32
PAPER-4 AZwH« ‘m§H / Roll No. CÎma-erQ H« ‘m§H / OMR Answer Sheet No. KmofUm : / Declaration : ‘¢Zo n¥îR g§»¶m 1 na {X¶o J¶o {ZX}em| H mo n‹TH a g‘P {b¶m h¡& I have read and understood the instructions given on page No. 1 narjmWu H m hñVmja /Signature of Candidate (AmdoXZ nÌ Ho AwZgma /as signed in application) narjm Ho ÝÐmܶj H s ‘moha Seal of Superintendent of Examination Centre narjmWu H m Zm‘/ Name of Candidate : àíZnwpñVH m H« ‘m§H Question Booklet Sr. No. DA Q. Booklet Code narjm{W©¶m| Ho {bE {ZX}e /INSTRUCTIONS TO CANDIDATE narjmWu H mo {X¶o n¡amJ«m’ H s ZH b ñd¶§ H s hñV{b{n ‘| ZrMo {X¶o J¶o [a³V ñWmZ na ZH b (H m°nr) H aZr h¡& ""Amn ghr ì¶dgm¶ ‘| h¢, ¶h Amn V^r OmZ|Jo O~ : Amn H m‘ na OmZo Ho {bE qM{VV h¢, Amn {Z˶ AnZm H m‘ g~go AÀNm H aZm MmhVo h¢, Am¡a Amn AnZo H m¶© Ho ‘hËd H mo g‘PVo h¢&'' AWdm / OR To be copied by the candidate in your own handwriting in the space given below for this purpose is compulsory. ‘‘You will know you are in the right profession when : you wake anxious to go to work, you want to do your best daily, and you know your work is important.” Aä¶{W©¶m| hoVw Amdí¶H {ZX}e : Instructions for the Candidate : 1. Amo.E‘.Ama. CÎma n{ÌH m ‘| Jmobm| VWm g^r à{dpîQ¶m| H mo ^aZo Ho {bE Ho db Zrbo ¶m H mbo ~mb ßdmB§Q noZ H m hr Cn¶moJ H a|& 1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet. 2. SECURITY SEAL ImobZo Ho nhbo Aä¶Wu AnZm Zm‘, AZwH« ‘m§H (A§H m| ‘|) Amo.E‘.Ama. CÎma-erQ H m H« ‘m§H Bg àíZ-nwpñVH m Ho D na {X¶o J¶o ñWmZ na {bI|& ¶{X do Bg {ZX}e H m nmbZ Zht H a|Jo Vmo CZH s CÎma-erQ H m ‘yë¶m§H Z Zhr hmo gHo Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& 2. Before opening the SECURITY SEAL of the question booklet, write your Name, Roll Number ( In figures), OMR Answer-sheet Number in the space provided at the top of the Question Booklet. Non-compliance of these instructions would mean that the Answer Sheet can not be evaluated leading the disqualification of the candidate. 3. à˶oH àíZ Mma A§H m| H m h¡& {Og àíZ H m CÎma Zht {X¶m J¶m h¡, Cg na H moB© A§H Zht {X¶m Om¶oJm& JbV CÎma na A§H Zht H mQm OmEJm& 3. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. g^r ~hþ{dH ënr¶ àíZm| ‘| EH hr {dH ën ghr h¡, {Ogna A§H Xo¶ hmoJm& 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer. 5. JUH , bm°J Qo{~b, ‘mo~mBb ’ moZ, Bbo³Q´m°{ZH CnH aU VWm ñbmBS ê b Am{X H m à¶moJ d{O©V h¡& 5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Aä¶Wu H mo narjm H j NmoSZo H s AZw‘{V narjm Ad{Y H s g‘mpßV na hr Xr Om¶oJr& 6. Candidate will be allowed to leave the examination hall at the end of examination time period only. 7. ¶{X {H gr Aä¶Wu Ho nmg nwñVH| ¶m Aݶ {b{IV ¶m Nnr gm‘J«r, {Oggo do ghm¶Vm bo gH Vo/gH Vr h¢, nm¶r Om¶oJr, Vmo Cgo A¶mo½¶ Kmo{fV H a {X¶m Om gH Vm h¡& Bgr àH ma, ¶{X H moB© Aä¶Wu {H gr ^r àH ma H s ghm¶Vm {H gr ^r ómoV go XoVm ¶m boVm (¶m XoZo H m ¶m boZo H m à¶mg H aVm) hþAm nm¶m Om¶oJm, Vmo Cgo ^r A¶mo½¶ Kmo{fV {H ¶m Om gH Vm h¡& 7. If a candidate is found in possession of books or any other printed or written material from which he/she might derive assistance, he/she is liable to be treated at disqualified. Similarly, if a candidate is found giving or obtaining (or attempting to give or obtain) assistance from any source, he/she is liable to be disqualified. 8. {H gr ^r ^«‘ H s Xem ‘| àíZ-nwpñVH m Ho A§J«oOr A§e H mo hr ghr d A§{V‘ ‘mZm Om¶oJm& 8. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 9. a’ H m¶© Ho {bE EH Imbr sheet g§½b½Z h¡& 9. One blank sheet for rough work is also enclosed. 10. OMR sheet Bg Paper Ho ^rVa h¡ VWm Bgo ~mha {ZH mbm Om gH Vm h¡ naÝVw Paper H s grb Ho db nona ewé hmoZo Ho g‘¶ na hr Imobm Om¶oJm& 10. OMR sheet is placed within this paper and can be taken out from this paper but seal of paper must be opened only at the start of paper. PAPER-4 AZwH« ‘m§H / Roll No. DA Q. Booklet Code H j {ZarjH Ho hñVmja /Signature of the Invigilator àíZnwpñVH m H moS àíZnwpñVH m H moS àíZnwpñVH m H« ‘m§H / Question Booklet Sr. No. H j {ZarjH Ho hñVmja /Signature of the Invigilator * Bg n¥îR H m D nar AmYm ^mJ H mQZo Ho ~mX drjH Bgo NmÌ H s OMR sheet Ho gmW gwa{jV aIo& * After cutting half upper part of this page, invigilator preserve it along with student’s OMR sheet. narjmWu H m Zm‘/ Name of Candidate : Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude nwpñVH m ‘| ‘wIn¥îR g{hV n¥îRm| H s g§»¶m No. of Pages in Booklet including title 32 g‘¶ 2.30 K§Qo Time 2.30 Hours A§H / Marks 500 nwpñVH m ‘| àíZm| H s g§»¶m No. of Questions in Booklet 100 Questions & Drawing Sheet

PAPER-4 Aptitude Test for Architecture PART-A ... · Q. Booklet Code narjm{W©¶m| Ho$ {bE {ZX} ... PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude Aptitude

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PAPER-4AZwH«$‘m§H$ / Roll No.

