S

O K.K.N.

Sum of odd numbers upto 52?

1. What is the sum of first 20 even num- the salary of Sajina and Divya is 3:4. a) 225 b) 450

bers? Then ratio between salary of Shija c) 900 d) 500 a) 400 b) 380 and Divya is 21. Gopi travelled from A to B at a speed c) 420 d) 180 a) 5:3 b) 5:4 of 70km/h and returned from B to A 2. What is the sum of even numbers

c) 3:2 d) 5:8 at Speed of 30km/h. Then average upto 51? 13. Two numbers are in the ratio 2:3. speed of his whole Journey

a) 2652 b) 2550 Their L,C.M is 36. Then the smallest a) 50km/h b) 42km/h c) 625 d) 650 ! numbers is c) 48km/h d) 40km/h 3. 12.3+.......... i-200=________ a) 8b) 12 22. The average ofl5 numbers is5o. The aver- a) 19900 b) 10100 C) 24 d) 1 age of first 8 numbers is 52 and the last8 c) 20100 d) 20000 14. The three sides of a triangle are in of these numbers is 49. What is the 8th 4. 1+2+3+ ....... +n+1= the ratio 5:6:9. Its perimeter is number? a) n n-i b)n n+1 140cm. Then length of biggest side is [(a) 58(b) 49 (c) 56 (d) 541

a) 45cm b) 20cm 23. The average of 6 numbers is 8. What is the c) _(+1)(n-t-2)

2 d) n2(n.i-1)2 c) 63cm d) 40cm 7th number so that the average becomes

15. Age of father is three times of son's 10? 5. What is the sum of odd numbers up age now. Five years ago father's age [(a) 20 (b) 22(c) 36 (d) 24 to 52? a) 625 o) 676 was four times of son's age. Then the 24. In an examination a student must get 60% c) 2704 d) 2601 age of son now is? a) 10

of marks to pass. If a student got 120 6. 1 2 22 32 ,l 02=

20 b) marks and failed by 60 marks, maximum a) 100 0)110 c) 15 d) 8 marks in the examination was c) 220 a, 385 16. Ratio between ages of father and son [(a) 600 (b) 540 (c)300 (d) 4501 7. o=

is 5:1. Ten years hence it will 25. In an examination 50% of students failed a) I 600 zi 3025 becomes 3:1. Then son's present age in science 40% failed in Maths. 10% failed c) 10100 . d) 5050 is in both. Then percentage of students who 8. What is the average of first 27 odd

a) 10 b) 15 c) 20 d) 4

passed in both the subjects [(a) 80% (b) 20% (c) 30% (d) 70%1 numbers? 17. A rectangular garden is 100mx80m. 26. In an election between two candidates a) 28

c) 27 54

d) 26 There is a path along the garden just one who got 60% of the votes won the 9. What is the averge of odd numbers outside,Width of the path is 10m.The election by 320 votes. Then total votes

ut0 100? area of the path is a) 1900m2 b) 2400m2 polled in the election was

Na) 800 (b) 1600 (c) 1000 (d) 15001 a) 103 C 53 0) 51

c) 3660m2 d) 4000m2 27. When 60 is added to 60% of a number we 10. Wha: is the average of first 19 even 18. The area of a square is 162cm2. Then i get the same number. Then the number is lenght of its diagonal is [(a) 300 (b) 400 (c) 600 (d) 1501

nun'.oers? a) 9 8 a) 16cm b) 18cm 28. If the salary of Siva is 150% more than

a) 38 c) 24cm d) 14cm salary of Gopi, then salary of Gopi is less 11. ra: is the average of first 50 count- 19. The area of an equilateral triangle is 1 OOJTcm2. Then its perimeter is

than salary of Siva by [(a) 100% (b) 50% (c) 60% (d) 40%] ing numbers?

