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UPSEE 2016 Question Paper 4

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Page 1

 PAPER-4 Aptitude Test for Architecture
PART-A : Mathematics & Aesthetic Sensitivity
àíZnwpñVH$m H«$‘m§H$ àíZnwpñVH$m H$moS>

DA
Question Booklet Sr. No.
AZwH«$‘m§H$ / Roll No. PART-B : Drawing Aptitude

Q. Booklet Code

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¡& narjm Ho$ÝÐmܶj H$s ‘moha
I have read and understood the instructions given on page No. 1 Seal of Superintendent of Examination Centre

narjmWu H$m hñVmja /Signature of Candidate
(AmdoXZ nÌ Ho$ AwZgma /as signed in application) H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator

narjmWu H$m Zm‘/
Name of 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.”

* 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.

 
nwpñVH$m ‘| ‘wIn¥îR> g{hV n¥îR>m| H$s g§»¶m g‘¶ 2.30 K§Q>o A§H$ / Marks nwpñVH$m ‘| àíZm| H$s g§»¶m 100 Questions

No. of Pages in Booklet including title
32 Time 2.30 Hours 500 No. of Questions in Booklet
&
Drawing Sheet

PAPER-4
Aptitude Test for Architecture
PART-A : Mathematics & Aesthetic Sensitivity àíZnwpñVH$m H«$‘m§H$/ Question Booklet Sr. No.
PART-B : Drawing Aptitude

AZwH«$‘m§H$ / Roll No.
H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator
àíZnwpñVH$m H$moS>
narjmWu H$m Zm‘/
Name of Candidate : DA
Q. Booklet Code
narjm{W©¶m| Ho$ {bE {ZX}e /INSTRUCTIONS TO CANDIDATE
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$db 1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling
Zrbo ¶m H$mbo ~mb ßdmB§Q> noZ H$m hr Cn¶moJ H$a|& the bubbles in the OMR Answer Sheet.
2. SECURITY SEAL ImobZo Ho$ nhbo Aä¶Wu AnZm Zm‘, AZwH«$‘m§H$ (A§H$m| 2. Before opening the SECURITY SEAL of the question booklet, write
your Name, Roll Number ( In figures), OMR Answer-sheet Number in
‘|) Amo.E‘.Ama. CÎma-erQ> H$m H«$‘m§H$ Bg àíZ-nwpñVH$m Ho$ D$na {X¶o J¶o the space provided at the top of the Question Booklet. Non-compliance
ñWmZ na {bI|& ¶{X do Bg {ZX}e H$m nmbZ Zht H$a|Jo Vmo CZH$s CÎma-erQ> H$m of these instructions would mean that the Answer Sheet can not be
‘yë¶m§H$Z Zhr hmo gHo$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& evaluated leading the disqualification of the candidate.
3. à˶oH$ àíZ Mma A§H$m| H$m h¡& {Og àíZ H$m CÎma Zht {X¶m J¶m h¡, Cg na H$moB© 3. Each question carries FOUR marks. No marks will be awarded for
A§H$ Zht {X¶m Om¶oJm& JbV CÎma na A§H$ Zht H$mQ>m OmEJm& unattempted questions. There is no negative marking on wrong answer.
4. Each multiple choice questions has only one correct answer and marks
4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 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 5. Use of calculator, log table, mobile phones, any electronic gadget and
H$m à¶moJ d{O©V h¡& slide rule etc. is strictly prohibited.
6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr 6. Candidate will be allowed to leave the examination hall at the end of
Om¶oJr& examination time period only.
7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m Aݶ {b{IV ¶m N>nr gm‘J«r, {Oggo do 7. If a candidate is found in possession of books or any other printed
ghm¶Vm bo gH$Vo/gH$Vr h¢, nm¶r Om¶oJr, Vmo Cgo A¶mo½¶ Kmo{fV H$a {X¶m Om or written material from which he/she might derive assistance, he/she
gH$Vm h¡& Bgr àH$ma, ¶{X H$moB© Aä¶Wu {H$gr ^r àH$ma H$s ghm¶Vm {H$gr ^r is liable to be treated at disqualified. Similarly, if a candidate is found
ómoV go XoVm ¶m boVm (¶m XoZo H$m ¶m boZo H$m à¶mg H$aVm) hþAm nm¶m Om¶oJm, giving or obtaining (or attempting to give or obtain) assistance from any
source, he/she is liable to be disqualified.
Vmo Cgo ^r A¶mo½¶ Kmo{fV {H$¶m Om gH$Vm h¡&
8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ 8. English version of questions paper is to be considered as authentic and
‘mZm Om¶oJm& final to resolve any ambiguity.
9. a’$ 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 10. OMR sheet is placed within this paper and can be taken out from this
Paper H$s grb Ho$db nona ewé hmoZo Ho$ g‘¶ na hr Imobm Om¶oJm& paper but seal of paper must be opened only at the start of paper.

