 3 ÷ 2 of 3 × 2 ÷ (4 + 4 × 4 ÷ 4 of 4 – 4 ÷ 4 ×4) is:

2 × 3 ÷ 2 dk 3 × 2 ÷ (4 + 4 × 4 ÷ 4 dk4 – 4 ÷ 4 × 4) dk eku gS

(a) 8 (b) 1

(c) 4 (d) 2

19- After giving two successive discounts, each of x%, on themarked price of an article, total discount is 259.20 Rs. If themarked price of the article is 720 Rs. then the value of x is:

fdl h oLrq ds vafdr ewY; i j Øfed nks NwV] i zR; sd x% nsus dsckn dqy NwV 259-20 #i , gSA ; fn oLrq dk vafdr ewY; 720 #i ,gS] rks x dk eku D; k gksxk\

(a) 18 (b) 24

(c) 20 (d) 25

20- A soild cube of volume 13824 cm3 is cut into 8 cubes ofequal volumes. The ratio of the surface area of the originalcube to the sum of the surface areas of three of the smallercubes is:

13824 l seh3 vk; ru okys , d Bksl ?ku dks l eku vk; ru okysvkB ?kuksa esa dkVk t krk gSA ewy ?ku ds i "Bh; {ks=ki Qy rFkk rhuNksVs ?kuksa ds i "Bh; {ks=ki Qy ds dqy ; ksx dk vuqi kr gksxk%

(a) 2 : 3 (b) 4 : 3

(c) 8 : 3 (d) 2 : 1



YearsCars

2012 2013 2014 2015 2016

ABCDE

3042485120 42

24364835 48 45 56

40 38 5638 35 4430 46 5440 35 43

The total production of type B cars in 2012, 2014 and 2015taken together is approximately what percent more thanthe total production of type A cars in 2013 and 2016 takestogether?

o"kZ 2013 vkSj 2016 esa A i zdkj dh dkjksa ds dqy mRi knu dhrqyuk esa o"kZ 2012] 2014 vkSj 2015 esa B i zdkj dh dkjksa dk dqymRi knu yxHkx fdrus i zfr ' kr v f/ d jgk gS\

(a) 31.9 (b) 33.2

(c) 36.3 (d) 34.3



YearsCars

2012 2013 2014 2015 2016

ABCDE

3042485120 42

24364835 48 45 56

40 38 5638 35 4430 46 5440 35 43

The number of years, in which the prodution of cars oftype B is less than the average production of type D carsover the years, is:o"kksZa dh l a[ ; k] ft uesa B i zdkj dh dkjksa dk mRi knu] l Hkh o"kksZaesa gq, ] D i zdkj dh dkjksa ds vkSl r mRi knu l s de gS] fuEu gS%(a) 4 (b) 1(c) 3 (d) 2

23- A person sold an article at a loss of 15% Had he sold it for30.60 Rs. more, he would have gained 9% . To gain 10% ,he should have sold it for:fdl h O; fDr us , d oLrq dks 15» dh gkfu i j cspk gksrk vxjog ml s 30-60 v f/ d i j csprk rks ml s 9» dk ykHk i zkIr gksrkrks 10» ykHk i zkIr djus ds fy, ] ml s ml oLrq dks fdrus esa cspukpkfg, Fkk\(a) 140.25 Rs. (b) 132 Rs.(c) 130 Rs. (d) 128.40 Rs.

Gaurav Sir

Gaurav Sir435

24- In a ABC, the bisectors of B and C meet at point Oinside the triangle. If BOC = 122º , then the measure ofA is ABC esa] B vkSj C ds l en~foHkkt d] f=kHkqt ds vanj fcanqO i j feyrs gSaA vxj BOC = 122º gS] rks A dk eki D; kgksxk\(a) 64º (b) 62º(c) 72º (d) 68º

25- If x4 + x– 4 = 194, x > 0, then the value of (x – 2)2 is:

vxj x4 + x– 4 = 194, x > 0, gS] rks (x – 2)2 dk eku D; k gksxk\

(a) 1 (b) 6(c) 2 (d) 3

SOLUTION1. Ans:– (c)

Tangents from same external point are equal

A

B 6 P 5.5 C

4.54.5

QR

5.56

So. AR = AQ = 4.5BP = BR = 6CP = CQ = 5.5permeter = 2(4.5 + 6 + 5.5) = 32cm

2. Ans:– (b)Production of E = 180Given 180 = 360º

Then angle by E in 2013 = 42 360 84

180

3. Ans:– (c)

Speed Time16 232 4

S = 48 6 = T2 1

S = 64 8 = T1 2

1375% of S = 644

48km / h

4. Ans:– (a)(+ 8 years after) 11 : 13

(– 4 years ago) 4 : 5

5. Ans:– (b)ar AFE = ar FECB

arAFE 1arABC 2

Ratio of areas of similar Triangle is square of sides

AG 1 1 GD 2 1AD 2 2

GD : AG ( 2 –1) :1

A

B D C

EGF

6. Ans:– (b)Put = 60° D; ksafd ; gk¡ = 45° ; k 30° yus i j cos rootSatisfied given equation esa vkrk gSA

So, sin60° + tan60° = 3 3 33 Ans.

2 2

7. Ans:– (a)

48 36 84 12 :1356 35 91

8. Ans:– (c)

100 – x 100 x120 40100 100

x 50%4x 200

x% of 210 = 105(x + 20)% of 180 =

Gaurav Sir

436Gaurav Sir

70180 180 126100

21 1 1 2less 100 16 %126 6 6 3

9. Ans:– (d)

2 25x – 3 3y 5x 3 3y 3 15xy

5x – 3 3y

Using identity a3 – b3 = (a–b) (a2 + b2 + ab)

5x2 + 27y2 + 3 15xy = Ax2 + By2 + Cxy

Conparing: A = 5, B = 27, C =3 15

6 5 27 – 15 3 15 57 – 45 12 Ans.

10. Ans:– (b) 72 = 8 × 9 last 3 – digits 8 l s divisible gksus pkfg, A

78y 72 6y8 8

, y = 4

Sum of No. 9 l s divisible gksuk pkfg,985x36784 = 5 + x So x = 44x – 3y = 16 – 12 = 4 Ans.

11. Ans:– (a)

Using Pythagoras B = 2P so BcosH

p –12 p +12

2p

22P

P 1

12. Ans:– (b)Total work = (2 + 5 + 3) × 27 = 270

B + C time270 4 15 days Ans.

8 9

13. Ans:– (b)

4 3 544

= +8 +2 – 2

=

40

– 10

+2×4 – 2 × 52 1283 3

= 42

5th 6th 7th

x+6 x x+5Sum of average of 5th, 6th and 7th = 42 × 3 = 126Effective sum = 126 + 2 = 128

128Sum 3 1283

3x + 11 = 128x = 39

Avg. of 5th & 7th 2x 112

= x + 55 = 44.514. Ans:– (a)

y , sl k No gS ft l dk square x & z dk multiple gS let's assumey = 6 such that x = 4, z = 9So. x + y + z = 4 + 6 + 9 = 19 & 42 + 62 + 92 = 133So. z – x = 9 – 4 = 5

15. Ans:– (c)

2

2

2

sin cos(tan cot ) cos sinsec cosec sec cosec

1(cos sin ) sec cosecsec cosec

Or t c l kjh Trigonometrie ratio , d l kFk vk t k, a rks put =45°

2 1 1 y 222 2

Option C 2 2 2

16. Ans:– (a)ar POR (using heron's formula)Or Isosceles

P

Q

O

12

10

s10

R

12

2 2bA 4a – b4

Gaurav Sir

Gaurav Sir437

2 2

10 10 12S 162

A 16 6 6 4 481 10 SR 48 SR 9.62

PS (12) – (9.6) 144 – 92.16 51.84 7.2

OS = 10 – 7.2 = 2.8cm Ans.17. Ans:– (a)

Same time gap esa CI dh amount ratio same gksrh gSA

3y 3y

P 8028

2 : 3×2676 ×2676

80285352 Ans.

120422 : 3

18. Ans:– (d)

3 162 2 4 –1 4 1 2 1 2 Ams.6 16

19. Ans:– (c)

Successive discount = a + b – a b100

259.20D% 100 36%720

So. d% 20%Ans.20 2020 20 – 36%

100

20. Ans:– (b)

3

3

A 13824 24cm

13824 24a 12cm8 2

6A2 : 3 × 6a2

24 × 24 : 3 × 12 × 124 : 3 Ans.

21. Ans:– (a)22. Ans:– (d)23. Ans:– (a)

9 – (–15) = 24% 30.60 Rs1% 1.275 Rs

(100 + 10) = 110% 140.25 Rs Ans.24. Ans:– (a)

O is In-centre of ABC.

A

r

B122

O

C

BOC = 90 + x2

= 122°

x = 64° Ans.25. Ans:– (d)

4 24 2

1 1x 194 x 194 2x x

114 x 14 2 4x

x2 + 1 = 4x x2 – 4x + 4 = 3 (x – 2)2 = 3 Ans.

CGL TIER – I, 2018TEST TIME:– 1:00PM – 2:00PM

TEST DATE 04/06/20191- If a Eight-digit number 789x531y is divisible by 72, then

the value of (5x – 3y) is:

vxj vkB vadksa dh l a[ ; k 789x531y l a[ ; k 72 l s foHkkT; gS] rks(5x – 3y) dk eku gS%(a) 0 (b) – 1

(c) 2 (d) 1

2- The income of Raju is 20% more than his expenditure. Ifhis income increases by 60% and his expenditure increasesby 70% then by what percent does his saving increase/decrease?

jkt w dh vk; ml ds O; ; l s 20» v f/ d gSA ; fn ml dh vk; esa60» vkSj ml ds O; ; esa 70» dh of¼ gksrh gS] rks ml dh cprfdrus i zfr ' kr c<+sxh@de gksxh\(a) It decreases by 10% (b) It decreases by 2%

(c) It increases by 10% (d) It increases by 2%

3- A triangl ABC is inscribed in a circle with centre O. AO isproduced to meet the circle at K and AD BC. If B = 80ºand C = 64º, then the measure of DAK is:, d f=kHkqt ABC ds ckgj , d oRr] ft l dk dsanz O gS cuk; k x; k

Gaurav Sir

438Gaurav Sir

gSA AO dks c<+kus i j og oRr dks K i j feyrk gS vkSj AD BCgSA ; fn B = 80º vkSj C = 64º gS] rks DAK dh eki gS%(a) 10º (b) 16º

(c) 12º (d) 20º

4- If 2cos 2p / (1 p ) ,then tan is equal to:

vxj 2cos 2p / (1 p ) gS] rks tan cjkcj gS%

(a) 2

p1 p (b) 2

2p1 p

(c)2

2

1 p1 p (d)

21 p2p

5- The table shows the production of different types of cars(in thousands).


YearsCars

2013 2014 2015 2016 2017

ABCDE

3539525036 46

42254540 48 50 36

54 60 7232 54 4545 46 4742 48 55

If the data regarding the production of cars of type B isrepresented by a pie-chart, then the angle of the sectorrepresenting the production of cars in 2016 will be:

; fn B i zdkj dh dkjksa ds mRi knu l s l acaf/ r vkadM+ksa dks oRrvkjs[ k ( i kbZ pkVZ) ds n~okjk n' kkZ; k t krk gS rks 2016 esa dkjksa dsmRi knu dks n' kkZus okys vkadM+s dk f=kT; [ kaM ( l sDVj) dk dsanzh;dks.k gksxk%(a) 80º (b) 96º

(c) 60º (d) 72º

+6- The table shows the production of different types of cars(in thousands).


YearsCars

2013 2014 2015 2016 2017

ABCDE

3539525036 46

42254540 48 50 36

54 60 7232 54 4545 46 4742 48 55

The total produciton of cars of type B in 2013, 2014, 2015

and 2017 taken together is what percent less than the totalproduction of all types of cars in 2017? (Correct to onedecimal place)

o"kZ 2013] 2014] 2015 vkSj 2017 esa B i zdkj dh dkjksa dk dqymRi knu] o"kZ 2017 esa l Hkh i zdkj dh dkjksa ds dqy mRi knu l sfdrus i zfr ' kr de gS\ (n' keyo ds , d LFkku rd l gh)(a) 18.2 (b) 18.4

(c) 15.8 (d) 17.6

7- If 0º < < 90º and cos2 = 3(cot2 – cos2 ) then the value

of 11 sec sin

2

is:

vxj 0º < < 90º vkSj cos2 = 3(cot2 – cos2 ) gS] rks11 sec sin

2

dk eku gS%

(a) 3 2 (b) 2 2 3

(c) 2 3 1 (d) 3 1

8- If 16x2 + 9y2 + 4z2 = 24 (x – y + z) – 61, then the value of (xy+ 2z) is:

; fn 16x2 + 9y2 + 4z2 = 24 (x – y + z) – 61 gS] rks (xy + 2z) dkeku gksxk%(a) 1 (b) 2

(c) 3 (d) 5

9- If x + y + z = 19, xy + yz + zx = 114, then the value of3 3 3x y z 3xyz is:

; fn x + y + z = 19, xy + yz + zx = 114, gS] r ks3 3 3x y z 3xyz dk eku gksxk%

(a) 21 (b) 17

(c) 19 (d) 13

10- In triangle ABC, AD BC and BE AC, AD and BEintersect each other at F. If BF = AC, then the measure of ABC is:

ABC esa AD BC vkSj BE AC gS AD vkSj BE , d&nwl jsdks F i j dkVrs gSA ; fn BF = AC gS] rks ABC dh eki D; kgksxh\(a) 45º (b) 60º

(c) 70º (d) 50º

11- Two circles of radii 10 cm and 8 cm intersect at the pointsP and Q. If PQ = 12 cm, and the distance between thecentres of the circles is x cm. The value of x (correct to onedecimal place) is:

Gaurav Sir

Gaurav Sir439

10 l seh vkSj 8 l seh f=kT; k okys nks oRr] P vkSj Q fcanqvksa i j, d&nwl js dks dkVrs gSaA PQ = 12 l seh gS vksj oÙk ds dsanzksa ds chpx l seh dh nwjh gS] rks x dk eku gSa (n' keyo ds , d LFkku rdl gh)%(a) 13.9 (b) 14.8

(c) 13.3 (d) 12.8

12- is equal to:

23

3

sin 2 sin1, 45º ,

2 cos cos

cjkcj gS%

(a) cosec2 (b) sec2

(c) cot2 (d) 2tan2



YearsCars

2013 2014 2015 2016 2017

ABCDE

3539525036 46

42254540 48 50 36

54 60 7232 54 4545 46 4742 48 55

the ratio of the total production of cars of type C and Etaken together in 2013 to the total production of cars oftype D in 2014 and 2016 and type E in 2017 taken togetheris:

o"kZ 2013 esa C vkSj E i zdkj dh dkjksa ds dqy mRi knu rFkk o"kZ2014 vkSj 2016 esa D rFkk 2017 esa E i zdkj dh dkjksa ds dqymRi knu dk vuqi kr D; k gS\

(a) 8 : 13 (b) 5 : 8

(c) 13 : 32 (d) 8 : 11

14- If [8(x + y)3 – 27 (x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, thenthe value of (A + B + C) is:

vxj [8(x + y)3 – 27 (x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2,gS]rks (A + B + C) dk eku gS%(a) 26 (b) 19

(c) 16 (d) 13

15- A takes 30 minutes more than B to cover a distance of 15km at a certain speed, But if A doubles his speed, he takesone hour less than B to cover the same distance. What isthe speed (in Km/h) of B?

fdl h fuf' pr xfr l s A, 15 fdeh dh nwjh r; djus esa B dh rqyukesa dks 30 feuV T; knk l e; yxrk gSA fdarq] ; fn A v i uh xfr dksnksxquk dj ns rks og ml h nwjh dks B dh rqyuk esa , d ?kaVk de l e;esa r; dj ysrk gSA B dh xfr (fdeh esa) D; k gS\(a) 6 (b) 5

(c) 612 (d)

152

16- The value of 5 ÷ 5 of 5 × 2 + 2 ÷ 2 of 2 × 5 – (5 – 2) ÷ 6 × 2 is:

5 ÷ 5 dk 5 × 2 + 2 ÷ 2 dk 2 × 5 – (5 – 2) ÷ 6 × 2 dk eku gS

(a)95 (b)

1910

(c) 19 (d)232

17- If x is subtracted from each of 23, 39, 32 and 56 the numberso obtained, in this oreder, are in proportion. What is themean proportional between (x + 4) and (3x + 1)?

; fn 23] 39] 32 vkSj 56 esa l s] i zR; sd l s x dks ?kVk; k t krk gS rksbl Øe esa i zkIr l a[ ; k, ¡ l ekuqi kr esa gSA (x + 4) vkSj (3x + 1)ds chp eè; kuqi krh D; k gksxk\

(a) 15 (b) 10

(c) 12 (d) 14

18- The marked price of an article is 315 Rs. It is sold for 288Rs. If there is a loss of 4% then by what percent above thecost is the article marked?

fdl h oLrq dk vafdr ewY; 315 #i , gSA ml s 288 #i , esa cspkt krk gSA ; fn bl l s 4» gkfu gksrh gS] rks oLrq dks ykxr l s fdrusi zfr ' kr v f/ d vafdr fd; k x; k Fkk\

(a) 5 (b) 8

(c)162 (d)

152

19- The ratio of the efficiencies of A, B and C is 4 : 5 : 3.Working together, they can complete that work in 25 days.A and C together will complete 35% of that work in:

A, B vkSj C dh n{krkvksa dk vuqi kr 4 : 5 : 3 gSA , d l kFk dkedjus i j os rhuksa ml dke dks 25 fnuksa esa i wjk dj l drs gSaA AvkSj C nksuksa feydj 35% dke dks fdrus fnuksa esa i wjk djsaxs\

(a) 12 days (b) 10 days

(c) 18 days (d) 15 days

20- The compound interest on a certain sum in 122 years at

10% p.a., interest compound yearly, is 1,623. The sum is:

10» i zfr o"kZ dh pØof¼ C; kt nj l s fdl h fuf' pr jkf' k i j

Gaurav Sir

440Gaurav Sir

122 o"kksZa esa C; kt 1]623 #i , gS] t c C; kt okf"kZd l a; ksft r gSA

jkf' k D; k gS\(a) 5,000 (b) 6,000

(c) 6,500 (d) 7,200

21- ABC is similar to DEF. The area of ABC is 100 cm2

and the area of DEF is 49 cm2. If the altitude of ABC= 5 cm, then the corresponding altitude of DEF is:

ABC, DEF ds l e: i gSA ABC dk {ks=ki Qy 100 cm2 gSvkSj DEF dk {ks=ki Qy 49 cm2 gSA ; fn ABC dk ' kh"kZyac 5l seh gS] rks DEF dk l axr ' kh"kZyac gksxk%(a) 7 cm (b) 4.5 cm

(c) 6 cm (d) 3.5 cm

22- Renu bought an article for 1,240 Rs. and sold it at a loss of25% . With this amount, she bought another article andsold it at a gain of 40%. Her overall percentage profit is:

jsuw us , d oLrq 1]240 #i , esa [ kjhnh vkSj ml s 25» ?kkVs i j cspfn; kA ml jkf' k l s ml us , d vkSj oLrq [ kjhnh vkSj ml s 40» ykHki j csp fn; kA jsuw dks] dqy feykdj] fdrus i zfr ' kr ykHk gqvk\

(a) 12 (b)263

(c) 5 (d) 15

23- How much iron sheet (in m2) will be needed to construct arectangular tank measuring 10m × 8 m × 6m, if a circularopening of radius one metre is to be left at the top of thetank? (correct to one decimal place)

, d 10m × 8 m × 6m eki okys vk; rkdkj VSad ft l ds Åi j , dehVj ds f=kT; k dk oRrkdkj Nsn gks] , sl s VSad dks cukus ds fy,yksgs dh fdruh pknj (eh2 esa) dh vko' ; drk gksxh\ (n' keyods , d LFkku rd)(a) 371.6 (b) 370.4

(c) 372.9 (d) 370.8



YearsCars

2013 2014 2015 2016 2017

ABCDE

3539525036 46

42254540 48 50 36

54 60 7232 54 4545 46 4742 48 55

The production of cars of type A in 2015 and of type C in2013 taken together is approximately what percent of thetotal production of cars of type D in five years?

o"kZ 2015 esa A i zdkj vkSj 2013 esa C i zdkj dh dkjksa dk dqymRi knu] i kap o"kksZa esa D i zdkj dh dkjksa ds dqy mRi knu dkyxHkx fdrus i zfr ' kr gS\(a) 40.2 (b) 42.4

(c) 43.5 (d) 42.8

25- The average weight of a certain number of students in aclass is 68.5 kg. If 4 new students having weights 72.2 kg,70.8 kg, 70.3 kg and 66.7 kg join the class, then the averageweight of all the students increases by 300g. The numberof students in the class, inigially, is:

, d d{kk esa dqN fon~; kfFkZ; ksa dk vkSl r Hkkj 68-5 fdyksxzke gSA; fn 72-2 fdyksxzke] 70-8 fdyksxzke] 70-3 fdxzk vkSj 66-7fdyksxzke Hkkj okys pkj u, fon~; kFkhZ d{kk esa nkf[ kyk ysrs gSa rksl Hkh fon~; kfFkZ; ksa dk vkSl r Hkkj 300 xzke c<+ t krk gSA ' kq: esa]d{kk esa fdrus fon~; kFkhZ Fks\(a) 21 (b) 16(c) 11 (d) 26


72 8 9

last 3 digit must be divisible by 8

31y y 28

=789x5312 8 x x 1

9 9

5x – 3y= 5 × 1 – 3 × 2= 5 – 6= – 1 Ans.

2. Ans:– (c)

120%5

I = E + S 600 = 500 + 100

+60% +70% +10%+10%

960 = 850 + 110

3. Ans:– (b)

Gaurav Sir

Gaurav Sir441

A

B C6480

80°

r 10

26°

10

O

K

D

AKC = ABC = 80° (By same chord AC)

In ABD,

BAD = 180 – (90 + 80) = 10°

In ADC,

CAD = 180 – (90 + 64) = 26°

In AKC,

ACK = 90° (Angle in semicircle 90°) and O is centre

CAK = 180 – (90 + 80) = 10°x = 26 – 10 = 16° Ans.