a) 2E 2_-- a) 20cm b) 40cm 29. When the side of cube is doubled its vol- - C 24. 25

c) 60cm d) 50cm ume increased by 12. Tne ato between

,

tne salary of Shija 20. The number of tiles of dimension [(a) 800% (b) 700% (c) 400% (d) 300%] and Sajina is 5:6. The ratio between 20cmx2Ocm required to pave the 30. A certain amout will be doubled in 8 years floor of a square room of 6m side in simple interest. Then rate of interest is

mO(r1 6W1(Q1Owm 11

1(a) 10% (b) 12.5% (c) 16% (d) 15.5%] The difference between the compound interest and simple interest for a sum of Rs. 15000 @ 10% per annum for 2 years.

[(a) 150 (b) 1500 (c) 15 (d) 3001 In what proportion must wheat at Rs. 31 per kilogram to be mixed with wheat at 36 per kilogram, so that the mixture be worth Rs. 32.50 per kilogram?

[(a) 5:8 (b) 7:3 (c) 1:2 (d) 1:41 What is the mamixum length of iron rod that can be kept in a room of dimension 10mxlOmx5m?

[(a) 25 m (b) lOm (c) 15m (d) 12.5m] 34.A and B can do a work in 10 days B and C

in 12 days C and A in 15 days, Then num-ber of days wanted to complete the work if A,B, C worked together

[(a) 8 (b) 4 (c) 12 (d) 101 If 1 man or 3 women or 4 boys can do a work in 38 days then in how many days 1 man 1 women and 1 boy do the work?

[(a) 12(b) 24 (c) 18 (d) 101 A certain number of people can do a work in 35 days. If there were 10 people more it could be finished in 10 days less. How many people are there?

[(a) 20 (b) 25 (c) 30 (d) 351 31. Vinu and Vijayan invested Rs. 30000 and

Rs. 40000 respectively to set up a partner-ship. In one year they got Rs. 42000 profit. The amount of profit Vinu got

[(a) R. 11,440 (b) Rs. 10000 (c) Rs. 8,511 (d) Rs. 18,0001 The sum of two numbers is 19. Their prod-uct is 88. Then sum of their reciprocals is

[(a) i (b) (c) . (d) None of these] 9 88 19

Successive discounts of 20% and 15% is equal to a single discount of

((a) 35% (b) 32% (c) 31% (d) 30%] The cost price of 10 articles is equal to the selling price of 8 articles. Then the profit percentage is

[(a) 20% (b) 25% (c) 33.33% (d) 40%] The time taken by a 100 m train running with a speed of 36km/h to cross a bridge of length 80 m

[(a) 24 sec (b) 30 sec (C) 18 sec (d) 10 secl A house can be painted by 24 people b working 8 hours in 10 days. Then the num-ber of persons required to complete thE work in 6 days by working 10 hours pei day?

[(a) 26 (b) 28 (C) 30 (d) 321 What is next

0, 18,45,109,-- a) 208 (b) 230 (c) 234 (d) 256] 4. The total internal angle of a polygon is

10801. Then number of sides of the poly- gon is

(a)7(b)8(c)6(d)5[ 15. 15XI 02n = 0.000015. Then n is (a) 3(b) 2(c) -3(d) -21

10 ITO -10 OT (a) 1.0001 (b) 1.001 (c) 1.111 (d)0.111] 7.a+I=2 Then a2+ 1 =

a aT

(a) 4(b) 3(c) 2(d) 1] a+b=4 a2+b2=7 then ab is

(a)-i (b).1 (c) (d)i. 2 2 4 4

The length of the diagonal of a cube is 8'3 cm. then its surface area is

[(a) 192 cm2 (b) 512 cm2 (c) 768 cm2 (d) 384 cm2]

50.22 pens are brought for Rs. 20 and 20 pens are sold for Rs. 22. Then Profit percentage is

[(a) 42% (b) bob (c) 18% (d) 21%]

Answers with Explanation (c) Sum of first n even numbers -4 n(n+1)

20(20+1) = 20x21 = 420

(d) Here n = 25 There are 25 even numbers upto 51. n(n+1) = 25(25+1) =25 x26 = 650

(c) Sum of first n natural number -*n(n+1) 2

200x201 = 100x201

= 20100 (c) Sum of first 'n' natural numbers

= n(n+1) 2

Sum of first (n+1) natural numbers = (n+1) [(n+1)+1]

2

= (n+1)(n+2) 2

(b) Sum of first 'n'odd numbers .-* n2

There are 26 odd numbers upto 52.