Page 2

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

PART-A / ^mJ-A
MATHEMATICS & AESTHETICS SENSITIVITY / J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r
001. ABCD is a parallelogram. If the 001. ABCD EH$ MVw^w©O h¡ `{X A, B, C Ho$
coordinates of A, B, C are (2, 3), (2, 4) {ZX}em§H$ H«$‘e: (2, 3), (2, 4) d (0, -2) hmo Vmo
and (0, – 2) respectively, what will the D erf© Ho$ {ZX}em§H$ Š`m hm|Jo?
coordinate of D.
(A) x = 2, y = -1
(A) x = 2, y = –  1
(B) x = 3, y = -2
(B) x = 3, y = – 2
(C) x = 1, y = – 3 (C) x = 1, y = -3

(D) None of these (D) BZ‘| go H$moB© Zht

002. If ` 85 amounts to ` 95 in 3 years, what 002. `{X ` 85 H$m {‘lYZ 3 dfm}§ ‘| ` 95 hmo Vmo
` 102 will amount in 5 years at the same ` 102 H$m 5 dfm}§ ‘| Cgr ã`mO Xa go {‘lYZ
rate %? Š`m hmoJm?
(A) 117 (B) 122 (A) 117 (B) 122
(C) 132 (D) 142 (C) 132 (D) 142

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

Page 3

x =9 x =9
003. If 1+ , than x = ? 003. `{X, 1+ , hmo Vmo x H$m ‘mZ hmoJm &
64 8 64 8
(A) 15 (B) 16 (A) 15 (B) 16

(C) 17 (D) 18 (C) 17 (D) 18

004.
1 2 1
If x + x = 5, then value of x + 2 = ?, 004. `{X, x + 1x = 5, Vmo x 2 + 12 = ?, H$m ‘mZ
x x
~VmAmo-
(A) 21 (B) 23
(A) 21 (B) 23
(C) 25 (D) 27
(C) 25 (D) 27

005. The cube root of 0.00000729 is - 005. 0.00000729 H$m KZ‘yb Š`m hmoJm-
(A) 0.0027 (A) 0.0027
(B) 0.027 (B) 0.027
(C) 0.0009 (C) 0.0009
(D) 0.009 (D) 0.009

006. d1 + 91
33 n = + x
C
006. Find the value of x if `{X 256 16 hmo Vmo x H$m

d1 + 91
33 n = + x
C ‘mZ Š`m hmoJm-
256 16
(A) 1 (B) 2
(A) 1 (B) 2
(C) 4 (D) 3
(C) 4 (D) 3

007. Which is the Term of 1280 in Series 5, 10, 007. loUr 5, 10, 20, 40, ............... H$m H$m¡Z-gm nX
20, 40, ...............? 1280 h¡?