4. Ans:– (d)(Triplet)

1–p2 1+p2

2p

2P 1– ptan Ans.B 2p

5. Ans:– (a)+6. Ans:– (d)7. Ans:– (b)

2 24cos 3cot

2 3 3sin sin 60º4 2

Put in given equation:

2 2 3 2 2 32 3 2 3

8. Ans:– (d)(4x)2 – 2 × 4x × 3 + 32 + (3x)2 + 2 × 3y × 4 + 4 + (2z)2 – 2 × 2z× 6 + 62

(4x–3)2 + (3y+4)2 + (2z–6)2 = 0

3 –4 6x , y ,z 3 xy 2z4 3 2

3 –4 2 3 5Ans.4 3

9. Ans:– (c)x3 + y3 + z3 – 3xyz = (x + y + z) [(x + y + z)2 – 3 (xy + yz + zx)]= 19 (361 – 342)= 19 × 19

3 3 3x y 2 – 3xyz 19Ans.

10. Ans:– (a)

A

B D

F

90–

90–

C

E

Let AFE = CAD = 90 –

If ADC, C =

BDFADC

BF BD BF ACAC AD

AD = BD DBA = DAB = 45° Ans.Or In ABD

AD ADtanB 1BD AD

B = 45° [tan 45° = 1]11. Ans:– (c)

10

A

10

0

6

6

8

P

Q

B

8

PO = OQ = b ( Bisects the chard)

AO = 8cm (10, 6, 8 dh Triplet)

2 2OB 8 – 6 28 2 7 5.3

AB = 8 + 5.3 = 13.3 Ans.

Gaurav Sir

442Gaurav Sir

12. Ans:– (b)

2 222 2

2sin (1– 2sin ) sin .cos 21 1 tan 1 sec

cos .cos 2cos (2cos –1)

13. Ans:– (a)14. Ans:– (c)

3 32 2a – b a b ab

a – b

3 32 x y 3 x y

5y x

[a2 + b2 + ab] 19x2 + 7y2 – 10xy= Ax2 + Cy2 + BxyOn comparingA = 4 + 9 + 6 = 19, B = – 10, C = 4 + 9 – 6 = 7A + B + C = 16 Ans.

15. Ans:– (a)Old New

⇒ → A Speed 1 : 2→

Time 2 : 1→

1 1.5hr (30min + 1hr)→A Time = 2 3hr→

B time13 –2

= 2.5hr, B speed =152.5 = 6km./h

16. Ans:– (b)

5 2 3 2 5 29 192 5 – 2 –1 –1 Ans.25 4 6 5 2 10 10

17. Ans:– (c)

23 – x 32 – x39 – x 56 – x

x 5

mean mopoction b/w 9 & 16

9 16 12Ans.

18. Ans:– (a)

SP 964% lessCP 100

×3×3 288

300MP315

+5%

19. Ans:– (d) Total Work = (4 + 5 + 3) × 25 = 300

300 35A C 15 days Ans.7 100

20. Ans:– (b)

aba b100

⇒ Rate = 10, 10, 521 21 + 5 + 1.05 = 27.05% 1623→

100% 6000 Ans. →

21. Ans:– (d)

Alt.(ABC) 100 10Alt(DEF) 49 7

5cm3.5cm Ans.

22. Ans:– (c)

aba b100

25 4025 40 5%100

3 7 21 105 5% gain4 5 20 100

3 SP25% loss4 CP7 SP40% gain5 CP

23. Ans:– (c)

Iron sheet exp. = 2 (lb + bh + hl) – r2

= 2 (80 + 48 + 60) – 3.14 × 1 × 1= 376 – 3.14 = 372.9m2 (approx)

24. Ans:– (c)25. Ans:– (b)

Avg. of 4 new students 280 70kg4

Initial New68.5 70

300g increase 68.8

1.2 : 0.3 4 : 1

Ans. 16 4

529 Gaurav Sir

Gaurav SirCGL MAINS 2018


1- The value of 7 8 8 8 of 8 8 8 4 of 44 4 of 4 4 4 4 4 4 of 2 is:

7 8 8 8 of 8 8 8 4 of 44 4 of 4 4 4 4 4 4 of 2 dk eku Kkr djsaA

(a) 7.8 (b) 4.6

(c) 8.7 (d) 6.4

2- The bar graph shows the exports of Cars of Type A and B(in Rs. millions).

fn, x, naM vkjs[ k esa Vkbi A vkSj B dkjksa ds fu; kZr dks n' kkZ; kx; k gSa ( : fefy; e esa)In which year, the exports of cars of type A was 10% morethan the average exports (per year) of cars of type A overthe five years?

i k¡p o"kks± ds nkSjku Vkbi A dk; ksZa dk fu; kZr fdl o"kZ esa vkSl rfu; kZr ( i zfr o"kZ) l s 10» v f/ d FkkA

(a) 2015 (b) 2017

(c) 2014 (d) 2016

3- If sin 3 cos , 0º < 90º , then the value of2 22sin sec sin sec cosec is:

; fn sin 3 cos , 0º < 90º gSa] rc 2 22sin sec

sin sec cos ec dk eku D; k gksxkA

(a)33 10 3

6

(b)19 10 3

6

(c)33 10 3

3

(d)19 10 3

3

4- To do a certain work, the ratio of efficiency of A to that ofB is 3 : 7. Working tgether, they can complete the work in

1102

days. They work together for 8 days. 60% of the

remaining work will be completed by A alone in:

fdl h dk; Z dks djus ds fy, A vkSj B dh {kerk dk vuqi kr3 % 7 gSaA , d l kFk dk; Z djus i j] os nksuksa feydj ml h dk; Z dks

1102

fnuksa esa i wjk dj l drs gSaA os nksuksa feydj 8 fnuksa rd

, dl kFk dk; Z djrs gSaA ' ks"k 60» dk; Z dks A vdsys fdrus fnuksaesa dj i k, sxk\

(a) 512

days (b) 5 days

(c) 612

days (d) 4 days

5- The average of thirteen number is 47. The average of thefirst three numbers is 39 and that of next seven numbers is49. The 11th number is two times the 12th number and 12thnumber is 3 less than the 13th number. What is the averageof 11th and 13th number?

rsjg l a[ ; kvksa dk vkSl r 47 gSA i gyh 2 l a[ ; kvksa dk vkSl r 39gSa rFkk vkxs dh 7 l a[ ; kvksa dk vkSl r 49 gSaA 11oha l a[ ; k] 12ohal a[ ; k l s nqxquh gSa rFkk 12oha l a[ ; k] 13oha l a[ ; k l s 3 de gSaA 11ohavkSj 13oha l a[ ; kvksa dk vkSl r D; k gSa\(a) 54.5 (b) 57

(c) 56 (d) 55.5

+6- The bar graph shows the exports of Cars of Type A and B(in Rs. millions).

fn, x, naM vkjs[ k esa Vkbi A vkSj B dkjksa ds fu; kZr dks n' kkZ; kx; k gSa ( : fefy; e esa)What is the ratio of the total exports of cars of type A in

CGL MAINS 2018

Gaurav Sir

530Gaurav Sir

2014 and 2018 to the total exports of cars of type B in 2015and 2016?

2014 vkSj 2018 esa Vkbi A dkjksa ds dqy fu; kZr vkSj 2015 vkSj2016 esa Vkbi B dkjksa ds dqy fu; kZr dk vuqi kr D; k gSa\

(a) 11 : 10 (b) 10 : 9

(c) 5 : 4 (d) 3 : 2

7- If x8 – 1442x4 + 1 = 0, then a possible value of 1xx

is:

; fn x8 – 1442x4 + 1 = 0 gSa rc 1xx

dk l gh eku D; k gksxkA

(a) 5 (b) 8

(c) 4 (d) 6

8- The graphs of the equations 3x + y – 5 = 0 and 2x – y – 5 =

0 intersect at the point P , . What is the value of

3 ?

nks l ehdj.kksa 3x + y – 5 = 0 vkSj 2x – y – 5 = 0 ds xzki Q] fcUnq

P , i j , d nwl js dks dkVrs gSaA 3 dk eku D; k gSa\

(a) 4 (b) – 4

(c) 3 (d) 5

9- If 86 60 2 a b 2 , then what will be the value of

2 2a b , correct to one decimal place?

; fn 86 60 2 a b 2 gSa] rks 2 2a b dk ,d n' keyoLFkku rd l gh eku D; k gksxk\(a) 8.4 (b) 8.2

(c) 7.8 (d) 7.2

10- The sides AB and AC of ABC are produced to P and Qrespectively. The bisectors of CBP and BCQ meet at

O. If the measure of A is 44º, then what is the measure of

12 BOC?

ABC dh AB vkSj AC Hkqt k, a Øe' k% P vkSj Q cukrh gSaA CBP vkSj BCQ ds f}Hkkt d O i j feyrs gSaA ; fn A

dk eki 44º gSa] rks 12 BOC dk eki D; k gSa\

(a) 33º (b) 38º

(c) 34º (d) 32º

11- In ABC, D is a point on side BC such that ADC = BAC. If CA = 12 cm, CB = 8 cm, then CD is equal to:

ABC esa] Hkqt k BC i j D fcUnq bl i zdkj fLFkr gSa fd ADC= BAC gksrk gSaA ; fn CA = 12 cm, CB = 8 cm gSa rks CDfuEufyf[ kr esa l s fdl ds cjkcj gSa\(a) 12 cm (b) 15 cm

(c) 18 cm (d) 16 cm

12- A person marks his goods x% above the cost price andallows a discount of 30% on the marked price. If his profitis 5%, then the value of x will be:

, d O; fDr v i uh oLrqvksa ds ewY; dks muds ykxr ewY; l s x%v f/ d vafdr djrk gSa vkSj vafdr ewY; i j 30» dh NwV nsrkgSaA ; fn ml s 5» dk ykHk gksrk gSa rks] x dk eku gksxkA(a) 50 (b) 60

(c) 45 (d) 35

13- If a2 + b2 + c2 + 96 = 8(a + b – 2c), then ab bc ca isequal to:

; fn a2 + b2 + c2 + 96 = 8(a + b – 2c) gSa rc ab bc ca fdl ds cjkcj gSaA

(a) 6 (b) 2 2

(c) 4 (d) 2 3

14- A right circular cylinder of maximum volume is cut outfrom a solid wooden cube. The material left is what percentof the volume (nearest to an integer) of the original cube?

, d Bksl ydM+h ds ?ku l s v f/ dre vk; ru dk , d yacoÙkh;xksykdkj csyu dkVk t kr gSaA ' ks"k cph gqbZ ydM+h ewy ?ku dsvk; ru dk fdruk i zfr ' kr gSa\ ( , d i w.kk±d ds fudVre)A(a) 19 (b) 28

(c) 23 (d) 2115. The ratio of the volumes of two cylinders is x : y and the

ratio of their diameters is a : b. What is the ratio of theirheights?nks csyuksa ds vk; ru dk vqui kr x : y gSa rFkk muds O; kl ksa dk

531 Gaurav Sir

Gaurav Sir

vuqi kr a : b gSaA mudh mQ¡pkb; ksa dk vuqi kr D; k gSa\(a) xb : ya (b) xa : yb

(c) xb2 : ya2 (d) xa2 : yb2

16- The value of the expression 6 6cos sin 1

2 2tan cot 2 is:

6 6cos sin 1 2 2tan cot 2 dk eku D; k gksxkA

(a) 0 (b) – 1

(c) – 3 (d) 1

17- If A is 28% more than B and C is 25% less than the sum ofA and B, then by what percent will C be more than A(correct to one decimal place)?

; fn A, B l s 28» v f/ d gSa rFkk C, A vkSj B ds ; ksx l s 25»de gSa rks C, A l s fdruk i zfr ' kr v f/ d gSa\ ( , d n' keyoLFkku rd l gh)A(a) 32.2% (b) 28%

(c) 43% (d) 33.6%

18- A shopkeeper bought 120 quintals of wheat. 20% of it wassold at 25% loss. At what percent gain should he sell therest to gain 25% on the whole transaction?

, d nqdkunkj us 120 fDoaVy xsgwa [ kjhnkA bl xsagw ds 20» Hkkx dks25» gh gkfu i j csp fn; k x; kA i wjs l kSns i j 25» dk ykHk i zkIrdjus ds fy, ml s ' ks"k xsgaw dks fdrus i zfr ' kr ykHk i j cspukpkfg, \

(a) 3612

(b) 40

(c) 3712

(d) 35

19- The value of 22.4 11.567 33.59 is:

22.4 11.567 33.59 dk eku Kkr djsaA

(a) 0.32 (b) 0.412

(c) 0.31 (d) 0.412

20- Anu sold an article for Rs 480 at some profit. Had she soldit for Rs 400, then there would have been a loss equal toone–third of the initial profit. What was the cost price ofthe article?

vuq us dqN ykHk i j , d oLrq dks 480 : i ; s esa cspkA ; fn ml usml s 400 : i ; s esa cspk gksrk] rks i zkjafHkd ykHk ds , d frgkbZ dscjkcj gkfu gksrhA oLrq dk dqy ykxr ewY; D; k Fkk\(a) Rs 450 (b) Rs 430

(c) Rs 425 (d) Rs 420

21- In a school, 49 of the number of students are girls and the

rest are boys, 35 of the number of boys are below 12 years

of age and 5

12 of the number of girls are 12 years or above

12 years of age. If the number of students below 12 years

of age is 480, then 5

18 of the total number of students in

the school will be equal to:

, d fo| ky; esa] Nk=kksa dh dqy l a[ ; k dk 49 yM+fd; ka vkSj ' ks"k

yM+ds gSaA yM+dksa dh dqy l a[ ; k dk 35 ] 12 o"kZ l s de gSa] vkSj

yM+fd; ks dh l a[ ; k dk 5

12] 12 o"kZ ; k ml l s v f/ d gSaA ; fn 12

o"kZ l s de vk; q ds Nk=kksa dh l a[ ; k 480 gSa] rks Ldwy esa Nk=kksa dh

dqy l a[ ; k dk 5

18 fuEu esa l s fdl ds cjkcj gSa\

(a) 270 (b) 315(c) 225 (d) 240

22- 2sin A 1 sin A

1 sin A cos A

is equal to:

2sin A 1 sin A1 sin A cos A

dk eku D; k gSaA

(a) 1+ sinA – cosA (b) 1– sinA cosA

(c) 1+ cosA – sinA (d) 1+ sinA cosA

23- A and B can do a piece of work in 6 days and 8 days,respectively. With the help of C, they complete the work in3 days and earned Rs1848. What was the share of C?

A vkSj B fdl h dk; Z dks Øe' k% 6 fnu vkSj 8 fnu esa dj l drsgSaA C dh l gk; rk l s os bl dk; Z dks 3 fnu esa i wjk dj 1848 #i ,dek ysrs gSaA C ds fgLl s esa fdrus #i , vk, \(a) Rs 231 (b) Rs 924

(c) Rs 462 (d) Rs 693

24- If x + y + z = 11, x2 + y2 + z2 = 133 and x3 + y3 + z3 = 881, then

the value of 3 xyz is:

; fn x + y + z = 11, x2 + y2 + z2 = 133 vkSj x3 + y3 + z3 = 881 gSa

rc 3 xyz dk eku D; k gksxkA

(a) – 6 (b) 6

(c) – 8 (d) 8

Gaurav Sir

532Gaurav Sir

25- The given pie chart shows the breakup of total number ofthe employees of a company working in different offices(A, B, C, D and E).

fn, x, oÙk vkjs[ k esa , d dai uh ds fofHkUu dk; kZy; ksa (A, B, C,D vkSj E rd) esa dk; Z djus okys dqy deZpkfj; ks dh l a[ ; k dkfooj.k (czsd&v i ) n' kkZ; k x; k gSaAWhat is the number of offices in which the number ofemployees of the company is between 350 and 650?

ml dai uh ds dk; kZyk; ksa dh l a[ ; k D; k gSa ft l esa 350 l s 650 dschp deZpkjh gSa\

(a) 1 (b) 4

(c) 2 (d) 3

26- Pipes A, B and C can fill a tank in 30 hr, 40 hr and 60 hrrespectively. Pipes A, B and C are opened at 7 am, 8 am and10 am, respectively on the same day. When will the tank befull?

i kbi A, B vkSj C , d Vadh dks Øe' k% 30] 40 vkSj 60 ?kaVs esaHkj l drs gSaA bu rhuksa i kbi ksa A, B vkSj C dks , d gh fnu Øe' k%l qcg 7 ct s] 8 ct s vkSj 10 ct s pkyw dj fn; k x; kA Vadh fdrusct s Hkj t k, sxh\(a) 10:00 pm (b) 10:20 pm

(c) 9:20 pm (d) 9:40 pm

27- If the radius of a right circular cylinder is decreased by20% while its height is increased by 40%, then thepercentage change in its volume will be:

; fn fdl h yacoÙkh; csyu dh f=kT; k dks 20» de fd; k t krk gSa]t cfd ml dh mQ¡pkbZ 40» dk c<+k; k t krk gSa] rks ml ds vk; ruesa i zfr ' kr i fjorZu fdruk gksxk\(a) 1.04% increase (b) 10.4% decrease

(c) No increase or decrease (d) 10.4% increase

28- The number of students in a class is 75, out of which

1333 % are boys and the rest are girls. The average score

in mathematics of the boys is 2663 % more than that of the

girls. If the average score of all the students is 66, then theaverage score of the girls is:

, d d{kk esa fo| kfFkZ; ksa dh dqy l a[ ; k 75 gSA] ft l esa l s 1333 »

yM+ds vkSj ' ks"k yM+fd; ka gSaA xf.kr fo"k; esa yM+dksa dk vkSl r

Ldksj yM+fd; ksa ds vkSl r Ldksj dh rqyuk esa 2663 » v f/ d gSaA

; fn l Hkh fo| kfFkZ; ksa dk vkSl r Ldksj 66 gSa] rks yM+fd; ksa dk vkSl rLdksj gSaA(a) 52 (b) 55

(c) 54 (d) 58

29- A shopkeeper allows 28% discount on the marked price ofan article and still makes a profit of 20%. If he gains Rs30.80 on the sale of one article, then what will be the costprice of the article?

, d nqdkunkj fdl h oLrq ds vafdr ewY; i j 28» dh NwV nsrkgSa] fi Qj Hkh ml s 20» dk ykHk gksrk gSaA ; fn ml s , d oLrq dh fcØhi j 30-80 : i ; s dk ykHk i zkIr gksrk gSa] rks ml oLrq dk ykxrewY; D; k gSa\(a) Rs 164 (b) Rs 145

(c) Rs 160 (d) Rs 154

30- In ABC, A = 52º and O is the orthocentre of thetriangle (BO and CO meet AC and AB at E and F respectivelywhen produced). If the bisectors of OBC and OCBmeet at P, then the measure of BPC is:

ABC esa] A = 52º vkSj O , d f=kHkqt dk yac dsUnz gSa (BOvkSj CO rc Øe' k% E vkSj F i j AC , oa AB l s feyrs gSa t cmUgsa i zksM~; wl fd; k t krk gSa)A ; fn OBC vkSj OCB dsf}Hkkt d P i j feyrs gSa] rks BPC gSaA

(a) 124º (b) 132º

(c) 138º (d) 154º

31- Let a, b and c be the fractions such that a < b < c. If c is

divided by a, the result is 52

, which exceeds b by 74

. If a

+ b + c = 11112

, then (c – a) will be equal to:

a, b vkSj c , sl s fHkUu gSa fd a < b < c gSaA ; fn c, a l s foHkkT;

gSa] rks i fj.kke 52

fudyrk gSa] t ks b l s 74

v f/ d gSaA ; fn a +

b + c = 11112

gSa rks (c – a) fuEufyf[ kr es l s fdl ds cjkcj gSa\

(a)13 (b)

23

533 Gaurav Sir

Gaurav Sir

(c)16 (d)

12

32- The value of 3 3253 247

25.3 25.3 624.91 24.7 24.7

is 50 × 10k,

where the value of k is:

3 3253 24725.3 25.3 624.91 24.7 24.7

dk eku 50 × 10k gSA t gk¡

k dk eku D; k gSaA(a) 3 (b) 4

(c) 2 (d) – 3

33- Travelling at 60 km/hr, a person reaches his destination in

a certain time. He covers 60% of his journey in 25 th of the

time. At what speed (in km/hr) should he travel to coverthe remaining journey so that he reaches the destinationright on time?

dksbZ O; fDr 60 fdeh@?kaVs dh ; k=kk dj , d fuf' pr l e; esa v i us

xarO; i j i gqaprk gSaA og v i uh 60» ; k=kk dks 25 l e; esa r;

djrk gSaA ' ks"k ; k=kk i w.kZ djus ds fy, ml s fdl xfr ( fdeh@?kaVs)l s ; k=kk djuh pkfg, rkfd og v i us xarO; i j l e; i j i gqapl ds\(a) 40 (b) 48

(c) 42 (d) 36

34- Study the graph and answer the question that follows.

fn, x, vkjs[ k dk vè; ; u djs vkSj i wNs x, i z' u dk mÙkj nsaAWhat is the ratio of the total number of workers whosedaily wages are less than Rs 500 to the total number ofworkers whose daily wages are Rs 600 and above?

500 : i ; s l s de dh nSfud et nwfj; ks okys dqy dkexkjksa vkSj600 : i ; s rFkk ml l s v f/ d dh nSfud et nwfj; ksa okys dqydkexkjksa dk vuqi kr D; k gSa\

(a) 5 : 6 (b) 6 : 7(c) 3 : 4 (d) 15 : 11

35- The value of cos9º sin81º sec9º cos ec81º

sin 56ºsec34º cos 25º cosec65º

is:

cos9º sin81º sec9º cos ec81ºsin 56ºsec34º cos 25º cosec65º

dk eku Kkr djsaA

(a) 4 (b)12

(c) 2 (d)14

36- If 2 5 3 k 12 , then what will be the value

of k?

; fn 2 5 3 k 12 gSa rc k dk eku D; k gksxk\

(a) 2 5 3

(b) 2 5 3 2 10

(c) 2 5 3 2 5

(d) 2 5 3 2 5

37- If lies in the first quadrant and 2 2 1cos sin2

, then

the value of 2 2tan 2 sin 3 is:

; fn i zFke prqFkk±' k esa gS rFkk 2 2 1cos sin2

gSa rks

2 2tan 2 sin 3 dk eku gSaA

(a)72

(b) 3

(c) 4 (d)43

38- A sum of Rs 18000 is lent at 10% per annum compoundinterest, compounded annually. What is the differencebetween the compound interest for 3rd year and 4th year?