CÎma-erQ> H«$‘m§H$ / OMR Answer Sheet No.

KmofUm : / Declaration :‘¢Zo n¥îR> g§»¶m 1 na {X¶o J¶o {ZX}em| H$mo n‹T>H$a g‘P {b¶m h¡&I have read and understood the instructions given on page No. 1

narjmWu H$m hñVmja /Signature of Candidate(AmdoXZ nÌ Ho$ AwZgma /as signed in application)

narjm Ho$ÝÐmܶj H$s ‘mohaSeal of Superintendent of Examination Centre

narjmWu H$m Zm‘/Name of Candidate :

àíZnwpñVH$m H«$‘m§H$Question Booklet Sr. No. DA

Q. Booklet Code

narjm{W©¶m| Ho$ {bE {ZX}e /INSTRUCTIONS TO CANDIDATE

narjmWu H$mo {X¶o n¡amJ«m’$ H$s ZH$b ñd¶§ H$s hñV{b{n ‘| ZrMo {X¶o J¶o [a³V ñWmZ na ZH$b (H$m°nr) H$aZr h¡&""Amn ghr ì¶dgm¶ ‘| h¢, ¶h Amn V^r OmZ|Jo O~ : Amn H$m‘ na OmZo Ho$ {bE qM{VV h¢, Amn {Z˶ AnZm H$m‘ g~go AÀN>m H$aZm MmhVo h¢, Am¡a Amn AnZo H$m¶© Ho$ ‘hËd H$mo g‘PVo h¢&'' AWdm / OR To be copied by the candidate in your own handwriting in the space given below for this purpose is compulsory.‘‘You will know you are in the right profession when : you wake anxious to go to work, you want to do your best daily, and you know your work is important.”

Aä¶{W©¶m| hoVw Amdí¶H$ {ZX}e : Instructions for the Candidate :1. Amo.E‘.Ama. CÎma n{ÌH$m ‘| Jmobm| VWm g^r à{dpîQ>¶m| H$mo ^aZo Ho$ {bE Ho$db

Zrbo ¶m H$mbo ~mb ßdmB§Q> noZ H$m hr Cn¶moJ H$a|&1. UseBLUEorBLACKBALLPOINTPENonlyforallentriesandforfilling

the bubbles in the OMR Answer Sheet.

2. SECURITY SEAL ImobZo Ho$ nhbo Aä¶Wu AnZm Zm‘, AZwH«$‘m§H$ (A§H$m| ‘|) Amo.E‘.Ama. CÎma-erQ> H$m H«$‘m§H$ Bg àíZ-nwpñVH$m Ho$ D$na {X¶o J¶o ñWmZ na {bI|& ¶{X do Bg {ZX}e H$m nmbZ Zht H$a|Jo Vmo CZH$s CÎma-erQ> H$m ‘yë¶m§H$Z Zhr hmo gHo$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo&

2. Before opening the SECURITY SEAL of the question booklet, write yourName,RollNumber(Infigures),OMRAnswer-sheetNumberinthespaceprovidedatthetopoftheQuestionBooklet.Non-complianceof these instructions would mean that the Answer Sheet can not be evaluatedleadingthedisqualificationofthecandidate.

3. à˶oH$ àíZ Mma A§H$m| H$m h¡& {Og àíZ H$m CÎma Zht {X¶m J¶m h¡, Cg na H$moB© A§H$ Zht {X¶m Om¶oJm& JbV CÎma na A§H$ Zht H$mQ>m OmEJm&

3. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer.

4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer.

5. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X H$m à¶moJ d{O©V h¡&

5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited.

6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr Om¶oJr&

6. Candidate will be allowed to leave the examination hall at the end of examination time period only.

7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m Aݶ {b{IV ¶m N>nr gm‘J«r, {Oggo do ghm¶Vm bo gH$Vo/gH$Vr h¢, nm¶r Om¶oJr, Vmo Cgo A¶mo½¶ Kmo{fV H$a {X¶m Om gH$Vm h¡& Bgr àH$ma, ¶{X H$moB© Aä¶Wu {H$gr ^r àH$ma H$s ghm¶Vm {H$gr ^r ómoV go XoVm ¶m boVm (¶m XoZo H$m ¶m boZo H$m à¶mg H$aVm) hþAm nm¶m Om¶oJm, Vmo Cgo ^r A¶mo½¶ Kmo{fV {H$¶m Om gH$Vm h¡&

7. If a candidate is found in possession of books or any other printed or written material from which he/she might derive assistance, he/she isliabletobetreatedatdisqualified.Similarly,ifacandidateisfoundgiving or obtaining (or attempting to give or obtain) assistance from any source,he/sheisliabletobedisqualified.

8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ ‘mZm Om¶oJm&

8. English version of questions paper is to be considered as authentic and finaltoresolveanyambiguity.

9. a’$ H$m¶© Ho$ {bE EH$ Imbr sheet g§½b½Z h¡& 9. One blank sheet for rough work is also enclosed.10. OMR sheet Bg Paper Ho$ ^rVa h¡ VWm Bgo ~mha {ZH$mbm Om gH$Vm h¡ naÝVw

Paper H$s grb Ho$db nona ewé hmoZo Ho$ g‘¶ na hr Imobm Om¶oJm&10. OMR sheet is placed within this paper and can be taken out from this

paper but seal of paper must be opened only at the start of paper.

PAPER-4AZwH«$‘m§H$ / Roll No.

DAQ. Booklet Code

H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H«$‘m§H$/ Question Booklet Sr. No.