2O5 0(4j14

n= 26 2. 262

= 676

(d) Sum of squares of first 'n'natural iumbers -4 n(n+1) (2n+1)

6 Here n = 10

10(10+1) (2x10+1) 6

= lOxllx2l 6

= 385

7. (b) Sum of cubes of first 'n' natural numbers -* n(n+1) 2

2 n=1 0

10(10+1) 2 2

= 3025 (c) Average of first'n'odd numbers is'n' itself. Average of first 27 odd numbers = 27 (c) There are 50 odd numbers upto 100

Average is 50 (c) Average of first 'n' even numbers - n+1 n=1 9 n+1=19+1=20 (d)Averageof first'n counting numbers -+9' n=50 = 5i25 2 2 2

12.(d) Shija Sajina Divya 5 44

15 : 18 : 24

Ratio of Salary between Shija and Divya=15:24

1 3.(b) Numbers --). 2x, 3x

S a2 = 4x100 = 400

* 40%+30%+10% = 80% a = percentage of students passed * 100% -80%

=20 =20%

Perimeter = 3a = 3x20 = 60cm (b) One candidate got -* 60% 20. (C) Number of tiles = Area of room other candidate got -+ 40%

Area of 1 tile 60%-40%--, 320 = 600x600 20% -* 320

20x20 x5 100%-, 320x5=1600 = 900 (d) Here

21 .(b) Average Speed = 40% -4 60 = 2x70x30 x2.5 100% .-, 60x2.5

70+30 = 150 = 2x70x30 0 28.(c)[ [10x150 10/ 100R I % 100 100+R 100+150

=42km/h _fiooxiso JQ/

.- 22.(a) Sum of 15 numbers, 15x50

[ 250

=750 =60%

sum of first 8 numbers -f 8x52 29, (b) side volume =416

a a

Sum of last 8 numbers -+ 8x49 side volume =8a3 2a (2a)

= 392 8th number-, (41 6+392) -750 volume increased by 7.times.

= 808-750 58 volume increased by 700%

23.(b) Sum of 6 numbers -, 6x8 =48. 30 (b) If a certain amount is doubled in Let 'x' be the 7th number, 'N' years, rate of interest

R= 100 % = 100 % 12.5%

7 x=70-48=22 31 (a) The difference between compound

24. (c) 60% 3 120+60 = 180 interest and simple interest for 2

-6 10% -+ 30 years PR2 1 5000x 102 10000 10000

xlO 100% * 10x30=300 =150 32 (b)

I 100% 25. (b) Cheaper wheat Dearer wheat 31 36

aths

\ean7 rice

10% percentage of students failed in 3.5 1.5 = 35 :15 Science only -+50% - 10% = 40% = 7 : 3 percentage of students failed in maths only 33 (c) Diogonal of a room of dimension -+ 40% -10% = 30% xxy x z metres percentage of students failed in any subject

ocB1 31(OQIWTO) cL)(a11

LCM-.* xI2x,3x 2,3

LCM-+xx2x 3=6x 6x=36

Smallest number-, 2x=2x6=1 2 14. (c) Perimeter-1 40cm

Lenght of bigest side = 140 x

140x9 - 20

= 7x9 = 63cm

15.(c)Ageofson_x Age of Father - 3x

Five years ago, Fathers age --)~ 3x 5 Sons age * x 5 3x - 5 = 4(x 5) 3x 5 = 4x 20 x = 15 16. (a) Son's age - x Father's age -~ 5x After 10 years Age of son -* x + 10 Age of father .-* 5x + 10 5x+10 _3 x+10 1