18000 : i ; s dh jkf' k dks 10» okf"kZd pØof¼ C; kt dh nj l s½.k i j fn; k x; kA rhl js vkSj pkSFks o"kZ ds pØof¼ C; kt ds chpD; k varj gSa\

(a) Rs 220.60 (b) Rs 217.80

(c) Rs 221.80 (d) Rs 215.40

39- What is the value of cosec 65º sec 25º

2 2tan 20º cos ec 70º ?

Gaurav Sir

534Gaurav Sir

cosec 65º sec 25º 2 2tan 20º cos ec 70º dk ekuKkr djsaA

(a) 0 (b) 1

(c) 2 (d) – 1

40- The ratio of the income of A to that of B is 5 : 7. A and Bsave Rs 4000 and 5000 respectively. If the expenditure of A

is equal to 2663

% of the expenditure of B, then the total

income of A and B is:

A vkSj B dh vk; q dk vuqi kr 5 % 7 gSaA A vkSj B Øe' k% 4000: i ; s vkSj 5000 : i ; s dh cpr djrs gSaA ; fn A dk O; ; ] B ds

O; ; ds 2663

» ds cjkcj gSa rks A vkSj B dh dqy vk; gSaA

(a) Rs 25200 (b) Rs 24000

(c) Rs 26400 (d) Rs 28800

41- In ABC, AB = 6 cm, AC = 8 cm and BC = 9 cm. The lengthof median AD is:

ABC esa AB = 6 cm, AC = 8 cm vkSj BC = 9 cm gSaA ekfè; dkAD dh yackbZ gSaA

(a)3172

cm (b)1192

cm

(c)1132

cm (d)1152

cm

42- If a nine digit number 389x6378y is divisible by 72, then the

value of 6x 7y will be:

; fn ukS vadksa dh l a[ ; k 389x6378y] 72 l s foHkkT; gSa] rks

6x 7y dk eku gksxkA

(a) 6 (b) 13

(c) 46 (d) 8

43-

2 2

2 2

1 cos sincos ec 1 sin

= ?

(a) cos 1 sin

(b) 2cos 1 sec

(c) sec 1 sin

(d) 2sec 1 sec

44- When 12, 16, 18, 20 and 25 divide the least number x, the

remainder in each case is 4 but x is divisible by 7. What isthe digit at the thousands’ place in x ?

t c 12] 16] 18] 20 vkSj 25 l cl s NksVh l a[ ; k x l s foHkkft rdjrs gSa] rks gj fLFkfr esa ' ks"k 4 vkrk gSa ysfdu x, 7 l s foHkkT;gSaaA crk, a fd x esa gt kj ds LFkku i j dkSu l ka vad gksxk\(a) 5 (b) 8

(c) 4 (d) 3

45- If (a + b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then

what will be the value of 1 1 1: :a b c ?

; fn (a + b) : (b + c) : (c + a) = 7 : 6 : 5 vkSj a + b + c = 27 gS]

rc 1 1 1: :a b c dk eku Kkr djsaA

(a) 3 : 6 : 4 (b) 3 : 2 : 4

(c) 4 : 3 : 6 (d) 3 : 4 : 2

46- PQRS is a cyclic quadrilateral in which PQ = 14.4 cm, QR =12.8 cm and SR = 9.6 cm. If PR bisects QS, what is thelength of PS?

PQRS , d pØh; prqHkqZt gSa] ft l esa PQ = 14.4 cm, QR = 12.8cm vkSj SR = 9.6 cm gSaA ; fn PR, QS dks f}Hkkft r djrk gSa] rksPS dh yackbZ D; k gSa\(a) 15.8 cm (b) 16.4 cm

(c) 13.6 cm (d) 19.2 cm

47- In what ratio, sugar costing Rs 60 per kg be mixed withsugar costing Rs 42 per kg such that byselling the mixtureat Rs 56 per kg there is a gain of 12%?

60 : i ; s i zfr fdxzkú okyh phu dks 42 : i ; s i zfr fdxzkú okyhphuh esa fdl vuqi kr esa fefJr fd; k t k, ft l l s fd fefJrphuh dks 56 : i ; s i zfr fdxzkú ds ewY; esa cspus i j 12» ykHki zkIr gks l ds\

(a) 5 : 6 (b) 8 : 9

(c) 4 : 5 (d) 5 : 7

48- When an article is sold for Rs 355, there is a loss of 29%.To gain 21%, it should be sold for Rs.:

t c fdl h oLrq dks 355 : i ; s esa cspk t krk gSa rks 29» gh gkfugksrh gSaA 21» ykHk i zkIr djus ds fy, ml h oLrq dks fdrus : i ; sesa cspk t k, \(a) 629.20 (b) 580.80

(c) 605 (d) 635

49-21 tan 1 ?

1 cot

(a) 2cos ec (b) 2sec

535 Gaurav Sir

Gaurav Sir

(c) 2sin (d) 2cos

50-cot coscot cos

is equal to:

cot coscot cos

fdl ds cjkcj gSaA

(a) sec tan (b) 1 sec tan (c) 1 sec tan (d) sec tan

51- If 5sin 4cos 0,0º 90º , then the value of

5sin 2 cos5sin 3cos

is:

; fn 5sin 4cos 0,0º 90º gSa] rc5sin 2cos5sin 3cos

dk eku D; k gksxkA

(a)38 (b)

37

(c)27 (d)

58

52- If the radius of the base of a cone is doubled, and thevolume of the new cone is three times the volume of theoriginal cone, then what will be the ratio of the height ofthe original cone to that of the new cone?; fn fdl h ' kadq dh f=kT; k dks nqxquk dj fn; k t k, vkSj u, ' kadqdk vk; ru ewY; ' kadq ' kadq l s 3 xquk v f/ d gSa] rks ewy ' kadq vkSju, ' kadq dh mQ¡pkbZ dk vuqi kr D; k gksxk\(a) 1 : 3 (b) 4 : 3(c) 2 : 9 (d) 9 : 4

53- Abhi rows upstream a distance of 28 km in 4 h and rowsdownstream a distance of 50 km in 2 h. To row a distanceof 44.8 km in still water, he will take:vHkh uko l s 4 ?kaVs esa 28 fdeh dh mQèoZi zokg nwjh r; djrk gSarFkk 2 ?kaVs esa 50 fdeh dh vuqi zokg nwjh r; djrk gSaA uko l s' kkar t y esa 44-8 fdeh nwjh r; djus esa ml s dqy fdrus ?kaVsyxsaxs\(a) 2.8 hours (b) 3.2 hours(c) 2.4 hours (d) 2.2 hours

54- A sum of Rs 8,400 amounts to Rs 11,046 at 8.75% p.a.simple interest in certain time. What is the simple intereston the sum of Rs 9,600 at the same rate for the same time?8-75» i zfr o"kZ ds l k/ kj.k C; kt i j 8400 : i ; s dh jkf' k , dfuf' pr l e; esa 11046 : i ; s gks t krh gSa ml h C; kt nj vkSj ml hl e; esa 9600 dh jkf' k i j l k/ kj.k C; kt D; k gSa\(a) Rs 2990 (b) Rs 3012

(c) Rs 2686 (d) Rs 3024

55- If the diameter of the base of a cone is 42 cm andits curvedsurface area is 2310 cm2, then what will be its volume (incm3) ?

; fn fdl h ' kadq ds vk/ kj dk O; kl 42 l seh gSa rFkk ml dk oØi "Bh; {ks=ki Qy 2310 oxZ l seh gSa] rks vk; ru ?ku l seh esa fdrukgksxk\(a) 25872 (b) 19404

(c) 12936 (d) 38808

56- If a cuboid of dimensions 32 cm × 12 cm × 9 cm is cut intotwo cubes of same size, what will be the ratio of the surfacearea of the cuboid to the total surface area of the twocubes?; fn 32 cm × 12 cm × 9 cm foekvksa okys fdl h ?kukHk dks l ekuvkdkj ds nks ?kuks esa dkVk t krk gSa] rks ?kukHk ds i "Bh; {ks=ki QyrFkk nks ?kuksa ds dqy i "Bh; {ks=ki Qy dk vuqi kr D; k gksxk\(a) 65 : 72 (b) 37 : 48(c) 24 : 35 (d) 32 : 39

57- When x is added to each of 2, 3, 30 and 35, then the numbersobtained in this order, are in proportion. What is the meanproportional between (x + 7) and (x – 2)?t c x dks 2] 3] 30 vkSj 35 i zR; sd esa t ksM+k t krk gSa] rks bl Øeesa i zkIr l a[ ; k, a , d vuqi kr esa gksrh gSaA crk, a (x + 7) vkSj (x –2) dk eè; kuqi krh D; k gSa\(a) 7 (b) 4(c) 6 (d) 5

58- The ratio of investment by A to that by B in a business is14 : 15 and the ratio of their respective profits at the end ofa year is 2 : 5. IfA invested the money for 3 months, thenfor how much time (in months) B invested his money?fdl h O; ol k; esa A vkSj B ds fuos' k dk vuqi kr 14 % 15 gSaAvkSj o"kZ ds var esa muds ykHk dk vuqi kr Øe' k% 2 % 5 gSaA ; fnA us 3 eghuksa ds fy, jkf' k dk fuos' k fd; k] rks B us fdrus l e;rd (eghuksa esa) v i uh jkf' k dk fuos' k fd; k\(a) 7 (b) 6

(c) 5 (d) 9

59- In ABC, AB = 7cm, BC = 10 cm and AC = 8 cm. If AD isthe angle bisector of BAC, where D is a point on BC,then BD is equal to:

ABC esa] AB = 7 cm, BC = 10 cm vkSj AC = 8 cm gSaA ; fnAD, BAC dk dks.k f}Hkkt d gSa t gk¡ D, BC i j , d fcUnq gSa]rks BD fuEufyf[ kr esa l s fdl ds cjkcj gSa\

(a)163 cm (b)

154

cm

(c)143 cm (d)

174

cm

Gaurav Sir

536Gaurav Sir

60- The base of right prism is a trapezium whose parallel sidesare 11 cm and 15 cm and the distance between them is 9cm. If the volume of the prism is 1731.6 cm3, then theheight(in cm) of the prism will be:

, d yacor fi zTe dk vk/ kj l eyac gSa] ft l dh l ekarj Hkqt k, a 11l seh vksj 15 l seh gSa rFkk muds chp dh nwjh 9 l seh gSaA ; fn fi zTedk vk; ru 1731-6 ?ku l seh gSa] rks fi zTe dh mQ¡pkbZ l seh esa gksxhA(a) 15.6 (b) 15.2

(c) 14.8 (d) 14.2

61- Raghav spends 80% of his income. If his income increasesby 12% and the savings decrease by 10%, then what willbe the percentage increase in his expenditure?

jk?ko v i uh vk; dk 80» [ kpZ djrk gSaA ; fn ml dh vk; esa 12»dh of¼ gksrh gSa vkSj cpr 10» de gksrh gSa] rks ml ds O; ; esafdrus i zfr ' kr of¼ gksxh\(a) 20.5 (b) 16

(c) 17.5 (d) 22

62- The lateral surface area of a cylinder is 352 cm2. If its heightis 7 cm, then its volume(in cm3) is:

, d csyu dk i f' oZd i "Bh; {ks=ki Qy 352 oxZ l seh gSaA ; fn bl dhmQapkbZ 7 l seh gSa] rks ml dk vk; ru ?ku l seh esa gSa\(a) 1408 (b) 1078

(c) 1293 (d) 831

63- What will be the compound interest on a sum of Rs 31,250for 2 years at 12% p.a., if the interest is compounded 8-monthly?

31250 : i ; s dh / ujkf' k i j 12» i zfro"kZ dh nj l s 2 o"kks± dsfy, pØof¼ C; kt D; k gksxk] ; fn C; kt dks 8 ekg ds vk/ kji j l a; ksft r fd; k t krk gSa\(a) Rs 8106 (b) Rs 8116(c) Rs 8016 (d) Rs 8156

64- When 7897, 8110 and 8536 are divided by the greatestnumber x, then the remainder in each case is the same. Thesum of the digits of x is:t c 7897] 8110 vkSj 8536 dks l cl s cM+h l a[ ; k x l s foHkkft rfd; k t krk gSa] rks gj fLFkfr sa ' ks"k l eku jgrk gSaA rks x ds vadksadk ; ksx gSaA(a) 14 (b) 5(c) 9 (d) 6

65- The ratios of copper to zinc in alloys A and B are 3 : 4 and5 : 9, respectively. A and B are taken in the ratio 2 : 3 andmelted to form a newalloy C. What is the ratio of copper tozine in C?

fdl h feJ / krq A vkSj B esa rkack vkSj t Lrs dk vuqi kr Øe' k%3 % 4 vkSj 5 % 9 gSaA A vkSj B dks 2 % 3 ds vuqi kr esa ysdj

, d ubZ feJ / krq C cukbZ xbZaA C esa rkack vkSj t Lrs dk vuqi krD; k gSa\(a) 8 : 13 (b) 3 : 5

(c) 9 : 11 (d) 27 : 43

66- In ABC, D and E are the points on sides AB and BCrespectively such that DE || AC. If AD : DB = 5 : 3, thenwhat is the ratio of the area of BDE to that of the trapeziumACED?

ABC esa] D vkSj EØe' k% AB vkSj BC Hkqt kvksa i j bl i zdkjfcUnq gSa fd gSaA ; fn DE || AC] AD : DB = 5 : 3 rks BDE vkSjl eyac ACED ds {ks=ki Qy dk vuqi kr D; k gSa\(a) 4 : 25 (b) 9 : 55

(c) 9 : 64 (d) 1 : 6

67- One year ago, the ratio of the age (in years) of A to that ofB was4 : 3. The ratio of their respective ages, 3 years fromnow,will be 6 : 5. What will be the ratio of respective agesof A and B, 9 years from now?

, d o"kZ i woZ A vkSj B dh vk; q (o"kks± esa) dk vuqi kr 4 % 3 FkkAvc l s 3 o"kZ ckn] muds vk; q dk vuqi kr 6 % 5 gks t k, sxkA vcl s 9 o"kZ ckn A vkSj B dh vk; q dk vuqi kr D; k gksxk\

(a) 7 : 6 (b) 10 : 9

(c) 9 : 8 (d) 8 : 7

68- The sides of a triangle are 11 cm, 60 cm and 61 cm. What isthe radius of the circle circumscribing the triangle?

, d f=kHkqt dh Hkqt k, a 11 l seh] 60 l seh vkSj 61 l seh gSaA f=kHkqtdk i fjoÙk cukus okys oÙk dh f=kT; k D; k gSa\(a) 31.5 cm (b) 31 cm

(c) 30 cm (d) 30.5 cm

69- Asum of Rs 5,000 is divided into two parts such that the

simple interest on the first part for 145 years at

263 % p.a

is double the simple interest on the second part for 324

years at 4% p.a. What is the difference between the twoparts?

5000 : i ; s dh jkf' k dks nks Hkkxksa esa bl i zdkj foHkkft r fd; k t krk

gSa fd i gys Hkkx i j 263 » i zfro"kZ dh nj l s

145 o"kks± ds fy,

l k/ kj.k C; kt ] nwl js Hkkx i j 4» i zfro"kZ dh nj l s 324

o"kks± ds

fy, l kèkkj.k C; kt l s nqxquk gksrk gSaA nksuksa Hkkxksa esa fdruk varj gSa\(a) Rs 680 (b) Rs 600

(c) Rs 560 (d) Rs 620

537 Gaurav Sir

Gaurav Sir

70- If 3 3x 1 1

2 2 , then the value of

2 x2 x

will

be closest to:

; fn 3 3x 1 1

2 2 gSa] rc

2 x2 x

dk fudVre

eku D; k gksxkA(a) 0.17 (b) 0.12

(c) 1.4 (d) 1.2

71- The given pie chart shows the breakup of total number ofthe employees of a company working in different offices(A, B, C, D and E).fn, x, oÙk vkjs[ k esa , d dai uh ds fofHkUu dk; kZy; ksa (A, B, C,D vkSj E rd) esa dk; Z djus okys dqy deZpkfj; ks dh l a[ ; k dkfooj.k (czsd&v i ) n' kkZ; k x; k gSaAIf the percentage of male employees in office C is 20% andthat of female employees in E is 40%, then what is the ratioof the number of female employees in C to that of femaleemployees in E?; fn dk; kZy; C esa i q: "k deZpkfj; ksa dk i zfr' k 20» gSa rFkk E esaefgyk deZpkfj; ksa dk i zfr' kr 40» gSa] rks E esa efgyk deZpkfj; ksa dhl a[ ; k vkSj C esa efgyk deZpkfj; ks dh l [ a; k dk vuqi kr D; k gSa\

(a) 3 : 2 (b) 5 : 4(c) 2 : 3 (d) 3 : 8

72- In a trapezium ABCD, DC || AB , AB = 12 cm and DC = 7.2cm. What is the length of the line segment joining themidpoints of its diagonals?, d l eyac ABCD esa] DC || AB , AB = 12 cm vkSj DC = 7.2cm gSaA fod.kks± ds eè; fcUnqvksa dks t ksM+us okys js[ kk&[ kaM dhyackbZ D; k gSa\(a) 2.6 cm (b) 4.8 cm(c) 2.4 cm (d) 3.6 cm

73- A number is first increased by 16% and then increased by14%. The number, so obtained, is now decreased by 30%.What is the net increase or decrease percent in the originalnumber(nearest to an integer)?

fdl h l a[ ; k dks i gys 16» vkSj fi Qj l s 14» c<+k; k t krk gSaA bl

i zdkj i zkIr l a[ ; k dks 30» ?kVk; k t krk gSaA ewy l a[ ; k esa gqbZ of¼; k fxjkoV dk ' kq¼ i zfr ' kr D; k gSa\ ( , d i w.kk±d ds fudVre)(a) 6% increase(b) 7% decrease(c) No increase or decrease

(d) 9% decrease

74- Radha marks her goods 25% above the cost price. Shesells 35% of goods at the marked price, 40% at 15%discount and the remaining at 20% discount. What is heroverall percentage gain?

jk/ k v i uh oLrqvksa dks muds ykxr ewY; l s 25» v f/ d vafdrdjrh gSaA og 35» oLrqvksa dks vafdr ewY; i j] 40» dks 15» dhNwV i j] vkSj ' ks"k dks 20» dh NwV i j csprh gSaA ml dk l exzi zfr ' kr ykHk D; k gSaA

(a) 11.25 (b) 10

(c) 11.75 (d) 12.75

75- Chord AB of a circle is produced to a point P, and is a pointon the circle such that PC is a tangent to the circle. If PC =18 cm, and BP = 15 cm, then AB is equal to:

fdl h oÙk dh t hok AB dks P i j i zksM~; wl fd; k t krk gSa vkSj CoÙk i j bl i zdkj , d fcUnq gSa fd PC, oÙk ds fy, , d Li ' kZjs[ kkgSaA ; fn PC = 18 cm vkSj BP = 15 cm gSa] rks AB fuEufyf[ kr esafdl ds cjkcj gSa\(a) 5.8 cm (b) 6.2 cm

(c) 6.6 cm (d) 8.5 cm

76- One of the factors of (82k + 52k), where k is an odd number,is:

(82k + 52k) dk , d xq.ku[ kaM] t gka k , d fo"ke l a[ ; k gSaA(a) 86 (b) 88

(c) 84 (d) 89

77- The internal and external radii of a hollow hemisphericalvessel are 6 cm and 7 cm respectively. What is the totalsurface area (in cm2) of the vessel?

, d [ kks[ kys xksyk¼Z i k=k dh vkarfjd vkSj ckgjh f=kT; k, a Øe' k%6 l seh vkSj 7 l seh gSaA i k=k dk dqy i "Bh; {ks=ki Qy (oxZ l sehesa) fdruk gSa\

(a) 183 (b) 189

(c) 177 (d) 174

78- When the price of an item was reduced by 25%, then itssale was increased by x% . If there is an increase of 20% inthe receipt of the revenue, then the value of x will be:

t c fdl h oLrq ds ewY; dks 25» de dj fn; k x; k] rks ml dhfcØh x% c<+ xbZA ; fn fcØh vk; esa 20» dh of¼ gksrh gSa] rksx dk eku gksxkA

Gaurav Sir

538Gaurav Sir

(a) 50 (b) 60

(c) 45 (d) 75

79- In a constituency, 55% of the total number of voters aremales and the rest are females. If 40% of the males areilliterate and 40% of the females are literate, then by whatpercent is the number of literate males more than that ofilliterate females?

fdl h fuokZpu {ks=k esa] dqy ernkrkvksa dh l a[ ; k dk 55» i q: "kvkSj ' ks"k efgyk gSaA ; fn 40» i q: "k v f' kf{kr vkSj 40» efgyk, af' kf{kr gSa] rks v f' kf{kr efgykvksa dh rqyuk esa f' kf{kr i q: "kksa dhl a[ ; k fdrus i zfr ' kr v f/ d gSa\

(a)82211

(b)2189

(c)2229 (d)

21811

80- From the top of a tower, the angles of depression of twoobjects on the ground on the same side of it, are observedto be and respectively 60º and 30º the distance between

the objects is 400 3 m. The height (in m) of the tower is:

, d ehukj ds ' kh"kZ l s nks oLrqvksa dk voueu dks.k] Hkwfe i jml ds l eku fdukjs i j Øe' k% 60º vkSj 30º i k; s t krs gSa vkSj nksuksa

oLrqvksa ds chp dh nwjh 400 3 eki h t krh gSaA ehukj dh mQapkbZehVj esa gSaA

(a) 800 (b) 800 3

(c) 600 (d) 600 3

81- A train travelling at the speed of x km/h crossed a 200 mlong platform in 30 seconds and overtook a man walkingin the same direction at the speed of 6 km/h in 20 seconds.What is the value of x ?

, d Vªsu us x fdeh@?kaVs dh jÝrkj l s 200 ehVj , d yacs IysVi QkWeZdks 30 l sdaM esa i kj fd; k rFkk ml h fn' kk esa 6 fdeh@?kaVs dhjÝrkj l s py jgs , d vkneh dks 20 l sdsaM esa i kj fd; kA x dkeku gSa\(a) 50 (b) 54

(c) 56 (d) 60

82- Let 24 38 54x 633 277 266 . What is the unitsdigit of x ?