H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator

* Bg n¥îR> H$m D$nar AmYm ^mJ H$mQ>Zo Ho$ ~mX drjH$ Bgo N>mÌ H$s OMR sheet Ho$ gmW gwa{jV aIo&* After cutting half upper part of this page, invigilator preserve it along with student’s OMR sheet.

narjmWu H$m Zm‘/Name of Candidate :

Aptitude Test for ArchitecturePART-A : Mathematics & Aesthetic SensitivityPART-B : Drawing Aptitude

Aptitude Test for ArchitecturePART-A : Mathematics & Aesthetic SensitivityPART-B : Drawing Aptitude

nwpñVH$m ‘| ‘wIn¥îR> g{hV n¥îR>m| H$s g§»¶mNo. of Pages in Booklet including title

32 g‘¶ 2.30 K§Q>oTime 2.30 Hours

A§H$ / Marks 500

nwpñVH$m ‘| àíZm| H$s g§»¶mNo. of Questions in Booklet

100 Questions &

Drawing Sheet

4 - DA ] [ 2 ] [ Contd...

PART-A / ^mJ-AMATHEMATICS & AESTHETICS SENSITIVITY / J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r

001. ABCD is a parallelogram. If the coordinates of A, B, C are (2, 3), (2, 4) and (0, – 2) respectively, what will the coordinate of D.

(A) x = 2, y = – 1

(B) x = 3, y = – 2

(C) x = 1, y = – 3

(D) None of these

002. If ` 85 amounts to ` 95 in 3 years, what ` 102 will amount in 5 years at the same rate %?

(A) 117 (B) 122 (C) 132 (D) 142

001. ABCD EH$ MVw^w©©O h¡ `{X A, B, C Ho$ {ZX}em§H$ H«$‘e: (2, 3), (2, 4) d (0, -2) hmo Vmo D erf© Ho$ {ZX}em§H$ Š`m hm|Jo?

(A) x = 2, y = -1

(B) x = 3, y = -2

(C) x = 1, y = -3

(D) BZ‘| go H$moB© Zht

002. `{X ` 85 H$m {‘lYZ 3 dfm}§ ‘| ` 95 hmo Vmo ` 102 H$m 5 dfm}§ ‘| Cgr ã`mO Xa go {‘lYZ

Š`m hmoJm?

(A) 117 (B) 122 (C) 132 (D) 142

PAPER-4Aptitude Test for ArchitectureMathematics & Aesthetic Sensitivity – Part A : Q. 1 to 100Drawing Aptitude – Part B : Q. 1 & 2

4 - DA ] [ 3 ] [ PTO

003. If x1 64 89+ = , than x = ?

(A) 15 (B) 16

(C) 17 (D) 18

004. If ,x x1 5+ = then value of ?,x

x122+ =

(A) 21 (B) 23

(C) 25 (D) 27

005. The cube root of 0.00000729 is -

(A) 0.0027

(B) 0.027

(C) 0.0009

(D) 0.009

006. Find the value of x if

x1 25633 1 16+ = +d n 9 C

(A) 1 (B) 2

(C) 4 (D) 3

007. Which is the Term of 1280 in Series 5, 10, 20, 40, ...............?

(A) 7th

(B) 10th

(C) 9th

(D) None of these

008. If (k – 2, (2k +1), (6 k + 3) are in GP, then k = ?

(A) 2 (B) 7

(C) 3 (D) 6

003. `{X, x1 64 89+ = , hmo Vmo x H$m ‘mZ hmoJm &

(A) 15 (B) 16

(C) 17 (D) 18

004. `{X, ,x x1 5+ = Vmo ?,x

x122+ = H$m ‘mZ

~VmAmo-

(A) 21 (B) 23 (C) 25 (D) 27

005. 0.00000729 H$m KZ‘yb Š`m hmoJm-

(A) 0.0027

(B) 0.027

(C) 0.0009

(D) 0.009

006. `{X x1 25633 1 16+ = +d n 9 C hmo Vmo x H$m

‘mZ Š`m hmoJm-

(A) 1 (B) 2

(C) 4 (D) 3

007. loUr 5, 10, 20, 40, ............... H$m H$m¡Z-gm nX 1280 h¡?

(A) 7th

(B) 10th

(C) 9th

(D) BZ‘| go H$moB© Zht

008. `{X (k – 2, (2k +1), (6 k + 3) JwUmoËVa loUr ‘| hmo Vmo k H$m ‘mZ Š`m hmoJm?

(A) 2 (B) 7

(C) 3 (D) 6

4 - DA ] [ 4 ] [ Contd...

009. The 3rd term of a G.P. is 4. What will be the total sum of the first five terms of this GP?

(A) 1024

(B) 1248

(C) 1368

(D) 1092

010. Which term of AP 3, 18, 13, ........ is 78?

(A) A23

(B) A19

(C) A16

(D) A22

011. Which term of the AP 3, 15, 27, 39.......... will be 132 more than its 54th term?

(A) 57 (B) 92

(C) 63 (D) 65

012. Evaluating cos(tan– 1 x) we get :–

(A) x11

2+

-

(B) x1 2+

(C) x1

12

+

(D) 1

013. If x, y, z ∈ [– 1, 1] such that

sin– 1 x + sin– 1 y z = ,23p find the value of

x y zx y z

92006 2007 20082006 2007 2008+ + -+ +

(A) 0 (B) 1

(C) – 1 (D) 2

009. JwUmoËVa loUr H$m Vrgam nX 4 h¡ Vmo JwUmoËVa loUr Ho$ àW‘ nm±M nXm| H$m `moJ Š`m hmoJm?

(A) 1024

(B) 1248

(C) 1368

(D) 1092

010. g‘mÝVa loUr 3, 18, 13, ........ H$m H$m¡Z-gm nX 78 h¡?

(A) A23

(B) A19

(C) A16

(D) A22

011. g‘mÝVa loUr 3, 15, 27, 39.......... H$m H$m¡Z-gm nX 54d| nX go 132 A{YH$ hmoJm?

(A) 57 (B) 92

(C) 63 (D) 65

012. cos(tan– 1 x) H$mo hb H$aZo na Š`m àmá hmoJm-

(A) x11

2+

-

(B) x1 2+

(C) x1

12

+

(D) 1

013. `{X x, y, z ∈ [– 1, 1] Bgr àH$ma

sin– 1 x + sin– 1 y z = ,23p hmo, Vmo

x y zx y z

92006 2007 20082006 2007 2008+ + -+ +

H$m ‘mZ Š`m hmoJm?