(A) 7th (A) 7th
(B) 10th
(B) 10th
(C) 9th
(C) 9th
(D) BZ‘| go H$moB© Zht
(D) None of these

008. If (k – 2, (2k +1), (6 k + 3) are in GP, then 008. `{X (k – 2, (2k +1), (6 k + 3) JwUmoËVa loUr ‘|
k=? hmo Vmo k H$m ‘mZ Š`m hmoJm?
(A) 2 (B) 7 (A) 2 (B) 7

(C) 3 (D) 6 (C) 3 (D) 6

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Page 4

009. The 3rd term of a G.P. is 4. What will be 009. JwUmoËVa loUr H$m Vrgam nX 4 h¡ Vmo JwUmoËVa
the total sum of the first five terms of this loUr Ho$ àW‘ nm±M nXm| H$m `moJ Š`m hmoJm?
GP? (A) 1024
(A) 1024 (B) 1248
(B) 1248
(C) 1368
(C) 1368
(D) 1092
(D) 1092

010. g‘mÝVa loUr 3, 18, 13, ........ H$m H$m¡Z-gm nX
010. Which term of AP 3, 18, 13, ........ is 78?
78 h¡?
(A) A23 (A) A23
(B) A19 (B) A19
(C) A16 (C) A16
(D) A22 (D) A22

011. g‘mÝVa loUr 3, 15, 27, 39.......... H$m H$m¡Z-gm
011. Which term of the AP 3, 15, 27, 39..........
nX 54d| nX go 132 A{YH$ hmoJm?
will be 132 more than its 54th term?
(A) 57 (B) 92
(A) 57 (B) 92
(C) 63 (D) 65
(C) 63 (D) 65
012. cos(tan– 1 x) H$mo hb H$aZo na Š`m àmá hmoJm-
012. Evaluating cos(tan– 1 x) we get :– -1
-1 (A) 2
(A) 2
1+ x
1+ x
2
2
(B) 1 + x
(B) 1 + x
1
(C)
1 1+ x
2
(C) 2
1+ x
(D) 1
(D) 1
013. `{X x, y, z ∈ [– 1, 1] Bgr àH$ma
013. If x, y, z ∈ [– 1, 1] such that 3p
sin– 1 x + sin– 1 y z =
, hmo, Vmo
3p 2
sin– 1 x + sin– 1 y z = , find the value of 9
2 2006 2007 2008
x + y + z - 2006
2006 2007 2008 9 x +y +z
2007 2008
x + y + z - 2006 2007 2008 H$m ‘mZ Š`m hmoJm?
x +y +z
(A) 0 (B) 1 (A) 0 (B) 1

(C) – 1 (D) 2 (C) – 1 (D) 2

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

Page 5

5 1 5
Evaluate tan (
1 2 we get – tan ( 2 H$mo hb H$aZo na Š`m àmá
-1 -1
014. cos 014. cos
2 3 2 3
hmoJm-
3- 5
(A)
2 3- 5
(A)
2
5+3
(B) 5+3
2 (B)
2
(C) 2
(C) 2
(D) 1
(D) 1

a+ b 2 6 2
015. If > H= > H, find the value
5 ab 5 8 a+ b 2 6 2
015. `{X > H= > H, hmo Vmo a Am¡a b H$m
5 ab 5 8
of a and b.
‘mZ Š`m hmoJm-
(A) 4, 5
(A) 4, 5
(B) 2, 4
(C) 4, 2 (B) 2, 4

(D) 0, 1 (C) 4, 2
(D) 0, 1
016. Simplify -
016. gab H$s{OE-
cos q sin q sin q - cos q
cos q > H + sin q > H
- sin q cos q cos q sin q cos q sin q sin q - cos q
cos q > H + sin q > H
- sin q cos q cos q sin q

1 0
(A) > H 1 0
1 1 (A) > H
1 1

1 0
(B) > H (B) >
1 0
H
0 1 0 1

1 1
(C) > H
1 1
(C) > H
1 1 1 1

1 1
1 1 (D) > H
(D) > H 4 5
4 5

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Page 6

017. Find a matrix A, if - 017. `{X
2 3 3 -6
2 3 3 -6 A=> H= > H hmo Vmo ‘¡{Q´Šg A
A=> H= > H -1 4 -3 8
-1 4 -3 8
H$m ‘mZ Š`m hmoJm-
1 -9
(A) > H
1 -9
(A) > H
-2 4 -2 4