; fn 24 38 54x 633 277 266 gSa] rks x dk bdkbZ vad

D; k gSa\(a) 7 (b) 6

(c) 4 (d) 8

83- Three solid metallic spheres whose radii are 1 cm, x cm and8 cm, are melted and recast into a single solid sphere ofdiameter 18 cm. The surface area (in cm2) of the spherewith radius x cm is:

1 l seh] x l seh vkSj 8 l seh f=kT; k okys rhu Bksl / kfRod xksyksa dksfi ?kykdj 18 l seh O; kl ds , d Bksl xksys esa : i karfjr fd; k t krkgSaA x l seh f=kT; k okys xksys dk i "Bh; {ks=ki Qy oxZ l seh esa gSaA

(a) 144 (b) 72

(c) 64 (d) 100

84- The value of 6 1 2 1 3 2 1 12 of 4 1 2 of7 5 3 9 4 3 2 4

is;

6 1 2 1 3 2 1 12 of 4 1 2 of7 5 3 9 4 3 2 4

dk eku D; k gksxkA

(a) 5 (b) 8

(c)18 (d)

15

85- An article is sold at a certain price. If it is sold at 1333 % of

this price, there is a loss of 1333 %. What is the percentage

profit whenit is sold at 60% of the original selling price?

, d oLrq dks fdl h ewY; i j cspk t krk gSaA ; fn ml s mDr ewY;

ds 1333 » i j cspk t krk gSa] rks

1333 » dh gkfu gksrh gSaA ; fn

oLrq dks ewy fcØh ewY; ds 60» i j cspk t krk gSa] rks ykHki zfr ' kr D; k gSa\(a) 20 (b) 30

(c) 3313 (d) 17

13

86- If a3 + b3 = 218 and a + b = 2, then the value of ab is:

; fn a3 + b3 = 218 vkSj a + b = 2 gSa] rc ab dk eku D; k gSaA(a) 34 (b) –35

(c) –31 (d) 32

87- In ABC, A = 58º. If I is the in center of the triangle,then the measure of BIC is:

ABC esa] A = 58º gSaA ; fn I f=kHkqt dk var%dsUnz gSa rks BIC dk eki gSaA(a) 109º (b) 123º

(c) 112º (d) 119º

88- If 3 3 2 22 2x 3 3y 2x 3y Ax By Cxy , then thevalue of A2 + B2 – C2 is:

539 Gaurav Sir

Gaurav Sir

; fn 3 3 2 22 2x 3 3y 2x 3y Ax By Cxy gSa rc A2

+ B2 – C2 dk eku Kkr djsaA(a) 11 (b) 7

(c) 19 (d) 10

89- A circle is inscribed in ABC, touching AB, BC and AC atthe points P, Q and R respectively. If AB – BC = 4 cm, AB– AC = 2 cm and the perimeter of ABC = 32 cm, then PB+ AR is equal to:ABC ds Hkhrj , d oÙk cuk; k x; k gSa t ks Øe' k% P, Q vkSjR fcUnqvksa i j AB, BC vkSj AC dks Li ' kZ djrk gSaA ; fn AB –BC = 4 cm, AB – AC = 2 cm vkSj ABC = 32 cm dk i fjeki gSa]rks PB + AR fuEufyf[ kr esa fdl ds cjkcj gSa\(a) 12 cm (b) 13 cm

(c)335 cm (d)

383 cm

90- If each interior angle of a regular polygonis 4128 º7

,

then what is the sum of the number of its diagonals andthe number of its sides?

; fn fdl h l ecgqHkqt dk i zR; sd vkarfjd dks.k 4128 º7

gSa] rks

ml ds fod.kks± dh l a[ ; k vkSj ml dh Hkqt kvksa dh l a[ ; k dk ; ksxD; k gSa\(a) 15 (b) 19(c) 17 (d) 21

91- If the radius of a sphereis increased by 4 cm, its surface

areais increased by 2464 cm . What is the volume (incm3) of the original sphere?; fn fdl h xksys dh f=kT; k dks 4 l seh c<+k; k t krk gSa rks ml ds

i "Bh; {ks=ki Qy esa 2464 cm dh of¼ gks t krh gSaA ewy xksys dkvk; ru ?ku l seh esa fdruk gksxk\

(a)15625

6 (b)

359378

(c)11979

2 (d)

156258

92- The sum of the digits of a two-digit number is 17 of the

number. The units digit is 4 less than the tens digit. If thenumber obtained on reversing its digits is divided by 7,the remainder will be:

nks vadksa dh l a[ ; k ds vadks dk ; ksx] l a[ ; k dk 17 gSaA bdkbZ vad

ngkbZ vad l s 4 de gSaA ; fn vad dks mYVk djus i j i zkIr vad

7 l s foHkkft r gSa] rks ' ks"k gksxkA(a) 4 (b) 5

(c) 1 (d) 6

93- The graph of the equation x – 7y = – 42, intersects the y-

axis at P , and the graph of 6x + y – 15 = 0, intersects

the x-axis at Q , , What is the value of ?

l ehdj.k x – 7y = – 42 dk xzki Q P , i j y–v{k dks dkVrk

gSa rFkk 6x + y – 15 = 0 dk xzki Q Q , i j x–v{k dks dkVrk

gSaA dk eku D; k gSa\

(a)172

(b) 6

(c)92

(d) 5

94- In quadrilateral ABCD, the bisectors of A and B meetat O and AOB = 64º, C + D is equal to:

, d prqHkqZt ABCD esa] A vkSj B ds f}Hkkt d O i j rFkk AOB = 64º feyrs gSa] C + D fdl ds cjkcj gSa\(a) 136º (b) 128º

(c) 116º (d) 148º

95- ‘A’started a business with a capital of Rs 54,000 andadmitted ‘B’ and ‘C’ after 4 months and 6 months,respectively. At the end of the year, the profit was dividedin the ratio 1 : 4 : 5. What is the difference between thecapitals invested by ‘B’ and ‘C’?

A us 54000 : i ; s dh i wat h ds l kFk , d O; ol k; ' kq: fd; k vkSjB vkSj C dks Øe' k% 4 vkSj 6 eghus ds ckn bl O; ol k; esa' kkfey fd; kA o"kZ ds var esa] ykHk dks 1 % 4 % 5 ds vuqi kr esafoHkkft r fd; k x; kA B vkSj C }kjk fuos' k dh xbZ i wat h ds chpfdruk varj gSa\(a) Rs 108000 (b) Rs 162000

(c) Rs 216000 (d) Rs 324000

96- A and B started their journeys from X to Y and Y to X,respectively. After crossing each other, A and B completed

the remaining parts of their journeys in 168

h and 8 h

respectively. If the speed of B is 28 km/h, then the speed(in km/h) of A is:

A vkSj B us v i uh ; k=kk Øe' k% X l s Y rd vkSj Y l s X rdi gq¡pus ds fy, ' kq: dhA , d nwl js dks i kj djus ds ckn] A vkSj

B v i uh ' ks"k ; k=kk dks Øe' k% 168

?kaVs vkSj 8 ?kaVs esa i wjk djrs gSaA

Gaurav Sir

540Gaurav Sir

; fn B dh xfr 28 fdeh@?kaVk gSa] rks A dh xfr fdeh@?kaVk esa gSaA(a) 40 (b) 42

(c) 32 (d) 36

97- The given pie chart shows the breakup of total number ofthe employees of a company working in different offices(A,B, C, D and E).

fn, x, oÙk vkjs[ k esa , d dai uh ds fofHkUu dk; kZy; ksa (A, B, C,D vkSj E rd) esa dk; Z djus okys dqy deZpkfj; ks dh l a[ ; k dkfooj.k (czsd&v i ) n' kkZ; k x; k gSaAIf 40% of the number of employees in office A are shiftedequally to office B and E, then what is the differencebetween the number of employees in B and that in C?

; fn dk; kZy; A ds deZpkfj; ks dh l a[ ; k dks 40» dk; kZy; B vkSjE esa cjkcj dh l a[ ; k esa LFkkukarfjr dj fn; k t krk gSa] rks B vkSjC esa deZpkfj; ksa dh l a[ ; k esa fdruk varj gSa\

(a) 72 (b) 120

(c) 82 (d) 130

98- The volume of a right pyramid is 45 3 cm3 and its base isan equilateral triangle with side 6 cm. What is the height(incm)of the pyramid?

, d l e fi jkfeM dk vk; ru 45 3 ?ku l seh vkSj ml dk vk/kj l eckgq f=kdks.k gSa ft l dh i zR; sd Hkqt k 6 l seh gSA fi jkfeM dhmQapkbZ l seh esa fdruh gSa\

(a) 15 (b) 18

(c) 12 (d) 20

99- A certain numberof persons can complete a work in 34days working 9 h a day. If the number of persons isdecreased by 40%, then how many hours a day should theremaining persons work to complete the work in 51 days?

dqN O; fDr i zfrfnu 9 ?kaVs dk; Z dj fdl h dk; Z dks 34 fnuksa esai wjk dj l drs gSaA ; fn O; fDr; ksa dh l a[ ; k dks 40» de dj fn; kt krk gSa] rks ' ks"k O; fDr; ksa dks 51 fnu esa ml h dk; Z dks i wjk djusds fy, gj fnu fdrus ?kaVsa dk; Z djuk i M+sxk\

(a) 9 (b) 8

(c) 12 (d) 10

100- The bar graph shows the exports of Cars of Type A and B(in Rs millions).

fn, x, naM vkjs[ k esa Vkbi A vkSj B dkjksa ds fu; kZr dks n' kkZ; kx; k gSa ( : fefy; e esa)

The total exports of cars of type A in 2014 to 2017 isapproximately what percentage less than the total exportsof cars of type B in 2015 to 2018?

2014 l s ysdj 2017 rd Vkbi A dkjksa dk dqy fu; kZr 2015 l sysdj 2018 rd esa Vkbi B dkjks ds dqy fu; kZr l s yxHkx fdrusi zfr ' kr de gSa\

(a) 31.3 (b) 30.4(c) 14.3 (d) 23.8

SOLUTION1. Ans:– (d)

87 8 1 16 7 1 16 24 96 3264 6.44 4 1 15 15 54 1 416 8 4 4

2. Ans:– (c)

Avg of Type (A) = 1100 220

5

200 1102014 220100

3. Ans:– (a)

sin 3 tan 3 60ºcos

2

23 3 22 2 22 2 3

=3 2 6 3 16 3 12 82 4 34 3 4 3

Gaurav Sir

592Gaurav Sir

CPO TIER – I, 2018TEST TIME:– 10:00AM – 12:00PM

TEST DATE 12/03/20191. The efficiencies of A, B and C are in the ratio 4 : 5 : 6. Working

together. they can complete a work in 12 days. In how many dayswill A alone be able to complete that work?

A, B vkSj C dh {kerk 4 : 5 : 6 ds vuqi kr esa gSaA os 12 fnuksa esa, d dke i wjk dj l drs gSaA A vdsys fdrus fnuksa esa ml dke dksi wjk dj i k, xk\(a) 30 (b) 45(c) 40 (d) 36

2. A sphere of radius 6 cm is melted and recast into spheres ofradius 2 cm each. How many such spheres can be made?

6 l seh f=kT; k ds , d xksys dks fi ?kyk; k t krk gS vkSj çR; sd 2 l sehf=kT; k ds xksys esa fi Qj l s cuk; k t krk gSA , sl s fdrus xksys cuk, t kl drs gSa\(a) 25 (b) 36(c) 24 (d) 27

3. If the six digit number 4x4y96 is divisible by 88, then what will bethe value of (x + 2y)?

; fn Ng vadksa dh l a[ ; k 4x4y96 88 l s foHkkT; gS] rks (x + 2y)dk eku D; k gksxk\(a) 11 (b) 12(c) 13 (d) 10

4. If A's income is 40 % more than the income of B. then whatpercentage of B's income is less than income of A?

; fn A dh vk; B dh vk; l s 40» v f/ d gS rks B dh vk; Adh vk; l s fdrus i zfr ' kr de gS\

(a) 427 %7

(b) 528 %7

(c) 527 %7

(d) 428 %7

5. If a train runs at 60 km/h, it reaches its destination 15 minuteslate. But, if it runs at 80 km/h. it is late by 7 minutes only. Theright time for the train to cover its journey is:

; fn dksbZ Vªsu 60 fdeh@?kaVk dh jÝrkj l s pyrh gS] rks og v i usxarO; i j 15 feuV nsjh l s i gqaprh gSA ysfdu] vxj ; g 80 fdeh@?kaVki j pyrk gSA ; g dsoy 7 feuV dh nsjh gSA Vªsu dks v i uh ; k=kk dksdoj djus dk l gh l e; gS%

(a) 17 minutes/feuV (b) 18 minutes/feuV

(c) 20 minutes/feuV (d) 21 minutes/feuV

6. From the top of a 10 m high building, the angle of elevation of thetop of a tower is 60° and the angle of depression of the foot of the

tower is , such that tan 23

. What is the height of the tower

to nearest metres?10 ehVj Åaph bekjr ds Åi j l s] , d VkWoj ds ' kh"kZ dk dks.k 60°

gS vkSj VkWoj ds i Sj ds vol kn dk dks.k , gS t Sl s fd tan23

VkWoj

dh ÅapkbZ D; k gS fudVre ehVjksa esa(a) 35m (b) 36m(c) 34m (d) 33m

7. A sum of Rs. 20,000 is invested for 15 months at the interest of10% per annum compounded half yearly. What is the percent-age gain, correct to one decimal place, at the end of 15 months?Nekgh : i l s l a; ksft r pØof¼ C; kt çfr o"kZ 10» dh nj l s 15eghus ds fy, 20]000 #i ; s dh jkf' k dk fuos' k fd; k t krk gSA 15eghus ds var esa , d n' keyo LFkku i j çfr ' kr ykHk D; k gS\(a) 13.6% (b) 13.4%(c) 13.0% (d) 12.5%

8.

In the given histogram, what is the mean height of all studentscorrect to one decimal place?fn, x, fgLVksxzke esa] l Hkh Nk=kksa dh vkSl r ÅapkbZ , d n' keyoLFkku i j l gh D; k gS\(a) 116.8 cm (b) 116.2 cm(c) 115.6 cm (d) 114.7 cm

9. PA and PB are two tangents to a circle with centre O. from apoint P outside the circle. A and B are points on the circle. IfAPB = 40°, then OAB is equal to:PA vkSj PB , d oÙk ds dsaæ fcanq O l s oÙk ds ckgj nks fcanq gSaAA vkSj B oÙk i j fLFkr fcanq gSaA ; fn APB = 40° gS] rks OABcjkcj gS%(a) 20° (b) 40°(c) 25° (d) 50°

10. Two pipes A and B can fill a tank in 6 hours and 9 hoursrespectively. They are opened alternately for 1 hour each, start-ing with pipe A first. In how many hours will the tank be filled?nks i kbi A vkSj B Øe' k% 6 ?kaVs vkSj 9 ?kaVs esa , d VSad Hkj l drs

CPO TIER – I, 2018

Gaurav Sir

Gaurav Sir593

gSaA os oSdfYi d : i l s 1 ?kaVs ds fy, • ksys t krs gSa] i gys i kbi Al s' kq: djrs gSaA fdrus ?kaVs esa VSad Hkj t k, xk\(a) 6 (b) 5(c) 4 (d) 7

Instructions/v uqns' kRead the given pie-chart and answer the questions below.fn, x, i kbZ&pkVZ dks i <+sa vkSj uhps fn, x, ç' uksa ds mÙkj nsaA

Degree of Cost incurredin different Expenditure (Total Rs. 4,50,000)

900

360

720

5401080

Steel

Cement

BrickLabour

Miscella

neous

11. What is the total expenditure (in percent) on labour charges?Je ' kqYd i j dqy O; ; (çfr ' kr esa) D; k gS\(a) 25% (b) 30%(c) 18% (d) 20%

12. The expenditure on steel is what percent of the expenditure oncement?LVhy i j • pZ l hesaV i j • pZ dk fdruk çfr' kr gS\(a) 55% (b) 40%(c) 50% (d) 45%

13. If ABC ~ QPR, ar(ABC) 9ar(PQR) 4

, AC, = 12cm, AB = 18cm

and BC = 15cm then PR is equal to:

; fn ABC ~ QPR, ar(ABC) 9ar(PQR) 4

, AC, = 12cm, AB = 18cm

vkSj BC = 15cm rks PR cjkcj gS%(a) 12cm (b) 8cm

(c)20 cm3 (d) 10cm

14. In an examination, 54 % of the candidates passed in science and42 % failed in mathematics. If 32% failed in both subjects, whatpercentage passed in both subjects?, d i jh{kk esa] 54» mEehnokj foKku esa i kl gSa vkSj 42» xf.kr esavl i Qy jgsA ; fn nksuksa fo"k; ksa esa 32» i Qsy gq, ] rks nksuksa fo"k; ksa esafdrus çfr' kr mÙkh.kZ gq, \(a) 32% (b) 56%(c) 44% (c) 48%

15. A sum of Rs. 15,000 is invested partly at 12% per annum and theremaining at 10% per annum simple interest. If the total interestat the end of 2 years is Rs. 3,344 how much money was invested

at 10% per annum15]000 #i ; s dh jkf' k dks vkaf' kd : i l s 12» çfr o"kZ vkSj ' ks"k10» çfr o"kZ l k/ kj.k C; kt i j fuos' k fd; k t krk gSA vxj 2 l kyds var esa dqy C; kt 3]344 #i ; s gS rks çfr o"kZ 10» i j fdruki Sl k yxk; k x; k Fkk(a) Rs. 6,600 (b) Rs. 6,400(c) Rs. 6,200 (d) Rs. 6,500

16. The side of a rhombus is 5 cm and one of its diagonal is 8 cm.What is the area of the rhombus?, d l eprqHkZqt dk Hkqt k 5 l seh vkSj ml dk , d fod.kZ 8 l seh gSAjksEcl dk {ks=ki Qy D; k gS\(a) 40cm2 (b) 20cm2

(c) 30cm2 (d) 24cm2

17. Number of Boys and Girls in College A, B, C, D and EdkWyst A, B, C, D v kSj E esa yM+dksa v kSj yM+fd ; ksa dh l a[ ; k

In the given bar graph, in which college the difference betweenthe percentage of boys and girls is maximum, by taking totalnumber of students as base for that college?fn, x, ckj xzki Q esa] fdl dkWyst esa yM+dksa vkSj yM+fd; ksa dsçfr' kr ds chp dk varj v f/ dre gS] dqy Nk=kksa dh l a[ ; k dksml dkWyst ds fy, vk/ kj ekudj\(a) A (b) E(c) B (d) D

18.

In the given histogram. in which class does the median height ofthe students lie?fn, x, fgLVksxzke esaA Nk=kksa dh vkSl r ÅapkbZ fdl oxZ esa gS\(a) 105-110 (b) 110-115(c) 115-120 (d) 120-125

19. Two numbers are in the ratio 4 : 5. If their HCF is 16. then thesum of these two numbers is:nks l a[ ; k, ¡ 4% 5 ds vuqi kr esa gSaA ; fn mudh HCF 16 gSA rks bunks l a[ ; kvksa dk ; ksx gS%(a) 150 (b) 160

Gaurav Sir

594Gaurav Sir

(c) 124 (d) 144

20.4 345 7 of 4 3 17 –

5 10 5 is equal to:

ds cjkcj gS%

(a)3425 (b)

4125

(c)85 (d)

75

21. What is the sum of digits of the least number. which whendivided by 15, 18 and 24 leaves the remainder 8 in each case andis also divisible by 13?l cl s NksVh l a[ ; k ds vadksa dk ; ksx D; k gSA t c 15] 18 vkSj 24l s foHkkft r fd; k t krk gS rks ' ks"k 8 dks çR; sd fLFkfr esa NksM+ fn; kt krk gS vkSj 13 l s foHkkT; gksrk gS\(a) 18 (b) 16(c) 15 (d) 17

22. A shopkeeper marks his aoods at a price such that after givinga discount of 25 % he gains 20% . If the cost price of the articleis Rs. 460, what is its marked price?, d nqdkunkj v i us eky dks , sl s ewY; i j vafdr djrk gS fd 25»dh NwV nsus ds ckn og 20» çkIr djrk gSA ; fn oLrq dh ykxrewY; 460 # gS] rks bl dk fpfÉr ewY; D; k gS\(a) Rs. 736 (b) Rs. 725(c) Rs. 748 (d) Rs. 752

23. If (x – 5)3 + (x – 6)3 + (x – 7)3 = 3(x – 5)(x – 6) (x – 7), then what is the value of x?; fn (x – 5)3 + (x – 6)3 + (x – 7)3 = 3(x – 5)(x – 6) (x – 7), rks x dk eku D; k gS\(a) 7 (b) 5(c) 18 (d) 6

24. A shopkeeper sold two articles for Rs. 9471 each. On one, hegained 23% and on the other, he lost 23%. What is the overallpercentage gain or loss?, d nqdkunkj us nks oLrqvksa esa l s i zR; sd dks 9471 #i ; s esa csprk gSaA,d i j ml s 23» dk ykHk vkSj nwl js i j ml s 23» dk uqdl ku gqvkAdqy çfr' kr ykHk ; k gkfu D; k gS\(a) 5.29% Gain/ykHk (b) 5.29% Loss/gkfu(c) 6.29% Loss/gkfu (d) 6.29% Gain/ykHk

25. In a class of 50 students. 40% are girls. The average weight ofthe boys is 62 kg and that of the girls is 58 kg. What is theaverage weight (in kg) of the whole class?50 Nk=kksa dh , d d{kk esa 40» yM+fd; ka gSaA yM+dksa dk vkSl r ot u62 fdyksxzke gS vkSj yM+fd; ksa dk vkSl r 58 fdyksxzke gSA i wjh d{kkdk vkSl r ot u ( fdyks esa) D; k gS\(a) 60.4 (b) 60.2(c) 60.8 (d) 60.6

26. The radius of a cylinder is increased by 150% and its height isdecreased by 20%. What is the percentage increase in its volume?, d fl ysaMj dh f=kT; k 150» c<+ t krh gS vkSj bl dh ÅapkbZ 20»de gks t krh gSA bl dh ek=kk esa çfr' kr of¼ D; k gS\(a) 80% (b) 400%(c) 500% (d) 600%

27. The value of/dk ewY;

2 22

2 2sin 24 sin 66 sin 61 cos61 sin 29cos 24 cos 66

(a) 1 (b) 3(c) 0 (d) 2

28. If tan x = cot (45° + 2x), then what is the value of x?; fn tan x = cot (45° + 2x) gS] rks x dk eku D; k gS\(a) 45° (b) 20°

(c) 15° (d)452

29. A, B and C started a business by investing Rs. 55,000, Rs.65,000 and Rs. 75,000 respectively. A is a working partner andgets 20% of the profit and the remaining is distributed in theproportion of their investments. If total profit is Rs. 87,750,what is the share of A?A, B vkSj C us #i ; s dk fuos' k djds , d O; ol k; ' kq: fd; kA55]000] #i ; s 65]000 vkSj #i ; s Øe' k% 75]000A A , d dkedkt hl k>snkj gS vkSj ykHk dk 20» çkIr djrk gS vkSj ' ks"k dks mudsfuos' k ds vuqi kr esa forfj r fd; k t krk gSA ; fn dqy ykHk #i ; s87]750] A dk fgLl k D; k gS\(a) Rs. 23,000 (b) Rs. 37,350(c) Rs. 27,000 (d) Rs. 37,500

30.