(A) 0 (B) 1

(C) – 1 (D) 2

4 - DA ] [ 5 ] [ PTO

014. Evaluate tan cos21

351-( 2 we get –

(A) 23 5-

(B) 25 3+

(C) 2

(D) 1

015. If a b

ab52+

> H = 6528

> H, find the value

of a and b.

(A) 4, 5

(B) 2, 4

(C) 4, 2

(D) 0, 1

016. Simplify -

coscossin

sincos

sinsincos

cossin

qqq

qq

qqq

qq-

+-

> >H H

(A) 1101

> H

(B) 1001

> H

(C) 11

11

> H

(D) 1415

> H

014. tan cos21

351-( 2 H$mo hb H$aZo na Š`m àmá

hmoJm-

(A) 23 5-

(B) 25 3+

(C) 2

(D) 1

015. `{X a b

ab52+

> H = 6528

> H, hmo Vmo a Am¡a b H$m

‘mZ Š`m hmoJm-

(A) 4, 5

(B) 2, 4

(C) 4, 2

(D) 0, 1

016. gab H$s{OE-

coscossin

sincos

sinsincos

cossin

qqq

qq

qqq

qq-

+-

> >H H

(A) 1101

> H

(B) 1001

> H

(C) 11

11

> H

(D) 1415

> H

4 - DA ] [ 6 ] [ Contd...

017. Find a matrix A, if -

2134

33

68

A=-

=-

-> >H H

(A) 12

94-

-> H

(B) 10

42-

> H

(C) 1414-

> H

(D) 21

94

- -

-> H

018. If f (x) =x aabab

abx bbc

acbcx c

2

2

2

+

+

+

, find f (x)

(A) 3 2x x a b c2 2 2 2+ + +_ i

(B) 2 4x x a b2 2 2+ +_ i

(C) 4 2x x bx2+ +

(D) 4 3x x a b c2+ + +_ i

019. If x

x x2

332

3- -

= , find the value of x

(A) 21 , – 3

(B) 3, 3

(C) 4, 2

(D) – 3,

017. `{X

2134

33

68

A=-

=-

-> >H H hmo Vmo ‘¡{Q´Šg A

H$m ‘mZ Š`m hmoJm-

(A) 12

94-

-> H

(B) 10

42-

> H

(C) 1414-

> H

(D) 21

94

- -

-> H

018. `{X f (x) =x aabab

abx bbc

acbcx c

2

2

2

+

+

+

, hmo Vmo

f (x) H$m ‘mZ Š`m hmoJm-

(A) 3 2x x a b c2 2 2 2+ + +_ i

(B) 2 4x x a b2 2 2+ +_ i

(C) 4 2x x bx2+ +

(D) 4 3x x a b c2+ + +_ i

019. `{X x

x x2

332

3- -

= , hmo Vmo x H$m ‘mZ Š`m

hmoJm-

(A) 21 , – 3

(B) 3, 3

(C) 4, 2

(D) – 3,

4 - DA ] [ 7 ] [ PTO

020. If from a pack of 52 playing cards, one card is drawn at random. What is the probability that it is either a king or queen?

(A) 131

(B) 132

(C) 263

(D) 521

021. What is the Value of tan

tan

1 22 21

1 22 21

2

2

+

-

(A) 2

1

(B) 12

(C) 32

(D) 2

022. What is the value of 3 sin 20º – 4 sin3 20.

(A) 1 (B) 21

(C) 32 (D) 0

023. If 1–tan a2 2q = then sec tan cosec3q q q+ = ?

(A) (2– 3)3/2

(B) (2– a2)1/2

(C) (2– a2)2/3

(D) 1

020. `{X 52 Vmg Ho$ nËVm| ‘| go EH$ nËVm {~Zm H«$‘ Ho$ {ZH$mbm OmVm h¡ Vmo amOm `m amZr H$s {H$VZr àm{`H$Vm hmoJr?

(A) 131

(B) 132

(C) 263

(D) 521

021. tan

tan

1 22 21

1 22 21

2

2

+

- H$m ‘mZ Š`m hmoJm-

(A) 21

(B) 12

(C) 32

(D) 2

022. 3 sin 20º – 4 sin3 20 H$m ‘mZ Š`m hmoJm?

(A) 1 (B) 21

(C) 32 (D) 0

023. `{X 1–tan a2 2q = Vmo sec tan cosec3q q q+ = H$m ‘mZ Š`m hmoJm?

(A) (2– 3)3/2

(B) (2– a2)1/2

(C) (2– a2)2/3

(D) 1

4 - DA ] [ 8 ] [ Contd...

024. The lines 2x – 3y & 3x – 4y = 7 are diameters of a circle of are 154 square units. An equator of this circle is (p = 22/7)

(A) 2 – 2 62x y x y2 2+ + =

(B) 2 – 2 47x y x y2 2+ + =

(C) – 2 2 47x y x y2 2+ + =

(D) – 2 2 62x y x y2 2+ + =

025. What will be the value of dxdy

if x – y = p?

(A) 1 (B) 3 (C) 1/4 (D) 1/2

026. Find dxdy

, if x = a(q + sin q),

y = a(1– cosq).

(A) sin2q

(B) cos 2q

(C) tan 2q

(D) tan2q

027. If xx1 722+ = , then x

x133+ will be?

(A) 38 (B) 29 (C) 18 (D) 28

028. If – ,ax bx c a x p2 2+ + = _ i then, what

is the relation between a, b, c? (A) 4b ac2

=

(B) 2b a c= +

(C) b ac2=

(D) 1abc =

024. `{X aoIm 2x – 3y Am¡a 3x – 4y = 7 EH$ d¥ËV

H$m ì`mg h¡ Am¡a joÌ’$b 154 ‘r2 hmo Vmo d¥ËV

H$m g‘r. Š`m hmoJm (p = 22/7)

(A) 2 – 2 62x y x y2 2+ + =

(B) 2 – 2 47x y x y2 2+ + =

(C) – 2 2 47x y x y2 2+ + =

(D) – 2 2 62x y x y2 2+ + =

025. `{X x – y = p hmo Vmo dxdy

H$m ‘mZ Š`m hmoJm?