1 -4
(B) > H
1 -4
(B) > H
0 2 0 2

1 1
(C) > H
1 1
(C) > H
-4 4 -4 4

-2 - 9
(D) > H
-2 - 9
(D) > H
1 -4 1 -4

2
2
x+ a ab ac
x+ a ab ac 2
2
018. `{X f (x) = ab x+ b bc , hmo Vmo
018. If f (x) = ab x+ b bc , find f (x) 2
2
ab bc x + c
ab bc x + c
f  (x) H$m ‘mZ Š`m hmoJm-
(A) 3x + 2x_ a + b + c i
2 2 2 2

(A) 3x + 2x_ a + b + c i
2 2 2 2

(B) 2x + 4x_ a + b i
2 2 2

(B) 2x + 4x_ a + b i
2 2 2
2
(C) 4x + 2x + bx 2
(C) 4x + 2x + bx
(D) 4x + 3x_ a + b + c i
2

(D) 4x + 3x_ a + b + c i
2

x- 2 -3 x- 2 -3
019. If = 3 , find the value of x 019. `{X = 3 , hmo Vmo x H$m ‘mZ Š`m
3x 2x 3x 2x

1 hmoJm-
(A) ,–3
2 1
(A) ,–3
2
(B) 3, 3
(B) 3, 3
(C) 4, 2
(C) 4, 2
(D) – 3,
(D) – 3,

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

Page 7

020. If from a pack of 52 playing cards, one 020. `{X 52 Vmg Ho$ nËVm| ‘| go EH$ nËVm {~Zm H«$‘
card is drawn at random. What is the Ho$ {ZH$mbm OmVm h¡ Vmo amOm `m amZr H$s {H$VZr
probability that it is either a king or àm{`H$Vm hmoJr?
queen? 1
(A)
1 13
(A)
13 2
(B)
2 13
(B)
13 3
(C)
3 26
(C)
26 1
(D)
1 52
(D)
52
21
2 1 1 - tan 22
1 - tan 22 2
2 021. H$m ‘mZ Š`m hmoJm-
021. What is the Value of 2 1
2 1 1 + tan 22
1 + tan 22 2
2
1 1
(A) (A)
2 2
1 1
(B) (B)
2 2

3 3
(C) (C)
2 2

(D) 2 (D) 2

022. What is the value of 3 sin 20º – 4 sin3 20. 022. 3 sin 20º – 4 sin3 20 H$m ‘mZ Š`m hmoJm?
1 1
(A) 1 (B) (A) 1 (B)
2 2
3 3
(C) (D) 0 (C) (D) 0
2 2

023.
2 2
If tan q = 1– a then 023. `{X tan 2 q = 1– a 2 Vmo
3
3
sec q + tan q cosec q = ? sec q + tan q cosec q = H$m ‘mZ Š`m hmoJm?

(A) (2– 3)3/2 (A) (2– 3)3/2

(B) (2– a2)1/2 (B) (2– a2)1/2

(C) (2– a2)2/3 (C) (2– a2)2/3

(D) 1 (D) 1

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Page 8

024. The lines 2x – 3y & 3x – 4y = 7 are 024. `{X aoIm 2x – 3y Am¡a 3x – 4y = 7 EH$ d¥ËV
diameters of a circle of are 154 square H$m ì`mg h¡ Am¡a joÌ’$b 154 ‘r2 hmo Vmo d¥ËV
units. An equator of this circle is
H$m g‘r. Š`m hmoJm (p = 22/7)
(p = 22/7)
2 2
2 2 (A) x + y + 2x – 2y = 62
(A) x + y + 2x – 2y = 62
2 2
2 2 (B) x + y + 2x – 2y = 47
(B) x + y + 2x – 2y = 47
2 2
2 2
(C) x + y – 2x + 2y = 47 (C) x + y – 2x + 2y = 47
2 2
2 2
(D) x + y – 2x + 2y = 62 (D) x + y – 2x + 2y = 62