A B C D E

Boys Girls

400

500

600

500

650700

600

450

750

650

Number of Boys and Girls in College A, B, C, D and E

Num

ber o

f Stu

dent

s

In the given bar graph, what is the average number of girls in allcolleges?fn, x, ckj xzki Q esa] l Hkh dkWyst ksa esa yM+fd; ksa dh vkSl r l a[ ; kD; k gS\(a) 550 (b) 560(c) 540 (d) 600

31. In ABC, A = 50° and sides AB and AC are produced to thepoint D and E. If the bisectors of CBD and BCE meet at thepoint O, then BOC is equal to:ABC, A = 50° rFkk Hkqt k AB vkSj AC dks fcanq D vkSj E i jmRi kfnr fd; k t krk gSA ; fn CBD vkSj BCE ds f}Hkkt d fcanq

Gaurav Sir

Gaurav Sir595

O i j feyrs gSa] rks BOC cjkcj gS%(a) 55° (b) 75°(c) 65° (d) 40°

32. The successive discounts of 20%, 10 % and 15 % is equivalent toa single discount of:20»] 10» vkSj 15» dh Øfed NwV , dy NwV ds cjkcj gS%(a) 42.2 % (b) 43.5 %(c) 38.8 % (d) 44.5%

33. What is the sum of the mean proportional between 10.8 and 4.8and the third proportional of 2 and 4?10-8 vkSj 4-8 ds chp ds vkuqi kfrd dk ; ksx D; k gS vkSj 2 vkSj4 dk rhl jk vkuqi kfrd gS\(a) 10.2 (b) 11.2(c) 8.2 (d) 15.2

34. The square root of which of the following is a rational number?fuEufyf• r esa l s fdl dk oxZewy , d i fjes; l a[ ; k gS\(a) 6250.49 (b) 1250.49(c) 5768.28 (d) 1354.24

35. If 1 5xx

, then 33

1xx

is equla to:

; fn 1 5xx

] rks33

1xx

bl ds cjkcj gS%

(a) 125 (b) 130(c) 145 (d) 110

36.

In the given histogram, what percentage of students have height inthe interval of 105 - 110?fn, x, fgLVksxzke esa] 105&110 ds varjky esa fdrus çfr ' kr Nk=kksadh ÅapkbZ gS\(a) 17% (b) 16.5%(c) 17.5% (d) 18%

37. The sides of a triangle are 10cm, 24cm and 26cm. At each of itsvertices, circles of radius 3.5cm are drawn. What is the area ofthe triangle excluding the portion covered by the sectors of the

circles? 227

, d f=kHkqt dh Hkqt k, ¡ 10 l seh] 24 l seh vkSj 26 l seh gSaA bl dsçR; sd dksus i j f=kT; k 3-5 l seh ds oÙk • haps x, gSaA l dZy ds {ks=kksa}kjk doj fd, x, fgLl s dks NksM+dj f=kdks.k dk {ks=k D; k gS\

227

(a) 100.75cm2 (b) 81.5cm2

(c) 75.75cm2 (d) 78.25cm2

38.

A B C D E

Boys Girls

400

500

600

500

650700

600

450

750

650

Number of Boys and Girls in College A, B, C, D and E

Num

ber o

f Stu

dent

sIn the given bar graph, what is the ratio of the total boys andgirls in all 5 colleges?fn, x, ckj xzki Q esa] l Hkh 5 dkWyst ksa esa dqy yM+dksa vkSj yM+fd; ksadk vuqi kr D; k gS\(a) 13 : 12 (b) 14 : 15(c) 15 : 14 (d) 12 : 13

39. If a3 – b3 = 208 and a – b = 4, then (a+b)2 – ab is equal to:; fn a3 – b3 = 208 vkSj a – b = 4 gS] rks (a+b)2 – ab cjkcj gS%(a) 42 (b) 52(c) 32 (d) 38

40.675 675 675 325 325 325

67.5 67.5 32.5 32.5 – 67.5 32.5

is equal to:/ds cjkcj gS%(a) 10,000 (b) 100(c) 1,00,000 (d) 1,000

41. A ladder leaning against a wall makes an angle with the horizon-

tal ground such that tan =34 if the foot of the ladeder is 5m

away from the wall, what is the length of the ladder?, d nhokj ds f• yki Q >qdko okyh l h<+h {kSfrt t ehu ds l kFk , d

dks.k cukrh gS t Sl s fd tan =34 ; fn yacj dk i Sj nhokj l s 5 ehVj

nwj gS] rks l h<+h dh yackbZ D; k gS\(a) 4.5m (b) 6.25m(c) 5.25m (d) 3.75m

42. 3 1 1 1 39 2 4 – 24 6 3 2 4

is equal to:

ds cjkcj gS%(a) 4 (b) 3

(c)154 (d)

174

Gaurav Sir

596Gaurav Sir

43. ABCD is a cyclic quadrilateral such that AB is a diameter of thecircle circumscribing it and angle ADC = 140°. Then angle BACis equal to:ABCD , d pØh; prqHkZqt gS t Sl s AB oÙk dk , d O; kl gS t ksbl s i fjpkfyr djrk gS vkSj ADC = 140° dks dks.k djrk gSA fi Qjdks.k BAC bl ds cjkcj gS%(a) 60° (b) 38°(c) 50° (d) 40°

44.

Degree of Cost incurredin different Expenditure (Total Rs. 4,50,000)

900

360

720

5401080

Steel

Cement

BrickLabour

Miscella

neous

In the given pie-chart, what is the ratio of the total expenditureon steel, cement and bricks to the total expenditure on labourand miscellaneous expenses?fn, x, i kbZ&pkVZ esa] LVhy] l hesaV vkSj bZaVksa i j dqy O; ; dk vuqi krJe vkSj fofo/ O; ; i j D; k gS\(a) 4 : 5 (b) 9 : 11(c) 3 : 7 (d) 3 : 5

45. 24 persons working 8 hours a day can complete 2 units of a work in10 days. How many persons are required to complete 4 units of thatwork, if they work 6 hours a day for 16 days?, d fnu esa 8 ?kaVs dke djus okys 24 O; fÙkQ , d dke dh 2bdkb; ksa dks 10 fnuksa esa i wjk dj l drs gSaA ml dk; Z dh 4 bdkb; ksadks i wjk djus ds fy, fdrus O; fÙkQ; ksa dh vko' ; drk gksrh gS] ; fnos 16 fnuksa ds fy, 6 ?kaVs dke djrs gSa\(a) 40 (b) 36(c) 48 (d) 32

46. The average of 16 numbers is 48. The average of the first 7numbers is 45 and the average of the next 6 numbers is 52. If the14th number is 11 less than the 15th number and is 5 more thanthe 16th number, then the average of the 15th and 16th number is:16 l a[ ; kvksa dk vkSl r 48 gSA i gyh 7 l a[ ; kvksa dk vkSl r 45 gSvkSj vxyh 6 l a[ ; kvksa dk vkSl r 52 gSA ; fn 14oha l a[ ; k 15ohal a[ ; k l s 11 de gS vkSj 16oha l a[ ; k l s 5 v f/ d gS] rks 15 ohavkSj 16oha l a[ ; k dk vkSl r gS%(a) 48.5 (b) 48(c) 47.5 (d) 49

47. Pipes A and B can fill a tank in 6 hours and 9 hours respectivelyand pipe C can empty the full tank in 12 hours. If all three pipesare opened together when a tank is empty, in how many hourswill 35% of the tank be filled?i kbi A vkSj B Øe' k% 6 ?kaVs vkSj 9 ?kaVs esa , d VSad Hkj l drs

gSa vkSj i kbi C 12 ?kaVs esa i wjk VSad • kyh dj l drk gSA ; fn VSad• kyh gksus i j rhuksa i kbi , d l kFk • ksys t krs gSa] rks fdrus ?kaVs esa35» VSad Hkjk t k l dsxk\(a) 1.9 (b) 1.6(c) 1.1 (d) 1.8

48. A boat can go 30 km downstream and 24 km upstream in 2hours 27 minutes. Also, it can go 20 Ion downstream and 8 kmupstream in 74 minutes. What is the speed of the boat in stillwater in km/h?, d uko 30 fdeh / kjk ds vuqdwy vkSj 24 fdeh / kjk ds i zfrdwy2 ?kaVs 27 feuV esa t k l drh gSA l kFk gh] ; g 74 feuV esa 20 fdeh/ kjk ds vuqdwy vkSj 8 fdeh èkkjk ds i zfrdwy t k l drk gSAfdeh@?kaVk esa vHkh Hkh i kuh esa uko dh xfr D; k gS\(a) 22 (b) 18(c) 20 (d) 24

49. The price of sugar has decreased by 15 %. By what percentagecan a person increase the consumption so that there is no changein the expenditure?phuh dh dher esa 15» dh deh vkbZ gSA dksbZ O; fDr fdrus çfr' krmi Hkksx c<+k l drk gS rkfd O; ; esa dksbZ i fjorZu u gks\

(a)300 %23 (b)

50 %3

(c)20 %3 (d)

300 %17

50. 5 cubes, each of edge 4 cm, are joined end to end. What is thetotal surface area of the resulting cuboid?5 ?kuks] çR; sd fdukjs 4 l seh] var l s var rd t qM+s gq, gSaA i fj .kkeh ?kukHkdk dqy {ks=ki Qy D; k gS\(a) 486cm2 (b) 526cm2

(c) 352cm2 (d) 720cm2


eff of A : B : C – 4 : 5 : 6 = 15(A+ B + C) day = 12total work = 12 × 15

A's work in = 12 15

4

= 45

2. Ans:– (d)

34 63 = 34

2 x3

2168 = x

x = 273. Ans:– (c)

Factor of 88 = 11 ×8Divisible by 8Check Last 3 – digit

y968 , y = 2

Gaurav Sir

Gaurav Sir597

Divisible by 11, 4 + 4 + 9 = x + y+6x=9x+2y = 9 + 2 × 2 = 13

4. Ans:– (d)A : B = 140 : 100= 7 : 5

27 × 100 = 28

47 %

5. Ans:– (a)

D = 60 80

20

×860

D = 32

T = DS =

3260

right time

3260 –

1560 =

1760 hr

= 17 min.6. Ans:– (b)

A

B C

D60

E

building 10m

Tower

x

10

tan = 23

tan =ABBC =

10BC =

23

BC = 15AD = 15Now,

tan 60 = DEAD

3 = 15x

x = 15 3

height of tower = 10 + 15 3

= 10 + 15 × 1.73= 35.95= 36 m

7. Ans:– (c)

P = 20,000 half yearlyr = 10% r = 5%T = 15 month T = 2.5 h. yearI 1000II 1000 + 50III 500 + 25 + 25 + 1.252601.25Now,

2601.2520,000 × 100 = 13.0%

8. Ans:– (d)Mean height = 114.7cm

9. Ans:– (a)

A

B

40P

O

APB = 40 AOB= 180–40 = 140

In OABOA = OB

So, OAB= OBA = 2010. Ans:– (d)

A – 6 318

2B – 9

(3 + 2) unit – 2 hr5 × 3 = 15 unit – 6 hrNow,15 + 3 7 hr ( A has started)

11. Ans:– (b)

=Labour exp.Totalexp.

× 100

=108360 × 100 = 30%

12. Ans:– (c)

3672 × 100 = 50%

13. Ans:– (d)

A

B C15

18 12

Q

P R

Gaurav Sir

598Gaurav Sir

ar (A BC)ar (PQR) =

2

2

(BC)(PR)

94 = 2

15 15( )PR

(PR)2 =15 15 4

9

PR = 15 2

3

= 10 cm

14. Ans:– (c)54% passed in science46% fail in science42% fail in maths

Science Maths

14 32 10

Total fail % = 56%passed in both = 100–56= 44%

15. Ans:– (b)

12% 10%33440015000×2

3600 30003344344 256:

600 = 15000256 = 6400

16. Ans:– (d)

D

O

A

C

B5AC=8 ; AO = 4 AOB(AB)2 = (AO)2 + (OB)2

(5)2 = 42 + OB2

OB = 3Diag. BD = 6

area of rhombus =12 × D1 × D2

= 12 × 8 × 6

= 2417. Ans:– (d)

A = 100900 × 100 = 11

19 %

B = 1001100 × 100 = 9

111 %

D = 1501050 ×100 –

507 = 7

17 %

College D is answer.18. Ans:– (b)

Median height = 100 – 11519. Ans:– (d)

I : II – 4 : 5(4 + 5) × HCF9 × 16 = 144

20. Ans:– (b)

445 ÷

37 of 7 +

45 ×

310 –

105

245 ÷

37 × 7 +

45 ×

310 –

15

245 ×

13 +

625 –

15

85 +

125 =

4125

21. Ans:– (d)LCM of 15, 18, 24 = 360Now,360 n + 8n = 1 368 not divisible by 13n = 2 = 728 divisible by 13sum of digit 7 + 2 + 8 = 17

22. Ans:– (a)CP = 10075% = 120

100% = 12075 ×100

= 160 = MPCP = 100 × 4.6 = 460MP = 160 × 4.6 =736

23. Ans:– (d)x3 + y3 + z3 – 3xyz = 0 a + b + c = 0x – 5 + x – 6 + x – 7 = 03x = 18x = 6

24. Ans:– (b)

Gaurav Sir

Gaurav Sir599

CP SP

100 123

100

:×77 ×77

×12377

×123:

CP SP

7700 9471:12300 9471:20000 18942

loss = 1058

20,000 × 100 = 5.29% (Loss)

25. Ans:– (a)50 studentgirls = 40% of 50 = 20boys = 30ratio g : b = 2 : 3

boys62

girls58

diff 4

3 = 225 , 2 = 1

35

3: 22 32 :15 5

4

Now, 58 + 2 25

60.426. Ans:– (b)

150+ 150 + 150 150

100

= 525

Now, 525–20–525 20

100

= 400%

27. Ans:– (d)

2 22

2 2

Sin 24 Sin 66sin 61 cos61sin 29

cos 24 cos 66

sin = cos (90– )

cos = sin (90– )

= 2 2

2 22 2

sin 24 cos 24sin 61 cos 61

cos 24 sin 24

= 1 11

sin2 + cos2 =1

= 2

28. Ans:– (c)tan x = cot (45 + 2x)x = 90 – (45 + 2x)x = 90 –45–2x3x = 45x = 15

29. Ans:– (b)

100

80 20

11 : 13 : 15 = 39

8020 1139

×87750100

= 3735030. Ans:– (b)

Avg. = Totalgirlin5 college

Totalcollege

= 2800

5 = 560

31. Ans:– (c)

D

B

E

C

A

50

O

BOC = 90 – 2A

= 6532. Ans:– (c)

100 × 80

100 × 90

100 ×85

100 =61.2%

100 – 61.2 = 38.8%33. Ans:– (d)

Mean = ab

= 10.8 4.8

= 7.2

third proportional = 2b

a

4 42

= 8

Sum = 7.2+8 = 15.2

Gaurav Sir

600Gaurav Sir

34. Ans:– (d)1354.24 = 36.8

35. Ans:– (d)

x + 1x = 5

x3 + 3

1x = (5)3 –3(5)

= 11036. Ans:– (c)

1480 × 100 = 17.5%

37. Ans:– (a)

10

24

26

3.5

1 1 22 7 710 242 2 7 2 2

120 – 19.25 = 100.75 cm2

38. Ans:– (c)B : G3000 280015 : 14

39. Ans:– (b)Puta = 6, b = 2then (a + b)2 –ab64–12 = 52

40. Ans:– (c)3 3

2 2

(675) (325)(67.5) (32.5) – 67.5 32.5

[ a3 + b3 = (a + b) (a2+b2–ab]

2 2

2 2

675 325) (675 325 675 325)(67.5) (32.5) – 67.5 32.5

= (675 + 325) × 100= 1000 × 100 = 100, 000

41. Ans:– (b)

5x 3x

4x

tan = 34

xx

4x = 5

5x = 54 × 5 = 6.25

42. Ans:– (b)

934 ÷

1 1 1 32 4 – (2 )

6 3 2 4

= 39 13 13 5 3–4 6 3 2 4

= 39 13 134 6 12

= 394 ×

1239

= 343. Ans:– (c)

AB

D

140 C

ABC = 180–140 = 40 (cyclic quad.)

ACB = 90

In ABC

ABC+ ACB+ BAC = 180

40 + 90 + BAC = 180

BAC = 5044. Ans:– (b)

162 : 1989 : 11

45. Ans:– (a)

24 8 102

=

6 164

P

P = 4046. Ans:– (b)

Gaurav Sir

Gaurav Sir601

16 × 48 – 7 × 45 – 6 × 52768 – 315 – 312 = 14114th 15th 16th

x–11 xx–163x = 168x = 56Avg of 15th and 16th = x – 8 = 56 – 8 = 48

47. Ans:– (d)

A – 6 636 4

–3B – 9C – 12

Total eff = 6 + 4 – 3 = 7

= 367 ×

35100

= 1.848. Ans:– (a)

30x y +

24x y =

4920 ----(1)

20x y +

8x y =

3730 -----(2)

Solve (1) & (2)y = 22

49. Ans:– (d)

3 320 17

= 300 %17

50. Ans:– (c)l = 4 + 4 + 4 + 4 + 4 = 20 cmb = 4 cmh = 4 cm 2 (lb + ph + hl)= 2 (80 + 16 + 80)= 2 (176) = 352 cm2

CPO TIER – I, 2018TEST TIME:– 3:00PM – 5:00PM

TEST DATE 12/03/20191. Pipes A and B can fill a tank in 6 hours and 8 hours respectively

and pipe C can empty the full tank in 12 hours. All three pipesare opened together. but pipe A is closed after 3 hours. In howmany hours will the remaining part of the tank be filled?i kbi A vkSj B Øe' k% 6 ?kaVs vkSj 8 ?kaVs esa , d VSad Hkj l drs

gSa vkSj i kbi C, 12 ?kaVs esa i wjk VSad • kyh dj l drk gSA rhuksa i kbi, d l kFk • ksys x, gSaA ysfdu i kbi A dks 3 ?kaVs ds ckn can djfn; k t krk gSA VSad ds ' ks"k Hkkx dks fdrus ?kaVs esa Hkjk t k, xk\(a) 10 (b) 9(c) 11 (d) 12

2. A sum of Rs.12,800 is invested partly at 15% per annum andthe remaining at 12% per annum simple interest. If the totalinterest at the end of 3 years is Rs. 5085. then how muchmoney was invested at 15% per annum?#i ; s 12]800 dh jkf' k vkaf' kd : i l s 15» çfr o"kZ vkSj ' ks"k 12»çfro"kZ l k/ kj.k C; kt i j fuos' k dh t krh gSA ; fn 3 o"kZ ds varesa dqy C; kt #i ; s 5085 fi Qj çfr o"kZ 15» i j fdruk i Sl k fuos' kfd; k x; k Fkk\(a) Rs. 5,300 (b) Rs. 7,500(c) Rs. 5,800 (d) Rs. 5,200

3. A ladder leaning against a wall makes an angle with the horizon-

tal ground such that. 12sin13

If the foot of the ladder is 7.5m

from the wall, then what is the height of the point where thetop of the ladder touches the wall?, d nhokj i j >qdko okyh l h<+h {kSfrt t ehu ds l kFk , d dks.k

cukrh gS t Sl sA 12sin13

; fn l h<+h dk i Sj nhokj l s 7-5 ehVj gS]

rks ml fcanq dh ÅapkbZ D; k gS t gka l h<+h dk ' kh"kZ nhokj dks NwrkgS\(a) 8m (b) 15m(c) 18m (d) 12m

4. Let ABC ~ PQR andar( ABC) 9ar( PQR) 16

if AB = 12cm, BC =

6cm and AC = 9cm. then PR is equal to:ABC ~ PQR vkSj AB = 12cm, BC = 6cm vkSj AC = 9cm rcPR cjkcj gS%(a) 12cm (b) 16cm(c) 8cm (d) 9cm

5. Degree of Persons using different Transports (Total 1080 persons).

fofHkUu i fjogu dk mi ; ksx dj O; fDr; ksa dh fMxzh

(dqy 1080 O; fDr)ATrain Scooter Car Cycle Bus

Train

Scooter

Car

Cycle

Bus

In the given pie-chart, how many persons are using train toreach their workplace?fn, x, i kbZ&pkVZ esa] fdrus O; fDr v i us dk; ZLFky rd i gqapus dsfy, Vªsu dk mi ; ksx dj jgs gSa\(a) 360 (b) 380(c) 400 (d) 320

Gaurav Sir

602Gaurav Sir

6. The square root of which of the following is a rational number?fuEufyf• r esa l s fdl dh oxZewy , d i fjes; l a[ ; k gS\(a) 1489.96 (b) 2460.14(c) 5823.82 (d) 22504.9

7. Two pipes A and B can fill an empty tank in 8 hours and 12hours respectively. They are opened alternately for 1 houreach, starting with pipe A first. In how many hours will theempty tank be filled?nks i kbi A vkSj B Øe' k% 8 ?kaVs vkSj 12 ?kaVs esa , d • kyh VSadHkj l drs gSaA os oSdfYi d : i l s 1 ?kaVs ds fy, • ksys t krs gSa] i gysi kbi A l s ' kq: dj rs gSaA • kyh Vadh fdrus ?kaVs esa Hkjsxh\

(a) 9 (b)194

(c)192 (d)

193

8. Two numbers are in the ratio 4 : 7. If their HCF is 26. then thesum of these two numbers will be:nks l a[ ; k, ¡ 4% 7 ds vuqi kr esa gSaA ; fn mudh HCF 26 gSA rks bunks l a[ ; kvksa dk ; ksx gksxk%(a) 286 (b) 338(c) 312 (d) 364

9. If a3 + b3 = 5824 and a + b = 28, then (a–b)2 + ab is equal to:; fn a3 + b3 = 5824 vkSj a + b = 28 gS] rks (a – b)2 + ab bl ds cjkcjgS%(a) 208 (b) 180(c) 236 (d) 152

10. A sum of Rs.18,000 is invested for 16 months at 8% per annumcompounded half-yearly. What is the percentage gain at the endof 16 months. to the nearest whole number?18]000 #i ; s dh jkf' k dk fuos' k 16 efgus ds fy, 8» çfro"kZ dsfgl kc l s fd; k t krk gSA 16 eghus ds var esa fudVre i w.kZ l a[ ; kesa çfr' kr ykHk D; k gS\(a) 10% (b) 11%(c) 12% (d) 9%

11. The price of sugar is decreased by 10%. By what percent can aperson increase the consumption so that there is no change inthe expenditure?phuh dh dher esa 10» dh deh gqbZ gSA fdl çfr ' kr l s O; fDrmi Hkksx c<+k l drk gS rkfd O; ; esa dksbZ i fjorZu u gks\

(a)100 %

9 (b)100 %11

(c)109 %11 (d) 10%

12. The sides of a triangle are 8cm, 15cm, and 17 cm respectively. Ateach of its vertices, circles of radius 3.5cm are drawn. What is thearea of the triangle excluding the portion covered by the sectors of

the circles 227

?