(A) 1 (B) 3 (C) 1/4 (D) 1/2

026. `{X x = a (q + sin q), y = a(1– cosq) hmo Vmo

dxdy

Š`m hmoJm?

(A) sin2q

(B) cos 2q

(C) tan 2q

(D) tan2q

027. `{X xx1 722+ = , Vmo x

x133+ H$m ‘mZ Š`m

hmoJm- (A) 38 (B) 29 (C) 18 (D) 28

028. `{X – ,ax bx c a x p2 2+ + = _ i hmo Vmo a, b,

c ‘| Š`m g§~§Y hmoJm- (A) 4b ac2

=

(B) 2b a c= +

(C) b ac2=

(D) 1abc =

4 - DA ] [ 9 ] [ PTO

029. x yx

x yy

y xxy2

2 2- + + +-

will be =?

(A) x y+

(B) 1

(C) – 1

(D) x yx y2 2

2 3

+

+

030. 2 sin q = x x1+ , then

(A) x = ± 1

(B) – 1 < x < 1

(C) x = 1

(D) None of these

031. If x = tan 15º then what will be the value

of xx122+ .

(A) 16 (B) 12 (C) 10 (D) 14

032. If coscos

sinsin

2

4

2

4

βα

βα

+ = 1, then

coscos

sinsin

2

4

2

4

α

β

α

β+ will be -

(A) 4 (B) 0

(C) 81 (D) 1

033. If sin cos sin cosx y3 3q q q q+ = & x sin

q = y cos q, then x2 + y2 = ?

(A) 0 (B) 2

(C) 4 (D) 1

029. x yx

x yy

y xxy2

2 2- + + +-

=?

(A) x + y

(B) 1

(C) – 1

(D) x yx y2 2

2 3

+

+

030. 2 sin q = x x1+ , V~-

(A) x = ±1

(B) – 1 < x < 1

(C) x = 1

(D) BZ‘| go H$moB© Zht

031. `{X x = tan 15º Vmo xx122+ H$m ‘mZ Š`m

hmoJm-

(A) 16 (B) 12

(C) 10 (D) 14

032. `{X coscos

sinsin

2

4

2

4

βα

βα

+ = 1 Vmo coscos

sinsin

2

4

2

4

α

β

α

β+

H$m ‘mZ Š`m hmoJm-

(A) 4 (B) 0

(C) 81 (D) 1

033. `{X sin cos sin cosx y3 3q q q q+ = Am¡a x sin q = y cos q V~ x2 + y2 H$m ‘mZ Š`m hmoJm-

(A) 0 (B) 2 (C) 4 (D) 1

4 - DA ] [ 10 ] [ Contd...

034. ?sin 22 21 =

(A) 22 2-

(B) 23 2-

(C) 2

2 2+

(D) 2

2 2-

035. ax36 2

4

-f p, its factors will be

(A) x ax

ax6 6

2

2

2

- +d fn p

(B) 6 x ax

ax6

2 2

+ -d dn n

(C) 6 x ax

ax6

2 2

- +d dn n

(D) 6 x ax

ax6

2 2

- -d dn n

036. If a b c ab bc ca2 2 2+ + = + + , then

a b c3 3 3+ + will be equal to?

(A) 3 abc2

_ i

(B) 3a b c2 2 2

(C) 3abc

(D) None of these

037. In a school, there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that the chosen student is a girl?

(A) 43 (B) 110

(C) 51 (D) 7

3

034. ?sin 22 21 = H$m ‘mZ hmoJm-

(A) 22 2-

(B) 23 2-

(C) 2

2 2+

(D) 2

2 2-

035. ax36 2

4

-f p, H$m JwUZIÊS> hmoJm-

(A) x ax

ax6 6

2

2

2

- +d fn p

(B) 6 x ax

ax6

2 2

+ -d dn n

(C) 6 x ax

ax6

2 2

- +d dn n

(D) 6 x ax

ax6

2 2

- -d dn n

036. ¶{X a b c ab bc ca2 2 2+ + = + + , hmo Vmo

a b c3 3 3+ + {H$gHo$ ~am~a hmoJm?

(A) 3 abc2

_ i

(B) 3a b c2 2 2

(C) 3abc

(D) BZ‘| go H$moB© Zht

037. EH$ ñHy$b ‘| 1000 N>mÌm| ‘| go 430 b‹S>{H$`m±

h¢& 430 ‘| go 10% b‹S>{H$`m± H$jm ~mah ‘|

n‹T>Vr h¢ g§^m{dV b‹S>{H$`m| H$s àm{`H$Vm Š`m

hmoJr?

(A) 43 (B) 110

(C) 51 (D) 7

3

4 - DA ] [ 11 ] [ PTO

038. What will be the value of x dx2

1

2

# afterevaluating it?

(A) 98

(B) 52

(C) 76

(D) 57

039. What will be sin x dx1 20

4

+

p

w ?

(A) – 1

(B) 1

(C) 0

(D) None of these

040. What will be the value of x ex

0

1

w dx?

(A) 1

(B) 21

(C) 0

(D) None of these

041. If [1 × 1] x

1215

353

212

12 0=

R

T

SSSS

R

T

SSSS

V

X

WWWW

V

X

WWWW

, then what

will be x?

(A) – 1 or – 7

(B) – 2 or – 14

(C) – 3 or – 6

(D) – 4 or – 10

038. gab H$aZo na x dx2

1

2

# H$m ‘mZ Š`m hmoJm-

(A) 98

(B) 52

(C) 76

(D) 57

039. sin x dx1 20

4

+

p

w ? H$m ‘mZ Š`m hmoJm-

(A) – 1

(B) 1

(C) 0

(D) BZ‘| go H$moB© Zht

040. x ex

0

1

w dx H$m ‘mZ ³¶m hmoJm -

(A) 1

(B) 21

(C) 0

(D) BZ‘| go H$moB© Zht

041. ¶{X [1 × 1] x

1215

353

212

12 0=

R

T

SSSS

R

T

SSSS

V

X

WWWW

V

X

WWWW

, hmo Vmo x

H$m ‘mZ hmoJm?

(A) – 1 VWm – 7

(B) – 2 VWm – 14

(C) – 3 VWm – 6

(D) – 4 VWm – 10

4 - DA ] [ 12 ] [ Contd...

042. If 1107

A=-> H &

1001

I= > H , then find K

so that A2 = 8A + KI.