5x + 10 = 3 (x+10) 5x + 10 = 3x + 30 2x = 20 - 20 =10

17.(d)

100

80

100

Area of path = Area of big rectangle Area of small rectangle = 120 x 100-100 x 80 = 12000-8000 = 4000m2 18. (b)Area = 162cm2 2 162

d2= 2x162 = 324 d =JTh=18 cm 19.(c) Area = 100f!cm2

a2=100J

-) (222 qx +y +z = ,,j102 +5 +1022 = j1O0+100+25

=J2= 15m

34 (a) 2xyz = 2xlOxl2xlS

xy+yz+zx 10x12+12x15+15x10

= 2x10x12x15 450

= 8 days 35 (b) If x men or y women or z boys can do a work in D days, then number of days required to cmpleet the work by 1 man, 1 women and 1 boy -~

Dxyz days

= 38x1x3x4 1 x3+3x4+4x1

= 38x3x4 19

=2x3x4 = 24 days

36. (b) M1 D1= M2 D2 M1 x 35= (M1 +10) 25 35 M1 = 25 M1 +250 10M1 =250 M1 = 25

37(d)

Ratio of investment 30000: 40000 = 3:4

Ratio of Profit =3:4 The amount Vinu got => 42000x--= 18000

(b) Sum of reciprocals = Sum of Numbers _19

Product of Numbers 88 (b) [-x-y+ 1% = [-20-1 5+- ]" 100

= 32% discount 40(b)

100% = 10-8 x 100% = x1 00% y 8 8

=25% Distance 41(c) Time = Speed - 100+80 - 36x5

18

18 Seconds - 10 -

42. (d) M1 D1 H1 = M2 D2 H2 24x10x8=Mx6xlO

4x1dx 28 M2= 6x10 =32

43(c) +2 33 43 10 -p 18 -+ 45 -* 109 Next term is 109+53 = 109+125 = 234

44. (b) (n-2) 180= 1080 n

1080 2 6 180

n = 6 + 2 = 8

(c) 0.000015= 1 5x1 06

2n=-6 =

1 1 1 (c) 1000 = 1 +0.1 +0.01 +0.001 = 1.111

47(c) lfx+ -Lkthenx 2+ 1 2-=k2 -2

a+---=2 a2+_ = 22_2

= 4-2 = 2 48. (b) (a+b)2 = a2+b2+2ab

42 = 7+2ab

2ab= ab=---

49(d) a\3 = 8 3 a = 8 Surface area = 6a2 = 6 x 82 = 6x 64 = 384 cm2

50. (d) If 'a articles are brought for Rs. b and b articles are sold for Rs a (a>b) then profit % = a2-b2 xl00%

b2 = 222_202 ioo,

202 484-400 400 xl00%

= 21 %

BRAIN CRACKERS - ANALOGY

'Analogy means 'correspondence In these type of questions, a particular relationship is given and another simi-lar relationship has to identified from the alternatives. To answer these type of questions candidates should have thorough General Knowledge and power of reasoning.

Type I Animals and young one I. Cow: Calf: Swan:_

(a) Cater pillar (b) Cub (c) Tadpole (d) Cygnet

Type II Animal/ thing and sound

Lion: Roar : : Frog: - (a) Neigh (b) Trumpet (c) Quack (d) Croak

Type III Individual and Group

Fish:Shoal : : Chicken:_

(ii) 1:lock (b) Swarm (c) Brood (d) Herd

Type IV Individual and living placcs

Lion: Den : : Horse: - (a) Hive (b) Web (c) Stable (d) Igloo

Type V Quantity and unit S. Mass: Kilogram : : Energy:

2015 M384f14 L(