, d f=kHkqt dh Hkqt k, ¡ Øe' k% 8 l seh] 15 l seh vkSj 17 l seh gSaAbl ds çR; sd dksus i j f=kT; k 3-5 l seh ds oÙk • haps x, gSaA l dZyds {ks=kksa }kjk doj fd, x, fgLl s dks NksM+dj f=kdks.k dk {ks=k

D; k 227

gS\

(a) 21.5cm2 (b) 47cm2

(c) 23.5cm2 (d) 40.75cm2

13. Number of students enroll in different yearsfofHkUu o"kks± esa ukekadu djus okys Nk=kksa dh l a[ ; k

In the given bar graph, the number of students enrolled in insti-tute B in the year 2016 is what percentage of students enrolledin institute A in 2016?fn, x, ckj xzki Q esa] o"kZ 2016 esa l aLFkku B esa ukekafdr Nk=kksa dhl a[ ; k 2016 esa l aLFkku A esa i at hÑr Nk=kksa dk fdruk çfr' kr gS\

(a)250 %

3 (b) 85%

(c) 120% (d)325 %6

14. The degrees of people using different transport(Total 1080 People).

fofHkUu i fjogu dk mi ; ksx dj yksxksa dh fMxzh(dqy 1080 yksx)A

Train

Train Scooter

Scooter Cycle Cycle

Car

Car Bus

Bus

In the given pie chart, what is the ratio of the number of peoplewho use train or car to reach their office to the number ofpeople who use other means of transport to reach their office.fn, x, i kbZ pkVZ esa] v i us dk; kZy; rd i gqapus ds fy, Vªsu ; k dkjdk mi ; ksx djus okyksa dh l a[ ; k dk vuqi kr D; k gS] t ks mudsdk; kZy; rd i gqapus ds fy, i fjogu ds vU; l k/ uksa dk mi ; ksxdjrs gSaA(a) 3 : 5 (b) 4 : 5(c) 5 : 6 (d) 5 : 3

15. A shopkeeper sold two articles for `9831 each. On one hegained 13% and on the other, he lost 13%. What is the overallpercentage gain or loss?, d nqdkunkj us nks oLrq csps ; fn i zR; sd dk ewY; 9831 #i ; s gSAft l esa i gyh oLrq i j ml s 13» dk ykHk vkSj nwl js oLrq i j 13»dk uqdl ku gqvkA rks dqy ; k gkfu i zfr ' kr D; k gSA(a) 1.69% Gain/ykHk (b) 6.5% Gain/ykHk(c) 6.5% Loss/gkfu (d) 1.69% Loss/gkfu

Gaurav Sir

Gaurav Sir603

16. The radius of a cylinder is increased by 120% and its height isdecreased by 40%. What is the percentage increase in its volume?, d fl ysaMj dh f=kT; k 120» c<+ t krh gS vkSj bl dh ÅapkbZ 40»rd de gks t krh gSA bl dh ek=kk esa çfr' kr of¼ D; k gS\(a) 180.6% (b) 190.4%(c) 175.4% (d) 212.8%

17. The income of A is 24% more than the income of B. By whatpercent is the income of B less than the income of A?A dh vk; B dh vk; l s 24» vf/ d gSA B dh vk; A dh vk;l s fdrus çfr' kr de gS\

(a)600 %31 (b)

150 %7

(c)600 %29 (d)

500 %31

18. The successive discount of 25%, 20% and 10% is equivelant toa single discount of:25»] 20» vkSj 10» dh Øfed NwV dh , d , dy NwV ds cjkcj gS%(a) 54% (b) 46%(c) 48% (d) 44%

19. From the top of a 12m high building, the angle of elevation ofthe top of a tower is 60° and the angle of depression of the foot

of the tower is, such that tan =34

What is the height of the

tower 3 1.73 ?

, d 12 ehVj Åaph bekjr ds Åi j l s] , d VkWoj ds ' kh"kZ dk dks.k60° gS vkSj VkWoj ds i Sj ds vol kn dk dks.k gS] t Sl s fd tan

=34

VkWoj dh ÅapkbZ fdruh gS\

(a) 37.95m (b) 39.68m(c) 41.41m (d) 36.22m

20. 5 2 3 4 15 2 – 3 3 96 3 4 5 2

(a) 7 (b)223

(c)447 (d)

436


In the given bar graph, the percentage decrease in the number ofstudents in Institute A in 2016 is what percent of students in2015.fn, x, ckj xzki Q esa] l aLFkku A esa Nk=kksa dh l a[ ; k esa 2016 esaçfr' kr dh deh 2015 esa Nk=kksa dk çfr' kr gSA(a) 39.5% (b) 37.5%(c) 40.5% (d) 35.5%

22. The average of 18 numbers is 52. The average of the first 8numbers is 62 and the average of the next 7 numbers is 45. If thenumber is 6 less than the 17th number and the 17th number is onemore than the 18th number. then what is the average of the 16th

and 18th numbers?18 l a[ ; kvksa dk vkSl r 52 gSA i gys 8 l a[ ; kvksa dk vkSl r 62 gS vkSjvxyh 7 l a[ ; kvksa dk vkSl r 45 gSA ; fn l a[ ; k 17oha l a[ ; k l s 6 degS vkSj 17oha l a[ ; k 18oha l a[ ; k l s , d vf/ d gSA fi Qj 16oha vkSj18oha l a[ ; kvksa dk vkSl r D; k gS\(a) 39.5 (b) 40.5(c) 40 (d) 39


In the given bar graph, what is the ratio of the total number ofstudents from 2016 to 2018 in institute A to the total number ofstudents from 2016 to 2018 in institute B.fn, x, ckj xzki Q esa] l aLFkku A esa 2016 l s 2018 rd ds dqy Nk=kksadh l a[ ; k vkSj 2016 esa l aLFkku B dh dqy l a[ ; k 2018 l s Nk=kksadh l a[ ; k dk vuqi kr D; k gSA(a) 21 : 23 (b) 19 : 20(c) 20 : 19 (d) 23 : 21

24. One side of a rhombus is 13cm and one of its diagonals is 24cm.What is the area of the rhombus?, d l edks.k dk , d Hkqt k 13 l seh vkSj bl dk , d fod.kZ 24 l sehgSA l eprqHkqZt dk {ks=ki Qy D; k gS\(a) 120cm2 (b) 130cm2

(c) 156cm2 (d) 312cm2

25. The value of 1 1 5 2 3 43 – 2 – – –5 2 6 5 10 15

is:

dk eku gS%

(a)65 (b)

1110

Gaurav Sir

604Gaurav Sir

(c)9

10 (d)135

26. What is the sum of the digits of the least number, which whendivided by 12, 16 and 54. leaves the same remainder 7 in eachcase, and is also completely divisible by 13?

l cl s NksVh l a[ ; k ds vadksa dk ; ksx D; k gS] t ks 12] 16 vkSj 54l s foHkkft r gksus i jA çR; sd ekeys esa l eku ' ks"k 7 dks NksM+ nsrkgS] vkSj 13 l s i wjh rjg l s foHkkT; Hkh gS\

(a) 36 (b) 9

(c) 16 (d) 27

27. A shopkeeper marks his good at a price such that afier giving adiscount of 25%, the gains 20%. If the marked price of the articleis Rs. 736, what is the cost price of the article?

, d nqdkunkj vi us ewY; dks , sl s vafdr djrk gS t Sl s 25» dh NwV nsusds ckn ykHk 20»A ; fn oLrq dk fpfÉr ewY; 736 # gS] rks oLrq dkØ; ewY; D; k gS\

(a) Rs. 460 (b) Rs. 450

(c) Rs. 440 (d) Rs. 455

28. 6 cubes. each of edge 4 cm. are joined end to end. What is thetotal surface area of the resulting cuboid?

6 ?ku ds çR; sd fdukjs i j 4 l seh Nksj l s var rd t qM+ t krs gSaAi fj.kkeLo: i ?ku dh dqy l rg {ks=k D; k gS\

(a) 208cm2 (b) 496cm2

(c) 576cm2 (d) 416cm2

29. In ABC, C = 30°. If the bisectors of the angle B and angle Cmeet at a point O in the interior of the triantgle, then BOC isequal to:

ABC, C = 30° ; fn dks.k B vkSj dks.k C ds f}Hkkt d f=kHkqtds vkarfjd fcanq O i j feyrs gSa] rks BOC cjkcj gS%

(a) 90° (b) 120°

(c) 75° (d) 105°

30. The value of sin30 – cos60 cot 45cos30 – tan45 sin90

is equal to:

sin 30 – cos60 cot45cos30 – tan 45 sin90

ds cjkcj gS%

(a)3

4(b)

2 33

(c)3

2(d)

32

31. The efficiency of A, B and C are in the ratio 5 : 6 : 9. Workingtogether, they can complete a work in 18 days. In how manydays can B alone complete 25% of that work?A, B vkSj C dh n{krk 5 : 6 : 9 ds vuqi kr esa gSA , d l kFk dkedjus i j ] os 18 fnuksa esa , d dke i wjk dj l drs gSaA B vdsys fdrusfnuksa esa ml dke dk 25» i wjk dj l drk gS\(a) 18 (b) 10(c) 16 (d) 15

32.

In the given histogram, what is the percentage of students whoseheight is in the class interval 165 – 170?fn, x, fgLVksxzke esa] mu Nk=kksa dk çfr' kr D; k gS ft udh Å¡pkbZd{kk varjky 165 – 170 esa gS\(a) 18% (b) 25%(c) 20% (d) 15%

33. The of persons using different transports(Total 1080 Persons).

vyx&vyx Vªkal i ksVZ dk mi ; ksx djus okys O; fÙkQ(dqy 1080 O; fÙkQ)A

Train Scooter

Cycle

Car

Bus

In the given pie-chart, the number of persons using a car is whatpercentage of persons using a scooter?fn, x, i kbZ&pkVZ esa] dkj dk mi ; ksx djus okys O; fDr; ksa dh l a[ ; kLdwVj dk mi ; ksx djus okys O; fDr; ksa dk çfr' kr D; k gS\(a) 75% (b) 50%(c) 80% (d) 60%

34. ABCD is a cyclic quadrilateral such that AB is the diameter ofthe circle circumscribing it and ADC = 145°. What is themeasure of BAC?ABCD , d pØh; prqHkZqt gS] t Sl s AB bl i fjoÙk dk O; kl gS vkSjADC = 145° gSA BAC dk eki D; k gS\(a) 50° (b) 35°(c) 55° (d) 40°

35. 36 persons working 8 hours a day can do 3 units of work in 12days. How many persons are required to do 5 units of thatwork in 16 days, if they work for 6 hours a day?fnu esa 8 ?kaVs dke djus okys 36 O; fÙkQ 12 fnuksa esa 3 ; wfuV dkedj l drs gSaA 16 fnuksa esa ml dke dh 5 bdkb; ksa dks djus ds fy,fdrus O; fÙkQ; ksa dh vko' ; drk gksrh gS] vxj os fnu esa 6 ?kaVs dkedjrs gSa\(a) 60 (b) 55(c) 45 (d) 50

36. If a train runs with the speed of 48km/h, it reaches its destina-tion late by 12 minutes. However, if its speed is 64km/h it is

Gaurav Sir

694Gaurav Sir

CHSL (10 + 2), 2018TEST TIME:– 4:00PM – 5:00PM

TEST DATE 01/07/20191- The area of a field in the shape of a hexagon is 22400 3m .

What will be the cost of fencing it at Rs. 18.50 per metre?

, d "kV~Hkqt ds vkdkj dk , d {ks=k gSA ft l dk {ks=ki Qy 22400 3m

gSaA bl es ckM+ yxkus dh ykxr D; k gksxhA ; fn ckM+ yxkus dk ewY;18-50 : i ; s çfr ehVj gSaA(a) Rs 4440 (b) Rs 5920(c) Rs 5550 (d) Rs 5180

2- In a circle with centre O, AD is a diameter and AC is achord. B is a point on AC, such that OB = 5cm and OBA= 60°. If DOC = 60°, then what is the length of BC?dsaæ O ds l kFk , d oÙk esa] AD , d O; kl gS vkSj AC , d t hokgSA B, AC i j , d fcanq gS] t Sl s fd OB = 5cm vkSj OBA = 60°; fn DOC = 60° rks BC dh yackbZ fdruh gS\

(a) 4cm (b) 3 5cm

(c) 5 3cm (d) 5cm3- The given Bar Graph presents the number of different types

of vehicles (in lakhs) exported by a company during 2014and 2015.nh xbZ ckj xzki Q 2014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZrfd, x, fofHkUu çdkj ds okguksa dh l a[ ; k (yk• ksa esa) çLrqrdjrh gSANumber of different type of vehicles (in lakhs) exported bya company during 2014 and 20152014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZr fd, x, fofHkUuçdkj ds okguksa (yk• ksa esa) dh l a[ ; k

60

50

40

30

20

10

0A B C D E

2014 2015

2735 33

4340

4555

50

57

Type of vehicles

25

The total number of type B, D and E vehicles exported in2014 is what percentage of the total number of type A, C, Dand E vehicles exported in 2015 (correct to one decimalplace)?

2014 esa fu; kZr fd, x, çdkj B, D vkSj E okguksa dh dqy l a[ ; k2015 esa fu; kZr fd, x, çdkj A, C, D vkSj E okguksa dh dqyl a[ ; k dk çfr ' kr D; k gS ( , d n' keyo LFkku i j l gh) \

(a) 62.4% (b) 61.6%

(c) 63.8% (d) 64.2%

4- A and B can complete a task in 25 days. B alone can

complete 133 %3

of the same task in 15 days. In how many

days can A alone complete 4 th15

of the same task?

A vkSj B , d dk; Z dks 25 fnuksa esa i wjk dj l drs gSaA B vdsys

, d gh dk; Z 133 %3

dks 15 fnuksa esa i wjk dj l drk gSA A vdsys

gh dk; Z ds 4 th

15dks fdrus fnuksa esa i wjk dj l drk gS\

(a) 15 (b) 10

(c) 18 (d) 12

5- Tangents AB and AC are drawn to a circle from a point A,such that BAC = 40° and BPC = 70º. A chord CP isdrawn parallel to BA. The measure of CBP is:

Li ' kZjs• k AB vkSj AC dks fcanq A l s oÙk dh vksj • hapk t krkgS] t Sl s fd BAC = 40° vkSj BPC = 70º , d dkWMZ CP BAds l ekukarj • hapk t krk gSA CBP dk eki gS%

(a) 55° (b) 45°

(c) 35° (d) 40°

6- The marked price of an article is Rs 600. After allowing adiscount of 25% on the marked price, there was a loss ofRs 30. The loss percentage is:

, d ys• dh fpfÉr dher 600 #i ; s gSA fpfÉr ewY; i j 25»dh NwV dh vuqefr nsus ds ckn] 30 #i ; s dk uqdl ku gqvkAuqdl ku çfr ' kr gS%

(a) 7.50% (b) 7.25%

(c) 6.25% (d) 6.50%

CHSL (10 + 2)

Gaurav Sir

Gaurav Sir

695

7- What is the difference between the compound interest,when interest is compounded 5-monthly, and the simple

interest on a sum of Rs 12,000 for 114

years at 12% per

annum?

pØof¼ C; kt ds chp varj D; k gS] t c pØof¼ C; kt 5&ekfl d

gS] vkSj 12]000 #i ; s dh vkSl r C; kt i j 114

l ky ds fy, 12»

çfr o"kZ gS\

(a) Rs 90 (b) Rs 91.50

(c) Rs 93 (d) Rs 92.50

8- A man travels a certain distance at 12km/h and returns to thestarting point at 9km/h. The total time taken by him for the

entire journey is 123

hours. The total distance (in km) covered

by him is:

, d vkneh 12 fdeh@?kaVk i j , d fuf' pr nwjh dh ; k=kk djrk gSvkSj 9 fdeh@?kaVk l s ' kq#vkrh fcanq i j ykSVrk gSA i wjh ; k=kk esa muds

}kjk fy; k x; k dqy l e; 123

?kaVs gSA ml ds }kjk ; k=kk dh xbZ dqy

nwjh ( fdeh esa) gS%

(a) 25 (b) 12

(c) 24 (d) 28

9- cot(1– sin )(sec tan )

is equal to:/ds cjkcj gS%

(a) cosec (b) sin(c) sec (d) 1

10- There are three numbers. If the average of any two of themis added to the third number, the sums obtained are 177,163 and 138, What is the average of the largest and thesmallest of the given numbers?

rhu uacj gSaA ; fn muesa l s fdl h nks dk vkSl r rhl js uacj esa t ksM+kt krk gS] rks çkIr jde 177] 163 vkSj 138 gS] nh xbZ l a[ ; kvksaesa l s l cl s cM+h vkSj l cl s NksVh vkSl r D; k gS\

(a) 76 (b) 79

(c) 81 (d) 67

11- The given Bar Graph presents the number of different typesof vehicles (in lakhs) exported by a company during 2014and 2015.

nh xbZ ckj xzki Q 2014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZrfd, x, fofHkUu çdkj ds okguksa dh l a[ ; k (yk• ksa esa) çLrqrdjrh gSA

60

50

40

30

20

10

0A B C D E

2014 2015

2735 33

4340

4555

50

57

Type of vehicles

25

What is the ratio of the total number of type A and Cvehicles exported in 2014 to the total number of type B andE vehicles exported in 2015?

2015 esa fu; kZr fd, x, çdkj B vkSj E okguksa dh dqy l a[ ; k2014 esa fu; kZr fd, x, çdkj A vkSj C okguksa dh dqy l a[ ; kdk vuqi kr D; k gS\

(a) 8 : 11 (b) 7 : 9

(c) 2 : 3 (d) 5 : 7

12- If x + y = 7 and xy = 10, then the value of 3 3

1 1x y

is:

; fn x + y = 7 vkSj xy = 10 gS] rks 3 3

1 1x y

dk eku gS%

(a) 0.543 (b) 0.131

(c) 0.133 (d) 0.453

13- A man spends 72% of his income. If his income increasesby 28% and his expenditure increases by 25%, then whatis the percentage increase or decrease in his savings(correct to one decimal place)?

, d vkneh v i uh vk; dk 72» • pZ djrk gSA ; fn ml dh vk;esa 28» dh of¼ gksrh gS vkSj ml ds O; ; esa 25» dh of¼ gksrhgS] rks ml dh cpr esa çfr' kr of¼ ; k deh D; k gS ( , d n' keyord l gh) \

(a) 26.9% decrease (b) 38.4% increase

(c) 35.7% increase (d) 26.3% decrease

14- The value of

3 3 3 4 5 2 5 2 2 5of of – of4 4 4 3 2 5 4 3 3 6

is:/dk eku gS%

(a)143 (b)

419

Gaurav Sir

696Gaurav Sir

(c)223 (d)

509

15- If the nine-digit number 43x1145y2 is divisible by 88, thenthe value of (3x – 2y), forl the smallest value of y, is:

; fn ukS&vadh; l a[ ; k 43x1145y2, 88 l s foHkkT; gS] rks (3x – 2y)dk eku] l cl s NksVs eku y, dk gS%

(a) 22 (b) 18

(c) 20 (d) 9

16- A sum of Rs 4,360 was to be divided among A, B, C and Din the ratio of 3 : 4 : 5 : 8, but it was divided in the ratio of1 1 1 1: : :3 4 5 8 by mistake. As a result:

4]360 #i ; s dh jkf' k A, B, C vkSj D ds chp 3% 4% 5% 8 ds

vuqi kr esa foHkkft r dh t kuh Fkh] ysfdu bl s xyrh l s 1 1 1 1: : :3 4 5 8 ds

vuqi kr esa foHkkft r fd; k x; k FkkA

(a) A received Rs 956 more(b) B received Rs 318 more(c) D received Rs 1,144 less

(d) C received Rs 132 less

17- By selling 72 articles, a loss equal to the selling price of 8articles was incurred. What is the loss percentage?