(A) – 3

(B) 9

(C) – 5

(D) – 7

043. If 213

104-

-R

T

SSSS

V

X

WWWW A =

119

8222

10515

- -

-

-

-

R

T

SSSS

V

X

WWWW what

will be A?

(A) A = 37

24

72-

-> H

(B) A = 13

24

50

- -> H

(C) None of these

(D) A = 72

46

02-

-

-> H

044. What will be the maximum value of the function f (x) = – (x – 1)2 + 2 on R?

(A) 3 (B) 1

(C) 2 (D) 4

045. Find the maximum & minimum value of the function f (x) = |sin4x + 3| on R?

(A) Max – 4 Min – 2

(B) Max – 5 Min – 2

(C) Max – 3 Min – 1

(D) None of these

042. ¶{X 1107

A=-> H &

1001

I= > H , Vmo K H$m

‘mZ ¶{X A2 = 8A + KI.

(A) – 3

(B) 9

(C) – 5

(D) – 7

043. ¶{X 213

104-

-R

T

SSSS

V

X

WWWW A =

119

8222

10515

- -

-

-

-

R

T

SSSS

V

X

WWWW Vmo

A H$m ‘mZ-

(A) A = 37

24

72-

-> H

(B) A = 13

24

50

- -> H

(C) BZ‘| go H$moB© Zht

(D) A = 72

46

02-

-

-> H

044. ’$bZ f (x) = – (x – 1)2 + 2 on R H$m A{YH$V‘ ‘mZ ³¶m hmoJm -

(A) 3 (B) 1

(C) 2 (D) 4

045. ’$bZ f (x) = |sin4x + 3| on R H$m A{YH$V‘ ‘mZ ³¶m hmoJm?

(A) A{YH$V‘ – 4 ݶyZV‘ – 2

(B) A{YH$V‘ – 5 ݶyZV‘ – 2

(C) A{YH$V‘ – 3 ݶyZV‘ – 1

(D) BZ‘| go H$moB© Zht

4 - DA ] [ 13 ] [ PTO

046. What will be the point of local maximum and local maximum value of the function ( ) ,f x x x x1 0>= -

(A) Point of local max x 21- = Local

max value 32 2-

(B) Point of local max x 32- = Local

max value 3 32-

(C) Point of local max x 23- = Local

max value 23 2-

(D) Point of local max x 41- = Local

max value 34 3-

047. If f (2) = 4 and f´(2) =1, then find

limx 2"

( ) ( )x

xf f x2

2 2-

-

(A) 1 (B) 0

(C) 2 (D) None of these

048. If ( ) 2 7f x x x2= + + , what will be f (3)

(A) 3 (B) 5

(C) 4 (D) 8

049. Let f (x) = | x | and g(x) = | x3|, then–

(A) f (x) and g (x) both are continous at x = 0

(B) f(x) and g(x) both are differentiable at x = 0

(C) f(x) is differentiable but g(x) is not differentiable at x = 0

(D) f(x) and g (x) both are not differentiable at x = 0

046. ’$bZ ( ) ,f x x x x1 0>= - Ho$ {bE A{YH$V‘

ñWmZr` d A{YH$V‘ ñWmZr` ‘mZ hmoJm-

(A) Point of local max x 21- = Local

max value 32 2-

(B) Point of local max x 32- = Local

max value 3 32-

(C) Point of local max x 23- = Local

max value 23 2-

(D) Point of local max x 41- = Local

max value 34 3-

047. ¶{X f (2) = 4 Am¡a f´(2) =1, Vmo

limx 2"

( ) ( )x

xf f x2

2 2-

- H$m ‘mZ hmoJm -

(A) 1 (B) 0

(C) 2 (D) BZ‘| go H$moB© Zht

048. ¶{X ( ) 2 7f x x x2= + + , hmo Vmo f (3) H$m ‘mZ

³¶m hmoJm -

(A) 3 (B) 5 (C) 4 (D) 8

049. ‘mZm f (x) = | x | d g(x) = | x3|, Vmo -

(A) f (x) and g (x) both are continous at x = 0

(B) f(x) and g(x) both are differentiable at x = 0

(C) f(x) is differentiable but g(x) is not differentiable at x = 0

(D) f(x) and g (x) both are not differentiable at x = 0

4 - DA ] [ 14 ] [ Contd...

050. Let f (x) = (x + | x |) | x |. Then for all x

(A) f is continuous

(B) f is differentiable for some x

(C) f ′ is continuous

(D) f & f ′ both are continuous

051. Hamayun’s Tomb is situated in

(A) Punjab

(B) Madhya Pradesh

(C) Uttar Pradesh

(D) Delhi

052. Architect B.V. Doshi Designed

(A) IIT Kanpur

(B) IIT Delhi

(C) IIM Ahmedabad

(D) IIM Bengaluru

053. Who designed the city of Chandigarh?

(A) Edward Lutyens

(B) Richard Rogers

(C) Le Corbusier

(D) Aldo Rossi

054. Which stone is used in Dilwara temples?

(A) Granite

(B) Marble

(C) Sandstone

(D) Kota

055. Major component of brick is

(A) Silica (B) Nickel

(C) Carbon (D) Magnesia

050. ‘mZm f (x) = (x + | x |) | x |. Vmo Hw$b x Ho$ {bE-

(A) f is continuous

(B) f is differentiable for some x

(C) f ′ is continuous

(D) f & f ′ both are continuous

051. hþ‘mD±° H$m ‘H$~am H$hm° h¡ ?

(A) n§Om~

(B) ‘Ü` àXoe

(C) CËVa àXoe

(D) {Xëbr

052. dmñVw{dX ~mb H¥$îU Xmofr Zo BZ g~ ‘| go Š`m {S>OmBZ {H$`m Wm?

(A) AmB©. AmB©. Q>r. H$mZnwa (B) AmB©. AmB©. Q>r. {Xëbr

(C) AmB©. AmB©. E‘. Ah‘Xm~mX

(D) AmB©. AmB©. E‘. ~|Jmbwê$

053. MÊS>rJ‹T> {H$gZo {S>OmBZ {H$¶m Wm? (A) ES>dS©> bw{Q>`Ýg

(B) [aMS©> am°Og©

(C) b H$ma~y{µO¶a

(D) EëS>mo amogr

054. {Xbdmam ‘pÝXa H$m¡Z go nËWa go ~Zm h¡?