72 ys• ksa dks cspus l s] 8 ys• ksa dh fcØh ewY; ds cjkcj uqdl kugqvk FkkA uqdl ku çfr ' kr D; k gS\

(a) 12% (b) 10%

(c)19 %9 (d)

111 %9

18- If 2cos2 – 5cos + 2 = 0, 0° < < 90°, then the value of(cosec + cot) is:

2cos2 – 5cos + 2 = 0, 0° < < 90° gSa rks (cosec + cot)dk eku gS%

(a)13 (b) 3

(c)13 (d) 2 3

19- If 8x2 + y2 – 12x – 4xy + 9 = 0, then the value of (14x – 5y) is:

; fn 8x2 + y2 – 12x – 4xy + 9 = 0, gS] rks (14x – 5y) dk eku gS%

(a) 9 (b) 6

(c) 5 (d) 3

20- The given Bar Graph presents the number of different typesof vehicles (in lakhs) exported by a company during 2014

and 2015.

nh xbZ ckj xzki Q 2014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZrfd, x, fofHkUu çdkj ds okguksa dh l a[ ; k (yk• ksa esa) çLrqrdjrh gSANumber of different type of vehicles (in lakhs) exported bya company during 2014 and 20152014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZr fd, x, fofHkUuçdkj ds okguksa (yk• ksa esa) dh l a[ ; k

60

50

40

30

20

10

0A B C D E

2014 2015

2735 33

4340

4555

50

57

Type of vehicles

25

Which type of vehicle showed 32% increase in export in2015 as compared to that in the previous year.

fdl çdkj ds okgu us fi Nys o"kZ dh rqyuk esa 2015 esa fu; kZresa 32» dh of¼ fn• kbZA

(a) B (b) A

(c) E (d) D

21- The sides AB and AC of ABC are produced to points Dand E, respectively. The bisectors of CBD and BCEmeet at P. If A = 72°, then the measure of P is:

ABC ds i {kksa AB vkSj AC dks Øe' k% D vkSj E dks bafxrfd; k t krk gSA CBD vkSj BCE ds f}Hkkt d P i j feyrs gSa]; fn A = 72° rks P dk eki gS%

(a) 36° (b) 45°

(c) 60° (d) 54°

22- If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the

value of 3 3 3x y z xyz is:

; fn x + y + z = 19, xyz = 216 vkSj xy + yz + zx = 114 gS] rks

3 3 3x y z xyz fuEu dk eku gS%

(a) 32 (b) 30

(c) 28 (d) 35

Gaurav Sir

Gaurav Sir

697

23- The value of 2 2tan13 tan37 tan45 tan53 tan77

2cosec 60 (cos 60 – 3cos60 2)

is:/dk eku gS%

(a) 2 (b) 1

(c)32 (d)

12

24- In ABC, D is a point on side AB such that BD = 2cm andDA = 3cm, E is a point on BC such that DE || AC, and AC =4cm. Then (Area of BDE) : (Area of trapezium ACED) is:

ABC esa] D, AB dh r j i Q , d fcanq gS BD = 2cm vkSj DA= 3cm, E, BC i j , d fcanq gS t Sl s fd DE || AC, vkSj AC = 4cml seh gSa rc (BDE dk {ks=k)% (Vªsi sft ; e ACED dk {ks=k) gS%

(a) 4 : 21 (b) 2 : 5

(c) 1 : 5 (d) 4 : 25

25- The given Bar Graph presents the number of different typesof vehicles (in lakhs) exported by a company during 2014and 2015.

nh xbZ ckj xzki Q 2014 vkSj 2015 ds nkSjku , d dai uh }kjk fu; kZrfd, x, fofHkUu çdkj ds okguksa dh l a[ ; k (yk• ksa esa) çLrqrdjrh gSA

60

50

40

30

20

10

0A B C D E

2014 2015

2735 33

4340

4555

50

57

Type of vehicles

25

The average number of type A, B and D vehicles exportedin 2015 was x% less than the number of type E vehiclesexported in 2014. What is the value of x?

2015 esa fu; kZr fd, x, çdkj A, B vkSj D okguksa dh vkSl r l a[ ; k2014 esa fu; kZr fd, x, E okguksa dh l a[ ; k dh rqyuk esa x% deFkhA x dk ewY; D; k gS\

(a) 18 (b) 24(c) 20 (d) 25


6 × 23 a 2400 34

a2 = 400×4

a= 40 cmPerimeter= 6 × 40 = 240 cmCost = 240 × 18.5 4440 Rs.

2. Ans:– (d)

A 3030 6060 60 D

O

BC60

ACD = 90ºOC = OD (radius)COD is equilateral triangleOCD = 60ºACO = 30º

In OABOB = 5 cm

so AB=10, OA= 5 3

BOC= 180–90–60 30So, OB = BCBC = 5 cm

3. Ans:– (d)

Total B, D, E in 2014

=120total A,C,D,E in 2015 = 187

= 120 100 64.2%187

4. Ans:– (a)

A B – 25B – 45

45×5 9

5

rd1B 153

total work 45 5

eff A = 9 – 5 = 4

time by A in th4 of work

15

45 5 4 15days4 15

Gaurav Sir

698Gaurav Sir

5. Ans:– (d)

B

P

C

A40

70

140

2070

BPC = CBA = 70º

B+ P=180 (lines are parallel)

PBA= 110

PBC=110–70=40°6. Ans:– (c)

SP = 600×75

100

450 Rs.C.P = 480

loss%30480 ×100 6.25%

7. Ans:– (b)

11 year 15months4

rate 12% P.A

12000600

600600

30301.530

1891.5SI=1800Diff= 91.5 `

8. Ans:– (c)

1236

349

173

73

total distance=36×2×13

24 km9. Ans:– (a)

c o ss in

1 s in(1 s in )c o s c o s

2

cos cossin

1 – s in

= 2cos cos cosecsin cos

10. Ans:– (a)

A B C 1772

A+B+2C= 354--------(1)A C B 163

2

A+C+2B=326----------(2)

Similarly

B+C+2A 276--------(3)

(1) + (2) + (3)

4A+4B+4C = 956A+B+C = 239C= 354–239 115B=326–239 87

A=276–239 37

Avg. of A & C = 115 37

2

152

2 76

11. Ans:– (b)

70 : 90= 7 : 9

12. Ans:– (c)

x+y = 7

xy=10x = 5, y = 2

y= 3 3

1 15 2

0.133

13. Ans:– (c)

E S25 x

2854 37

72 2818 7

317

::

7 – 3

Gaurav Sir

Gaurav Sir

699

3 54187 7

x = 28+547

28+7.7

35.7% inc.

14. Ans:– (d)

3 9 4 5 1 2 5–4 16 3 2 2 3 9

509

15. Ans:– (a)

43x1145y2

11×8=88 y=1 for smaller value43x1145124+x+1+5+2=3+1+4+112+x=9x= –3So,12+x–9=11x=83x–2y 22

16. Ans:– (c)

A B C D1 1 1 1: : :3 4 5 8

40 : 30 : 24 : 15 = 109) 404360

1600 : 1200: 960: 600

3 : 4 : 5 : 8 2028

4360654 : 872 1090 1744

D recieves= 1144 less17. Ans:– (b)

8 SP = 72CP–72 SP80 SP=72 CP

SP 9CP 10

loss = 1 100 10%

10

18. Ans:– (b)

22cos – 5cos 2 0cos x

2x2–5x+22x2–4x–x+2

2x(x–2)–1(x–2)(2x–1) (x–2)2x=1

x=12

cos =12

=602 1cos ec cot3 3

3 33

19. Ans:– (b)4x2+9–12x+4x2+y2–4xy=0(2x–3)2 + (2x–y)2 = 02x=32x=yx=3/2 y =3

14x–5y 14×3 – 5 32

21–15 6

20. Ans:– (a)

25 : 33

B vehicle in C = 825 × 100 32%

21. Ans:– (d)

72x 90 – 90 – 362

54

22. Ans:– (d)x2 + y2 + z2 +2 (xy + yz + zx)=361x2 + y2 + z2 +2 (114) = 361x2 + y2 + z2 361–228x2 + y2 + z2 = 133x3 + y3 + z3 –3xyz=(x + y + z)(x2 + y2 + z2–xy–yz–zx) (19) (133–114)=361x3 + y3 + z3 = 361+ 3×216

3 3 3x y z xyz 1225 35

23. Ans:– (d)

2 2tan13 tan 37 tan45 tan 53 tan77

2cosec 60 (cos 60 – 3cos60 2)

Gaurav Sir

700Gaurav Sir

14 1 12 – 3 23 4 2

18 1 3– 23 4 2

18 1 6 83 4

1 18 3 23 4

24. Ans:– (a)

A

B

D4

3

2

E C

BDE 4ABC 25

Trapizium area = 25–4 21ar. BDE : ar.trapezium ACED = 4 : 21

25. Ans:– (a)

35 33 553

123 413

E in 2014 509 100 18%50

CHSL (10 + 2), 2018TEST TIME:– 10:00AM – 11:00AM

TEST DATE 02/07/20191- If cos2 – sin2 – 3cos + 2 = 0, 0° < < 90°, then what is

the value of 4cosec + cot ?

; fn cos2 – sin2 – 3cos + 2 = 0, 0° < < 90°, gS rks4cosec + cot dk eku fdruk gS\

(a) 3 3 (b) 4

(c) 4 3 (d) 3

2- If a2 + 4b2 + 49c2 + 18 = 2(2b + 28c – a), then the value of (3a+ 2b + 7c) is:

; fn a2 + 4b2 + 49c2 + 18 = 2(2b + 28c – a), gS rks (3a + 2b +7c) dk eku D; k gS\

(a) 0 (b) 2

(c) 1 (d) 3

3- Two trains of same length are running on parallel tracks inthe same direction at 54km/h and 42km/h respectively. The

faster train passes the other train in 63 seconds. What isthe length (in metres) of each train?

l eku yackbZ okyh 2 Vsªusa l ekarj VSªd i j , d gh fn' kk esa Øe' k%54km/h vkSj 42km/h dh xfr l s py jgh gSA rst py jgh Vsªu nwl jhVsªu dks 63 l sdaM eas i kj dj t krh gSA i zR; sd Vsªu dh yackbZ (ehVjesa) fdruh gS\

(a) 90 (b) 81

(c) 105 (d) 210

4- Two concentric circles are of radii 15cm and 9cm. What isthe length of the chord of the larger circle which is tangentto the smaller circle?

nks l adsafær oÙkksa dh f=kT; k, a 15cm vkSj 9cm gSA cM+s oÙk dh t hokdh yackbZ fdruh gS t ks NksVs oÙk i j Li ' kZ js[ kk gSA

(a) 24cm (b) 18cm

(c) 20cm (d) 25cm

5- The simple interest on a certain sum for 132

years at 10%

per annum is Rs 2,940. What will be the compound interest

on the same sum for 122

years at the same rate when

interest is compounded yearly (nearest to a rupee)?

fdl h ewy/ u i j 10% i zfr o"kZ dh nj l s 132

o"kks± dk l k/ kj.k

C; kt #i ; s 2]940 gSA ml h ewy/ u i j ml h C; kt nj l s 122

o"kks±

dk pØof¼ C; kt fdruk gksxk t c C; kt okf"kZd l a; ksft r gksrkgS (#i ; s esa l fUudV)?(a) Rs 2,272 (b) Rs 2,227

(c) Rs 2,327 (d) Rs 2,372

6-(sec tan )(1– sin )

cosec (1 cos )(cosec – cot )

is equal to:/cjkcj gS%

(a) sin (b) sec

(c) cos (d) cosec

7- After allowing a discount of 10% on the marked price of anarticle, it is sold for Rs 360. Had the discount not beengiven, the profit would have been 25%. What is the costprice of the article?

fdl h oLrq ds vafdr ewY; i j 10» NwV nsus ds ckn bl s #i ; s 360esa cspk t krk gSA ; fn NwV ugha nh t krh rks 25» dk ykHk gksrk gSoLrq dk Ø; ewY; fdruk gS\

(a) Rs 350 (b) Rs. 360

(c) Rs 320 (d) Rs 325

Gaurav Sir

Gaurav Sir

701

8- The ratio of the incomes of A and B is 2 : 3 and that of theirexpenditures is 1 : 2. If 90% of B’s expenditure is equal tothe income of A, then what is the ratio of the savings of Aand B?

A vkSj B dh vk; dk vuqi kr 2 : 3 gS vkSj muds O; ; dk vuqi kr1 : 2 gSA ; fn B ds O; ; dk 90% A dh vk; ds cjkcj gS] rksA vkSj B dh cpr dk vuqi kr fdruk gS\

(a) 1 : 1 (b) 9 : 8

(c) 8 : 7 (d) 3 : 2

9- A person sold an article at a loss of 8%. Had he sold it at again of 10.5%, he would have received Rs 37 more. Whatis the cost price of the article?

, d O; fDr fdl h oLrq dks 8» dh gkfu i j csprk gSA ; fn ml usml oLrq dks 10-5» ds ykHk i j cspk gksrk] rks ml s #i ; s 37 v f/d feyrsA oLrq dk Ø; ewY; D; k gS\

(a) Rs 200 (b) Rs 250

(c) Rs 240 (d) Rs 210

10- The given Bar Graph presents the Target and Actualproduction of AC Machines (numbers in thousands) of afactory over five months.

fn, x, ckj xzki Q eSa fdl h i SQDVªh esa 5 o"kks± ds nkSjku AC e' khusads y{; mRi knu vksj okLrfod mRi knu dks n' kkZ; k x; k gSA

140

120

100

80

60

40

20

0 Jan Feb March April MayTarget Actual

6070

50

80

100 10090

80

120

30

The ratio of the combined target production of ACMachines in January and April to that of the combinedactual production of AC Machines in March and Aprilwas:

t uojh vkSj v i Szy eghus esa AC e' khuksa dk l a; qDr y{; mRi knuvkSj ekpZ , oa v i Szy eghus esa AC e' khuksa ds l a; qDr okLrfodmRi knu dk vuqi kr Fkk%

(a) 4 : 5 (b) 3 : 2

(c) 5 : 6 (d) 2 : 3

11- There are 90 students in a class, out of which 70% are fromvillage A and others are from village B. The average scoreof students from village B in a test is 20% more than thatfrom village A. If the average score of all the students is53, then what is the average score of the students fromvillage B?

fdl h d{kk esa 90 fo| k; kFkhZ gSA muesa l s 70» fo| k; kFkh xkao Al s gS vkSj ckdh xkao B l sA i jh{kk esa xkao B ds fo| k; kfFkZ; ksa dkvkSl r i zkIrkad xkao A ds fo| k; kfFkZ; ksa ds vkSl r i zkIrkad l s 20»vf/ d gSA ; fn l Hkh fo| k; kfFkZ; ksa dk vkSl r i zkIrkad 53 gS] rks xkaoB ds fo| k; kfFkZ; ksa dk vkSl r i zkIrkad fdruk gS\

(a) 54 (b) 60

(c) 64 (d) 50

12- A is 20% more than B, B is 25% more than C, C is 60% lessthan D and D is 20% more than E. Based on the aboveinformation, which of the following is true?

A, B l s 20» v f/ d gS rks B, C l s 25% v f/ d gSA bl h i zdkjC, D l s 60» de gS vkSj D, E l s 20» v f/ d gSA mQi j nh xbZt kudkjh ds vuql kj] fuEufyf[ kr esa l s dkSu l gh gS\

(a) D is 60% less than B. (b) E is 28% more than A.

(c) A is 40% less than D. (d) C is 24% less than A.

13- In ABC, D and E are the points on sides AB and AC,repectively, such that DE || BC. If DE : BC is 3 : 5, then (Areaof ADE): (Area of quadrilateral DECB) is:

ABC esa] Hkqt k, a AB vkSj AC i j Øe' k% D vkSj E fcanq bli zdkj gS dh DE || BC | ; fn DE : BC : 3 : 5 gS] rks ADE dk{ks=ki Qy) % (prqHkqZt DECB dk {ks=ki Qy) gS%

(a) 9 : 16 (b) 3 : 4

(c) 9 : 25 (d) 5 : 8

14- In ABC, AB = 7cm, BC = 24cm and AC = 25cm. If G is thecentroid of the triangle, then what is the length (in cm) ofBG?

ABC esa] AB = 7cm, BC = 24cm vkSj AC = 25cm. gSA ; fnG f=kHkqt dk dsaæd gS] rks BG dh yackbZ (cm esa) fdruh gS\

(a) 10 (b)183

(c)283 (d) 9

15- If 30 persons take 10 days to complete a certain workworking 8 hours a day, then 40 persons should work howmany hours a day so that the work is completed in 6 days?

Gaurav Sir

702Gaurav Sir

; fn 30 O; fDr i zfrfnu 8 ?kaVs dke djrs gq, fdl h dke dks 10fnuksa esa i wjk djrs gSa] rks 40 O; fDr; ksa dks i zfrfnu fdrus ?kaVs dkedjuk gksxk rkfd os ml s 6 fnuksa esa i wjk dj ys\

(a) 6 (b) 10

(c) 8 (d) 12

16- The volume of a right circular cone is 924cm3. If its heightis 18cm, then the area of its base (in cm2) is:

fdl h yac oÙkh; ' kadq dk vk; ru 924cm3 gSA ; fn bl dh yackbZ18cm gS] rks bl ds vk/ kj dk {ks=ki Qy (cm2 esa) fdruk gksxk\

(a) 154 (b) 132

(c) 176 (d) 198


fn, x, naM vkjs[ k (ckj xzki Q) esa fdl h i SQDVªh esa i kap o"kks± dsnkSjku AC e' khuksa ds y{; mRi knu vkSj okLrfod mRi knu dksn' kkZ; k x; k gSA

140

120

100

80

60

40

20


6070

50

80

100 10090

80

120

30

The total target production of AC Machines in February,April and May was what percentage less than the totalactual production of AC Machines over all the five months(correct to one decimal place)?

i Qjojh] v i zSy vkSj ebZ eghuksa esa AC e' khuksa dk dqy y{;mRi knu] i wjs i kap eghuksa ds nkSjku dqy okLrfod mRi knu dkfdruk i zfr ' kr Fkk ( , d n' keyo LFkku rd l gh djsa) \

(a) 46.2% (b) 46.8%

(c) 47.1% (d) 47.6%

18- If the eight-digit number 342x18y6 is divisible by 72, then

what is the value of 9x y, for the largest value of y?

; fn 8 vadksa dh l a[ ; k 342x18y6 dks l a[ ; k 72 l s foHkkft r fd; k

t k, rks y ds l cl s cM+s eku ds fy, 9x y, dk eku fdruk

gksxk\

(a) 2 7 (b) 4 7

(c) 8 (d) 6

19- If 1cot ,3

then the value of 2

22 – sin1– cos

(cosec2+ sec)

is:

; fn 1cot ,3

gS rks 2

22 – sin1– cos

(cosec2+ sec) dk eku gS%

(a) 4 (b) 6

(c) 7 (d) 5

20- Two circles of radii 15cm and 12cm interest each other, andthe length of their common chord is 18cm. What is thedistance (in cm) between their centres?

15cm vkSj 12cm f=kT; k okys nks oÙk i jLi j dkVrs gSa] vkSj mudhmHk; fu"B t hok dh yackbZ 18cm gSA muds dsaæksa ds chp dh nwjh(cm esa) fdruh gS\

(a) 18 7 (b) 15 7

(c) 12 2 7 (d) 12 3 7

21- The given Bar Graph presents the Target and Actualproductiion of AC Machines (numbers in thousands) of afactory over five months.

fn, x, naM vkjs[ k (bar graph) esa fdl h i SQDVªh esa 5 o"kks± ds nkSjkuAC e' khuksa ds y{; mRi knu vkSj okLrfod mRi knu dks n' kkZ; kx; k gSA

140

120

100

80

60

40

20


6070

50

80

100 10090

80

120

30

The actual production of AC Machines in April was whatpercentage more than the average target production ofAC Machines over five months?

v i Szy eghus esa AC e' khuksa dk okLrfod mRi knu] 5 eghuksa dsnkSjku vkSl r y{; mRi knu l s fdruk i zfr ' kr v f/ d Fkk\

Gaurav Sir

Gaurav Sir

703

(a)110 %9 (b)

111 %9

(c) 9% (d) 10%

22- The value of 3 {5 – 5 (6 – 7) 8 9}4 4 4 4 of 4

is:/ dk eku D; k gS%

(a)145 (b)

118

(c)190 (d)

13

23- If a + b + c = 5, a2 + b2 + c2 = 27, and a3 + b3 + c3 = 125, thenthe value of 4abc is:

; fn a + b + c = 5, a2 + b2 + c2 = 27, vkSj a3 + b3 + c3 = 125 gS]rks 4abc dk eku gS%

(a) – 20 (b) – 15

(c) 15 (d) 20

24- If 3 33 3x – 2 2y 3x – 2y (Ax2 – Bxy + Cy2) then thevalue of (A2 – B2 + C2) is:

3 33 3x – 2 2y 3x – 2y (Ax2 – Bxy + Cy2) gS rks (A2 –

B2 + C2) dk eku gS%

(a) 10 (b) 17

(c) 7 (d) 1


fn, x, naM vkjs[ k (Bar Graph) esa fdl h i SQDVªh esa 5 o"kks± ds nkSjkuAC e' khuksa ds y{; mRi knu vkSj okLrfod mRi knu dks n' kkZ; kx; k gSA

140

120

100

80

60

40

20


6070

50

80

100 10090

80

120

30

In which month the actual production of AC Machineswas 25% more than the target production?

fdl eghus esa AC e' khuksa dk okLrfod mRi knu] y{; mRi knul s 25» v f/ d Fkk\

(a) February/i Qjojh (b) March/ekpZ

(c) January/t uojh (d) May/ebZ


cos2 –sin2 –3 cos +2 = 0

2cos2 –3cos +1= 0(2cos –1) (cos –1) = 0 = 0 =604cosec + cot

= 4 × 2 1 9 3 33 3 3

2. Ans:– (b)a2 + 4b2 + 49c2 + 18 = 2 (2b+28c–a)(a +1)2 + (2b + 1)2 + (7c + 4)2 = 0a = –1

b= 1/2 c = 47

3a+2b+7c = –3+1+4 = 23. Ans:– (c)

2x512

18

= 63

x = 1054. Ans:– (a)

15

B A C

9

AB = 2 215 9 =12AC = 2×AB=2×12 = 24 cm.

5. Ans:– (a)

35% = 2940

Gaurav Sir

704Gaurav Sir

100% = 294035 ×100

= 8400

3rd year CI. = 840 + 84 + 84 + 8.4 = 1016.4

2.5 years CI = 840 + 840 + 84 + 1016.4

2 = 2272.2

6. Ans:– (c)Put value = 30, 60

7. Ans:– (c)90 360MRP= 40025% =Profit

1 5 SP4

5 Unit 4001unit 80

C.P 4 80 320

C.P=

8. Ans:– (c)

A : B

I 2x : 3xE 1y : 2y

90 2y 2x100

savings = y 100x 90

80 : 70 = 8 : 7

9. Ans:– (a)

100

92 110.518.5 371 2

CP = 100 × 2 = 20010. Ans:– (c)

150 : 180 = 5 : 6

11. Ans:– (b)

90A B63 275x 6x

6x – 53 = 7x = 10Avg. B = 60

12. Ans:– (c)

13. Ans:– (a)

A

D

B

E

C5

3

2ADE 3 9BAC 5 25

ADE : DECB 9 :16

14. Ans:– (b)

B

7

A

24G

DC25

BD = 252

BG = 2 25 1BD 83 3 3

15. Ans:– (b)30×10×8 = 40×6×xx = 10

16. Ans:– (a)

Gaurav Sir

Gaurav Sir

705

h = 18

21 r h3 = Volume 21 r 18 924

3

r2 = 154 722

= 72 r 7 2r 154

17. Ans:– (d)220= (target)420 = actual (total)

200 100 47.6%420

18. Ans:– (d)

72 8 9 sum oflast three digitdigit.