(A) J«oZmBQ>

(B) ‘m~©b

(C) g¢S>ñQ>moZ

(D) H$moQ>m

055. BªQ> H$s ~ZmdQ> ‘| A{YH$m§e ^mJ {H$gH$m hmoVm h¡?

(A) {g{bH$m (B) {ZŠH$b

(C) H$m~©Z (D) ‘¡J{Z{g`m

4 - DA ] [ 15 ] [ PTO

056. Which of the following is a flowering tree?

(A) Arjun (B) Ashok (C) Teak (D) Amaltas

057. Which of the following is rock cut temple?

(A) Meenakshi Temple (B) Kandariya Mahadeo Temple (C) Kailashanath Temple (D) Lingraja Temple

058. The three primary colours are

(A) Red, Blue and Yellow (B) Red, Blue and Green (C) Red, Blue and Black (D) Red, White and Black

059. The Extension of the Louvre, Paris, in the form of a pyramid is designed by

(A) Eero Saarinen (B) I.M.Pei (C) John Utzon (D) Jane Drew

060. Which of these does not form part of Reinforced Cement Concrete?

(A) Steel (B) Sand (C) Lime (D) Cement

056. BZ ‘| go H$m¡Z go no‹S> na a§JrZ ’y$b AmVo h¢?

(A) AO©wZ

(B) AemoH$

(C) Q>rH$

(D) A‘bVmg

057. BZ‘| go H$m¡Z gm "am°H$ H$Q>' ‘pÝXa h¡ ?

(A) ‘rZmjr ‘pÝXa

(B) H$ÝXm[a`m ‘hmXod ‘pÝXa

(C) H¡$bmeZmW ‘pÝXa

(D) qbJamO ‘pÝXa

058. VrZ ‘m¡{bH$ (àmB©‘ar) a§J H$m¡Z go h¢ ?

(A) bmb, Zrbm Am¡a nrbm

(B) bmb, Zrbm Am¡a ham

(C) bmb, Zrbm Am¡a H$mbm

(D) bmb, g’o$X Am¡a H$mbm

059. byd«, n¡[ag' H$m {dñVma (EŠgQ>¡ÝeZ) Omo {H$

EH$ {nam{‘S> H$s Vah h¡, {H$gZo {H$`m Wm ?

(A) E¡amo g¡[aZZ

(B) AmB©. E‘. nmB©.

(C) Om°Z AQ>OZ

(D) OoZ S¯>

060. BZ g~ ‘| go H$m¡Z gm [aBZ’$moñS©> {g‘oÝQ> H$mÝH««$rQ

(R.C.C.) Ho$ g§`moOZ H$m {hñgm Zht hmoVm ?

(A) ñQ>rb

(B) g¢S>

(C) bmB©‘

(D) gr‘oÝQ>

4 - DA ] [ 16 ] [ Contd...

In questions 61-70, identify the logo and select the correct answer from the options below:

061.

(A) IBM (B) BSNL (C) TATA (D) INTEL

062.

(A) Facebook (B) Firefox (C) Fiat (D) Fendi

063.

(A) Make in India (B) Jaguar (C) King Power (D) WWF

064.

(A) Adidas (B) Mahindra (C) Amazon (D) Avon

àíZ 61-70 ‘| {X`o J`o bmoJmo H$mo nhMmZ| d {X`o JE {dH$ënm| ‘| go ghr CËVa M`Z H$ao|&

061.

(A) AmB©. ~r. E‘. (B) ~r. Eg. EZ. Eb. (C) Q>mQ>m (D) BZQ>¡b

062.

(A) ’o$g~wH$ (B) ’$m`°a’$m°Šg (C) {’$`Q> (D) ’o$ÝS>r

063.

(A) ‘oH$ BZ BpÝS>`m (B) O¡½`ma (C) qH$J nmda (D) S>ãë`y. S>ãë`y. E’$.

064.

(A) ES>rS>mg (B) ‘{hÝÐm (C) A‘oOm°Z (D) Edm°Z

4 - DA ] [ 17 ] [ PTO

065.

(A) Surya (B) Aadhaar (C) Phillips (D) ONGC

066.

(A) Mitsubushi (B) Mahendra (C) Masterchef (D) McDonalds

067.

(A) Chartered Accountant (B) Council of Auditors (C) Council of Architecture (D) Chamber of Auctioneers

068.

(A) Airport Authority of India (B) Sports Authority of India (C) Electricity Commission of India (D) Audit and Accounts Commission

069.

(A) Asian Paints (B) Digital India (C) Planning Commission (D) Smart City

065.

(A) gy`m© (B) AmYma (C) {’${bßg (D) Amo. EZ. Or. gr.

066.

(A) {‘Ëgw~wfr (B) ‘{hÝÐm (C) ‘mñQ>af¡’$ (D) ‘¡H$S>m°ZëS>g

067.

(A) MmQ>©S©> AH$mD$°Q>¢Q> (B) H$mD$pÝgb Am°’$ Am°{S>Q>g© (C) H$mD$pÝgb Am°’$ Am{H©$Q>oŠMa (D) Moå~a Am°’$ H$m°‘g©

068.

(A) E`anmoQ>© AWmo[a{Q> Am°’$ BpÝS>`m (B) ñnmoQ>²©g AWmo[a{Q> Am°’$ BpÝS>`m (C) Bb¡pŠQ´{gQ>r H${‘eZ Am°’$ BpÝS>`m (D) Am°{S>Q> EÊS> AH$mD$§Q²g H${‘eZ

069.

(A) E{e`Z noÝQ²g (B) {S>OrQ>b BpÝS>`m (C) ßb¡qZJ H${‘eZ (D) ñ‘mQ>© {g{Q>

4 - DA ] [ 18 ] [ Contd...

070.

(A) State Bank of India

(B) Metro

(C) Uber

(D) Oriental Bank of Commerce

071. Select the correct figure from the options to continue the series to replace the question mark.

(A)

(B)

(C)

(D)

070.