342×18y 6

8y68 =816,856,896

y largest=9342x18963 + 4 + 2 + x + 1 + 8 + 9 + 6 = 33 + x x = 3

9x y 36 6

19. Ans:– (d)

cot = 13 =60

2

22

2 – sin 60 (cos ec 60 sec 60)1– cos 60

32 – 44 21 31 –4

5 4 24 334

5 4 2 3 23 3 = 5

20. Ans:– (d)

15 129

PDC

A

B

CP = 2 215 – 9 = 12

PD= 2 212 – 9 = 63 =3 7

CD=CP+PD=12+3 721. Ans:– (b)

Actual = 80Avg target = 72

Diff =8 1100 11 972

22. Ans:– (c)

=3 (5 5 8 9)

4 1

=

3 154 5 90

23. Ans:– (a) a + b + c=5 a2 + b2 + c2 = 27

a3+b3+c3 = 125, ab + bc + ca = 25 27

2

= –1

a3 + b3 + c3– 3abc = (a + b + c) (a2 + b2 + c2 – ab – bc – ca)125 – 3abc = 5 (27 + 1)3abc = –154abc = –20

24. Ans:– (c)

3 33 3 x – 2 2 y

= 3 33 x – 2y

2 23x 2y 3x 2y 6xy

2 23x – 2y (Ax cy – Bxy)

A = 3 C = 2 B= – 6

A2–B2 + C2

9–6+4 = 725. Ans:– (b)

By option

CHSL (10 + 2), 2018TEST TIME:– 1:00PM – 2:00PM

TEST DATE 02/07/20191- A sum of Rs 7,500 amounts to Rs 8,748 after 2 years at a

certain compound interest rate per annum. What will be

the simple interest on the same sum for 345

years at double

the earlier interest rate?

Gaurav Sir

706Gaurav Sir

#i ; s 7]500 dh jkf' k , d fuf' pr okf"kZd pØof¼ C; kt nj i j2 o"kZ ds ckn c<+dj #i ; s 8]748 gks t krh gS i gys dh C; kt nj

dh nksxquh nj l s 345 o"kZ ds fy, ml h jkf' k i j l k/ kj.k C; kt

D; k gksxk\

(a) Rs 4,140 (b) Rs 5,520

(c) Rs. 8,180 (d) Rs 2,760

2- If 1 1–

sec – tan cos

sec × k,0° < < 90°, then k is

equal to:

vxj 1 1–

sec – tan cos

sec × k,0° < < 90°, gS rks k

cjkcj gS%

(a) cosec (b) tan

3- The given Bar graph presents the number of studentsfrom Science and Arts streams from a school in differentyears.

fn; k x; k naM vkjs[ k fofHkUu o"kks± eas , d Ldwy ds foKku vkSjdyk {ks=k ds fo| k; kfFkZ; ksa dh l a[ ; k dks n' kkZrk gSA

400

350

300

250

200

150

100

50

0 2011 2012 2013 2014 2015Science Arts

Years

225

275

325300

350375

280

320 325

250

The total number of Arts students in 2011, 2013 and 2015is what percentage less than that of Science in the givenfive years (correct to one decimal place)?

2011] 2013 vkSj 2015 esa dyk ds fo| k; kfFkZ; ksa dh dqy l a[ ; k]fn, x, 5 o"kks± esa foKku ds fo| k; kfFkZ; ksa l s fdru i zfr ' kr degS ( , d n' keyo LFkku rd l gh) \

(a) 34.2% (b) 33.6%

(c) 31.4% (d) 32.8%


fn; k x; k naM vkjs[ k fofHkUu o"kks± esa , d Ldwy ds foKku vkSjdyk {ks=k ds fo| k; kfFkZ; ksa dh l a[ ; k dks n' kkZrk gSA

400

350

300

250

200

150

100

50

0 2011 2012 2013 2014 2015Science Arts

Years

225

275

325300

350375

280

320 325

250

The average number of Science students in 2011, 2013 and2015 is what percentage more than the number of Artsstudents in 2011?

2011] 2013 vkSj 2015 esa foKku ds fo| k; kfFkZ; ksa dh vkSl r l a[ ; k2011 esa dyk ds fo| k; kfFkZ; ksa dh l a[ ; k l s fdrus i zfr' kr vfèkd gS\

(a)111 %9 (b)

39 %11

(c)19 %

11 (d)18 %9

5- In a constituency, 40% of the voters are senior citizens.40% of the senior citizen voters are illiterates and 25% ofthe non-senior citizen voters are literates. By whatpercentage is the number of literate senior citizens votersless than that of illiterate non-senior citizen voters?

fdl h fuokZpu {ks=k esa 40» ernkrk] ofj"B ukxfjd gSA ofj"Bukxfjd ernkrkvksa esa l s 40» fuj{kj gS vkSj 25» xSj&ofj"Bukxfjd ernkrk l k{kj gSA fuj{k xSj&ofj"B ukxfjd ernkrkvksa dhrqyuk esa l k{kj ofj"B ukxfjd ernkrkvksa dh l a[ ; k fdrus i zfr ' krde gS\

(a) 40 (b)1483

(c) 50 (d)2463

6- ABCD is a cyclic quadrilateral such that AB is a diameterof the circle circumscribing it and ADC = 158°. ThenBAC is equal to:

ABCD , d pØh; prqHkqZt gS ft l esa AB bl i j cus oÙk dk O; klgS rFkk ADC = 158° gS rks BAC cjkcj gS%

(a) 50° (b) 38°

(c) 68° (d) 40°

Gaurav Sir

Gaurav Sir

707

7- If the nine-digit number 8175x45y2 is divisible by 72, then

the value of 4x y, for the largest value of y, is:

vxj 9 vadksa dh l a[ ; k 8175x45y2 l a[ ; k 72 l s foHkkT; gS rks

y ds v f/ dre eku ds fy, 4x y, dk eku gS%

(a) 8 (b) 4

(c) 5 (d) 6

8- In ABC, the bisectors of B and C intersect eachother at a point D. If BDC = 104°, then the measure ofA is:

ABC eas B vkSj C ds l ef}Hkkt d , d nwl js dks fcanq Di j dkVrs gSaA vxj BDC = 104° gS] rks A dh eki gS%

(a) 28° (b) 32°

(c) 30° (d) 26°

9- In ABC, D and E are the points on sides AC and AB,respectively, such that ADE = B. If AD = 7.6cm, AE =7.2cm BE = 4.2cm and BC = 8.4cm, then DE is equal to:

ABC esa] AC vkSj AB Hkqt kvksa i j D vkSj E fcanq Øe' k% blr jg gS fd ADE = B gSA vxj AD = 7.6cm, AE = 7.2cmBE = 4.2cm vkSj BC = 8.4cm gS] rks DE cjkcj gS%

(a) 6.3cm (b) 5.8cm

(c) 7.4cm (d) 5.6cm

10- If cosec 31° = x, then sin259° +

22 2 2

1 1tan 59 –cosec 31 sin 59 cosec 59

is equal to:

vxj cosec 31° = x, gS] rks sin259° +

22 2 2

1 1tan 59 –cosec 31 sin 59 cosec 59

cjkcj gS%

(a) x + 1 (b) x2 – 1

(c) x – 1 (d) x2 + 1

11- If 3 324 3x 2 2y 2 3x 2y (Ax2 + Bxy + Cy2)

then 2A 6B – C is equal to:

vxj 3 324 3x 2 2y 2 3x 2y (Ax2 + Bxy + Cy2) gS]

rks 2A 6B – C cjkcj gS%

(a) 10 (b) 14

(c) 6 (d) 8

12- PAT is a tangent to a circle at point A on it, and AB is a

chord such that BAT = 72°. If C is a point on the circlesuch that CBA = 58°, then what is the measure of CAB?

PAT fdl h oÙk ds fcanq A i j , d Li ' kZ js[ kk gS] vkSj AB blr jg , d t hok gS fd BAT = 72° gS vxj oÙk i j , d fcanq Cbl r jg gS fd CBA = 58°, gS rks CAB dh eki D; k gS\

(a) 50° (b) 62°

(c) 48° (d) 60°

13- The curved surface area and the volume of a cylindricalpole are 132m2 and 528m3, respectively. What is the height(in m) of the pole?

, d csyukdkj i ksy dk oØ i "B {ks=ki Qy vkSj vk; ru Øe' k%132m2 vkSj 528m3 gSA i ksy dh mQapkbZ (m esa) D; k gS\

(a)122 (b)

538

(c)132 (d)

528

14- The simplified value of/dk l jyhÑr eku gS%

2 22

2 2sin 25 sin 65 sin 71 cos71 sin19cos 24 cos 66

is:

(a) 0 (b) 1

(c) 2 (d) 3

15- In a class of 80 students, 60% participate in games and therest do not. The average weight of the former group is 5%more than that of the latter. If the average weight of all the

students is 151 kg,2

then what is the average weight (in kg)

of the former group?

80 fo| k; kfFkZ; ksa dh d{kk esa 60» fo| k; kFkhZ [ ksy esa Hkkx ysrs gSa vkSjckdh ugha [ ksyrs gSaA i gys okys l ewg dk vkSl r ot u ckn okysl ewg dh rqyuk esa 5» v f/ d gSA vxj l Hkh fo| k; kfFkZ; ksa dk

vkSl r ot u 151 kg,2

gS rks i gys okys l ewg dk vkSl r ot u (kg

esa) D; k gS\

(a) 57.6 (b) 54.5

(c) 60 (d) 52.5


fn; k x; k naM vkjs[ k fofHkUu o"kks± esa , d Ldwy ds foKku vkSjdyk {ks=k ds fo| k; kfFkZ; ksa dh l a[ ; k dks n' kkZrk gSA

Gaurav Sir

708Gaurav Sir

400

350

300

250

200

150

100

50

0 2011 2012 2013 2014 2015Science Arts

Years

225

275

325300

350375

280

320 325

250

What is the ratio of the total number of Science studentsin 2011 and 2015 to that of Arts in 2012 and 2015?

2011 vkSj 2015 esa foKku ds fo| k; kfFkZ; ksa dh dqy l a[ ; k dk2012 vkSj 2015 esa dyk ds fo| k; kfFkZ; ksa dh dqy l a[ ; k l s D; kvuqi kr gS\

(a) 9 : 10 (b) 8 : 9

(c) 12 : 13 (d) 11 : 12

17- The vertices A, B, C and D of a quadrilateral ABCD lie ona circle. A is thrice C and D is twice B. What is thedifference between the measures of B and C?

fdl h prqHkqZt ABCD ds ' kh"kZ A, B, C vkSj D , d oÙk i j fLFkrgSA A, C dk frxquk gS vkSj D, B dk nksxquk gSA B vkSjC ds eki esa D; k varj gS\

(a) 15° (b) 28°

(c) 18° (d) 20°

18- When an article is sold for Rs 291, there is a loss of 3%.What will be the selling price of the article, if it is sold at again of 8%?

t c , d oLrq dks #i ; s 291 esa cspk t krk gSA rks 3» dh gkfu gksrhgSA vxj bl s 8» ds ykHk i j cspk t krk gS rks oLrq dk foØ; ewY;D; k gksxk\

(a) Rs 308 (b) Rs 332

(c) Rs 324 (d) Rs 316

19- The value of 3 × 2 ÷ 3 of 12 – 3 ÷ 2 × (2 – 3) × 2 + 3 ÷ 2 of 3is:/dk eku gS%

(a)123 (b)

1–23

(c)2–33 (d)

233

20- Amit travelled from A to B at an average speed of 80km/h.He travelled the first 75% of the distance in two-third ofthe time and the rest at a constant speed of x km/h. Thevalue of x is:

v fer us A l s B dh ; k=kk 80km/h dh vkSl r xfr l s dhA ml us' kq#vkrh 75» nwjh dks nks&frgkbZ l e; esa r; fd; k vkSj ' ks"k nwjhx km/h dh vpj xfr l s r; dhA x dk eku gS%

(a) 56 (b) 60

(c) 64 (d) 54

21- If 3sin = 2cos2 , 0° < < 90°, then the value of (tan +cos + sin) is:

vxj 3sin = 2cos2 , 0° < < 90° gS] rks (tan + cos +sin) dk eku gS%

(a)5 3

3(b)

5 36

(c)3 5 3

6

(d)3 5 3

3

22- The ratio of the present ages of A and B is 6 : 5. Four yearsago, this ratio was 5 : 4. What will be the ratio of the agesof A and B after 12 years from now?

A vkSj B dh orZeku vk; dk vuqi kr 6 : 5 gSA 4 o"kZ i woZ] ; gvuqi kr 5 : 4 FkkA vc l s 12 o"kks± ds ckn A vkSj B dh vk; q dkvuqi kr D; k gksxk\

(a) 3 : 2 (b) 8 : 7

(c) 9 : 8 (d) 7 : 6

23- A, B and C can finish a task in 42 days, 84 days and 28days, respectively. A started the work. B joined him after 3days. If C joined them after 5 days from the beginning,then for how many days did A work till the completion ofthe task?A, B vkSj C , d dke dks Øe' k% 42 fnu 84 fnu vkSj 28 fnuesa i wjk dj l drs gSaA A us dke ' kq: fd; kA 3 fnu ckn B ml dsl kFk t qM+ x; kA vxj dke ' kq: gksus ds 5 fnu ckn C Hkh mudsl kFk t qM+k] rks dke i wjk gksus rd A us fdrus fnu dke fd; k\(a) 20 (b) 15(c) 17 (d) 18

24- The given Bar graph presents the number of studentsfrom Science and Arts streams from a school in differentyears.fn; k x; k naM vkjs[ k fofHkUu o"kks± esa , d Ldwy ds foKku vkSjdyk {ks=k ds fo| k; kfFkZ; ksa dh l a[ ; k dks n' kkZrk gSA

Gaurav Sir

Gaurav Sir

709

400

350

300

250

200

150

100

50

0 2011 2012 2013 2014 2015Science Arts

Years

225

275

325300

350375

280

320 325

250

In which year the number of Arts students is 30% morethan that of Science?

fdl o"kZ esa dyk ds fo| k; kfFkZ; ksa dh l a[ ; k foKku dh rqyuk esa30» l s v f/ d gS\

(a) 2013 (b) 2014

(c) 2012 (d) 2011

25- If a + b + c = 4 and ab + bc + ca = 1, then the value of a3 +b3 + c3 – 3abc is:

vxj a + b + c = 4 vkSj ab + bc + ca = 1 gS] rks a3 + b3 + c3 –3abc dk eku gS%

(a) 50 (b) 60(c) 52 (d) 47


7500 : 8748

625 : 72925 : 27

r% = 2 100 8%

25

SI = 23 1675005 100

5520

2. Ans:– (c)

= 60°

1 1 2k12 32

32 3 2 2k k2

3sin 60º2

3. Ans:– (b) 275 + 350 + 325 = 950Science=1430Diff = 480

480 100 35.6%1430

4. Ans:– (c)

Avg Science = 900 300

3

Art = 275

Diff = 25 1100 9 %275 11

5. Ans:– (d)

= 21 2100 46 %45 3

6. Ans:– (c)

D

A B

158°C

ABC=180°–158=22

BAC=180–(90+22)=180–112 =68°

7. Ans:– (c) 8175x45y2,AH (5) divisibility rule of 8last three digitdivisible by 8Largest value of y = 98175x45928 + 1 + 7 + 5 + x + 4 + 5 + 9 + 2 is divisible by 9x = 4

4x y 16 9 25 5

8. Ans:– (a)

Gaurav Sir

710Gaurav Sir

A

B C

D

104°

BDC= 90+A2

104–90=A2

14= A2

A = 289. Ans:– (d)

A

D

7.67.2

4.2E

B C8.4

ADE ~ ABC

DE ADBC AB

x 7.6

8.4 11.4

7.6 8.4x 5.611.4

10. Ans:– (b)

Sin2 59° + 22

1 tan 59cos ec 31

– 2 2

1sin 59 cos ec 59

=sin259+cos259+tan259–1=1+ tan259–1=sec259–1= cosec2 31–1

= 2x 1

11. Ans:– (a)

3 32 3 x 2 y

2 3 x 2 y 2 212x 2y – 2 6 xy

A=12B= –2 6C = 2

2A 6 B – C

= 24 6 2 6 – 2

24 12 – 2 = 10

12. Ans:– (a)

C B

AP T

?

58

72°

BAT =BCA= CAB=180–(72+58)= 180–130= 50°

13. Ans:– (d)

22 rh 132

528r h

r = 82 rh = 132

222 8 1327

H

h= 258

14. Ans:– (c)

2 22

2 2sin 25 cos 25 sin 71cos 24 sin 24

+ cos71×cos711+1=2

15. Ans:– (d)

1512

80

48 3221x 20x

Avg weight = 21x : 20x

10380 48 21x 32 20x2

x = 5 21 5, 52.52 2

Gaurav Sir

826Gaurav Sir

(c) 16 (d) 24

23- If 22sin 3sin 2 0 , (0°< <90°) then the value of

is:

; fn 22sin 3sin 2 0 , (0°< <90°) gS rc dk ekuKkr djks\(a) 45° (b) 30°(c) 90° (d) 60°

24- If tan = 35 (0°< <90°) then sin cos is equal to:

; fn tan = 35 (0°< <90°) dk sin cos eku Kkr djks\

(a)1434

(b) 17

(c)1634

(d)1534

25- The given Bar Graph presents the percentages ofpopulation in the age groups, X (above 50), Y (20 to 50years), Z (below 20 years) in five different villages, A, B, C,D and E with total population of 5000, 6000, 8000, 4500 and6000 respectively.fn; k x; k LraHk vkys[ k (ckj xzki Q) Øe' k% 5]000] 6]000] 8]000]4]500 vkSj 6]000 dh dqy t ul a[ ; k okys i k¡p vyx&vyx xk¡oksa&& A, B, C, D vkSj E –esa] ok; q l ewgksa X (50 o"kZ l s v f/ d) ]Y (20&50 o"kZ) ] Z (20o"kZ l s de) esa t ul a[ ; k dh i zfr ' krrkdks n' kkZrk gSA

X Y Z

Villages

Perc

enta

ge

What is the ratio of the total number of persons of agesabove 50 years in the villages, B and C, taken together tothe total number of persons having ages between 20 and50 years in the said villages ?

xk¡o B vkSj C esa l fEefyr : i l s 50 o"kZ l s v f/ d vk; q ds

O; fÙkQ; ksa dh dqy l a[ ; k vkSj mUgha xk¡oksa 20 l s 50 o"kZ dh vk; qokys O; fÙkQ; ksa dh dqy l a[ ; k vuqi kr D; k gS\

(a) 49 : 57 (b) 47 : 53

(c) 51 : 59 (d) 24 : 27


11 × 67 + 10 × 70+ x + x + 13 + x + 14 = 65 × 24 x = 32 x + x + 14 = 78

average = 78 392

2. Ans:– (b)

40% 60%

3x2x

A.speed = 5x 600

2x 3x 1360 40

ave. speed = total dis

total time3. Ans:– (b)

l = 20b = 5h = 5Total surface Area = 2 (lb + bh + hl) = 2 × 225 = 450 cm²

4. Ans:– (a)

height is same soarea ratio must besame. i.e 2 : 3

5. Ans:– (d)

Gaurav Sir

Gaurav Sir

827

EDC 78 DCE 76 E 180 78 76 = 26

+6. Ans:– (d) a + b + c = 5 ab + bc + ca = 4a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – a)It must be multiple of 5meane 65

7. Ans:– (d) sin² 36 + tan² 60 + sec² 30 + sin²54

2

22 22sin 36 3 cos 36

3

4 161 33 3

8. Ans:– (d) CP : MP80 : 116

425 616.25

9. Ans:– (a) 24 SP = 26 CPCP : SP = 12 : 13

Profit = 1

12 =

25 %3

10. Ans:– (c)

P 6.5 6.5 33.80 P 8000

10000

11. Ans:– (c) A 5000B 6000

50. x 175020 50y 200020 z 1250

x 2700y 2100z 1200

C 8000 D 6000

x 2000y 3200z 2800

x 2500y 1300z 900

E 6000

x 2700y 1800z 1500

total No. of person below 20 inB & C = 4000total person in B & C = 1400

% = 4000 200100

14000 7

12. Ans:– (a) add all(x + y)² – z³ + (y + z)² – x² + (x + z)² – y²= 8 + 10 + 7 (x + y + z)² = 25 x + y + z = 5

13. Ans:– (d)

2336

9

18

4 12

3 day all work together = 27

Remaining = 95 days

14. Ans:– (a) A

C B

D5

4

BD² = 4 × 5BD = 2 5

15. Ans:– (c)

4 414.4 3.6 :

5

= 12 6 4 4

10 5

= 9 : 416. Ans:– (a)

a 8 7 a b 2 8

2 2b 8 7 a b 30

2 2

2 2

a b 3aba ab b

= 30 3 2730 1 31

17. Ans:– (c)data from = soln (II)20 + 50 in A & B = 2000 + 2100 = 4100

18. Ans:– (a) 20 – [2.8 × 5 ÷ 0.7 – 3 ÷ 0.9 × 1.5 + 2]

= 20 – 28 5 30 1.5 2

7 9

= 20 – (20 – 5 + 2) = 3

19. Ans:– (c)

Gaurav Sir

828Gaurav Sir

100124

114

10

10 8.1%124

20. Ans:– (d)data form soln (II)below 20 in D & E = 6100total person of below 20 in D = 900

% = 600 200 %900 3

21. Ans:– (b)

180 92OBC2

= 44

B 68

OBA 24

ABO 24

22. Ans:– (d) 88 8 × 11for it for itlast 3 digit alternate digit65 y 5x324656y = 6 (5 + 3 + 4 + 5 ) – (x + 2 + 6 + 6)

x = 32 x + 3y = 2 × 3 + 3 × 6 = 24

23. Ans:– (b) 22sin 3sin 2 0

2sin ² 1 sin 2 0

30

24. Ans:– (d)

3tan5

3

5

34

3 5 15sin . cos3434 34

25. Ans:– (b) data from soln (II)above so in B & C = 2700 + 2000= 470020 – 50 in B & C = 2100 + 3200 = 5300Ratio = 4700 : 5300= 47 : 53

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