(A) ñQ>oQ> ~¢H$ Am°’$ BpÝS>`m

(B) ‘¡Q´mo

(C) D$~oa

(D) Amo[aE§Q>b ~¢H$ Am°’$ H$m°‘g©

071. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A)

(B)

(C)

(D)

4 - DA ] [ 19 ] [ PTO

072. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

073. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

072. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

073. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

4 - DA ] [ 20 ] [ Contd...

074. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

075. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

074. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

075. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

4 - DA ] [ 21 ] [ PTO

076. Select the correct figure from the options to continue the series to replace the question mark.

(A)

(B)

(C)

(D)

077. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

076. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A)

(B)

(C)

(D)

077. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

4 - DA ] [ 22 ] [ Contd...

078. Select the correct figure from the options to continue the series to replace the question mark.

(A)

(B)

(C)

(D)

079. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

078. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A)

(B)

(C)

(D)

079. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

4 - DA ] [ 23 ] [ PTO

080. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

081. Select the correct figure from the options to continue the series to replace the question mark.

(A) (B)

(C) (D)

080. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

081. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ {MÌ H$s loUr nyar H$aoJm&

(A) (B)

(C) (D)

4 - DA ] [ 24 ] [ Contd...

082. Write the missing numeral.

(A) 14 (B) 21 (C) 28 (D) 18

083. Write the missing numeral.

(A) 3 (B) 2 (C) 1 (D) 8

084. How many faces/surfaces does this object have?

(A) 12 (B) 10 (C) 13 (D) 15

082. bwßV g§»`m kmV H$a|&

(A) 14 (B) 21 (C) 28 (D) 18

083. bwßV g§»`m kmV H$a|&

(A) 3 (B) 2 (C) 1 (D) 8

084. ZrMo Xr JB© dñVw Ho$ Vbm| H$s Hw$b g§»`m kmV H$a|&

(A) 12 (B) 10 (C) 13 (D) 15

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085. How many faces/surfaces does this object have?

(A) 14 (B) 15

(C) 12 (D) 13

086. The below diagram is the top view of an object. Identify the object with the given top view that cannot have the elevation from the side of the arrow.

(A)

(B)

(C)

(D)

085. ZrMo Xr JB© dñVw Ho$ Vbm| H$s Hw$b g§»`m kmV H$a|&

(A) 14 (B) 15

(C) 12 (D) 13

086. àíZ {MÌ EH$ dñVw Ho$ D$na H$m Ñî` Xem©Vm h¡& {X`o JE {dH$ënm| ‘| go CgH$mo A§{H$V H$s{OE Omo Bg dñVw H$m {MpÝhV Ñí` Zht h¢&

(A)

(B)

(C)

(D)

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087. The below diagram is the top view of an object. Identify the front elevation of this object.

(A)

(B)

(C)

(D)

088. How many triangles are there in this figure?

(A) 27 (B) 25

(C) 23 (D) 21

087. àíZ {MÌ EH$ dñVw Ho$ D$na H$m Ñî` Xem©Vm h¡& {X`o JE {dH$ënm| go gm‘Zo dmbo ghr Ñí` H$mo nhMmZ| &

(A)

(B)

(C)

(D)

088. ZrMo {X`o J`o {MÌ ‘| {H$VZo {ÌH$moU h¢ ?

(A) 27 (B) 25

(C) 23 (D) 21

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089. How many triangles are there in this figure?

(A) 23

(B) 27

(C) 29

(D) 31

090. How many squares are there in the figure below?

(A) 20

(B) 13

(C) 24

(D) 17

091. How many squares are there in the figure below?

(A) 18 (B) 19

(C) 25 (D) 27

089. ZrMo {X`o J`o {MÌ ‘| {H$VZo {ÌH$moU h¢ ?

(A) 23

(B) 27

(C) 29

(D) 31

090. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢¡ ?

(A) 20

(B) 13

(C) 24

(D) 17

091. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢ ?

(A) 18 (B) 19

(C) 25 (D) 27

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092. How many squares are there in the figure below?

(A) 11 (B) 21

(C) 24 (D) 26

093. The figure below is embedded in one of the four alternate figures. Identify it.

(A)

(B)

(C)

(D)

092. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢ ?

(A) 11 (B) 21

(C) 24 (D) 26

093. àíZ {MÌ {H$gr EH$ {dH$ën ‘| g‘m{hV h¡& ghr {dH$ën H$mo {MpÝhV H$a|&

(A)

(B)

(C)

(D)

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094. The figure below is embedded in one of the four alternate figures. Identify it.

(A)

(B)

(C)

(D)

095. Which of the following choices is the exact mirror image of the main figure given. (the mirror is on the right side of the object)

(A) (B)

(C) (D)

094. àíZ {MÌ {H$gr EH$ {dH$ën ‘| g‘m{hV h¡& ghr {dH$ën H$mo {MpÝhV H$a|&

(A)

(B)

(C)

(D)

095. àíZ {MÌ Ho$ ghr Xn©U à{V{~å~ {MÌ H$m M`Z H$a|& (Xn©U dñVw Ho$ Xm{hZo hmW H$s Va’$ h¡)

(A) (B)

(C) (D)

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096. Which of the following choices is the exact mirror image of the main figure given. (the mirror is on the right side of the object)

(A)

(B)

(C)

(D)

097. Identify the odd one.

(A) (B) (C) (D)

098. Identify the odd one.

(A) (B) (C) (D)

096. àíZ {MÌ Ho$ ghr Xn©U à{V{~å~ {MÌ H$m M`Z H$a|& (Xn©U dñVw Ho$ Xm{hZo hmW H$s Va’$ h¡)

(A)

(B)

(C)

(D)

097. {dH$ënm| ‘| go {^ÝZ dmbo H$mo {MpÝhV H$a|&

(A) (B) (C) (D)

098. {dH$ënm| ‘| go {^ÝZ dmbo H$mo {MpÝhV H$a|&

(A) (B) (C) (D)

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099. Identify the odd one.

(A) (B) (C) (D)

100. Identify the odd one.

(A) (B) (C) (D)

099. {dH$ënm| ‘| go {^ÝZ dmbo H$mo {MpÝhV H$a|&

(A) (B) (C) (D)

100. {dH$ënm| ‘| go {^ÝZ dmbo H$mo {MpÝhV H$a|&

(A) (B) (C) (D)

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SPACE FOR ROUGH WORK / H$ÀMo H$m‘ Ho$ {b¶o OJh