dy dy
025. What will be the value of if 025. `{X x – y = p hmo Vmo dx H$m ‘mZ Š`m hmoJm?
dx
x – y = p? (A) 1 (B) 3
(A) 1 (B) 3 (C) 1/4 (D) 1/2
(C) 1/4 (D) 1/2
026. `{X x = a (q + sin q), y = a(1– cosq) hmo Vmo
dy dy
026. Find , if x = a(q + sin q), dx
Š`m hmoJm?
dx
y = a(1– cosq). (A) sin2q
q
(A) sin2q (B) cos
2
q q
(B) cos (C) tan
2 2
q
(C) tan
2 (D) tan2q

(D) tan2q
027. `{X x 2 + 12 = 7 , Vmo x3 + 13 H$m ‘mZ Š`m
x x
2 1 = 3 1 hmoJm-
027. If x + 2 7 , then x + 3 will be?
x x (A) 38
(A) 38 (B) 29
(B) 29 (C) 18
(C) 18 (D) 28
(D) 28
2

2
028. `{X ax 2 + bx + c = a_ x – p i , hmo Vmo a, b,
If ax + bx + c = a _ x – p i , then, what
2
028. c ‘| Š`m g§~§Y hmoJm-
is the relation between a, b, c? 2
(A) b = 4ac
2
(A) b = 4ac (B) 2b = a + c
(B) 2b = a + c 2
(C) b = ac
2
(C) b = ac (D) abc = 1
(D) abc = 1

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Page 9

x y 2xy x y 2xy
029. x- y + x+ y + 2 2 will be =? 029. x- y + x+ y + 2 2 =?
y -x y -x
(A) x + y (A) x + y

(B) 1 (B) 1
(C) – 1
(C) – 1
2 3
2 3 x +y
x +y (D) 2 2
(D) 2 2 x +y
x +y

1 1
030. 2 sin q = x + x , then 030. 2 sin q = x + x , V~-
(A) x = ± 1 (A) x = ±1

(B) – 1 < x < 1 (B) – 1 < x < 1

(C) x = 1 (C) x = 1

(D) None of these (D) BZ‘| go H$moB© Zht

031. If x = tan 15º then what will be the value 031. `{X x = tan 15º Vmo x 2 + 12 H$m ‘mZ Š`m
1 x
2
of x + 2 . hmoJm-
x
(A) 16 (B) 12 (A) 16 (B) 12
(C) 10 (D) 14 (C) 10 (D) 14

4 4 4 4
cos α sin α 4 4
cos α sin α cos β sin β
032. If 2 + 2 = 1, then 032. `{X 2 + 2 = 1 Vmo 2 + 2
cos β sin β cos β sin β cos α sin α
4 4
cos β sin β H$m ‘mZ Š`m hmoJm-
2 + 2 will be -
cos α sin α
(A) 4 (B) 0
(A) 4 (B) 0
1
(C) (D) 1
1 8
(C) (D) 1
8
033. `{X x sin3 q + y cos3 q = sin q cos q Am¡a x
3 3
033. If x sin q + y cos q = sin q cos q & x sin sin q = y cos q V~ x2 + y2 H$m ‘mZ Š`m
q = y cos q, then x2 + y2 = ? hmoJm-
(A) 0 (B) 2 (A) 0 (B) 2
(C) 4 (D) 1
(C) 4 (D) 1

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1 1
034. sin 22 = ? 034. sin 22 = ? H$m ‘mZ hmoJm-
2 2
2- 2 2- 2
(A) (A)
2 2
3- 2 3- 2
(B) (B)
2 2
2+ 2 2+ 2
(C) (C)
2 2
2- 2 2- 2
(D) (D)
2 2

4 4
x x
035. f 36 - 2 p , its factors will be 035. f 36 - 2 p , H$m JwUZIÊS> hmoJm-
a a
2 2 2 2
(A) 6 d x - a n f 6 + 2 p (A) 6 d x - a n f 6 + 2 p
x x x x
a a
2 2 2 2
(B) 6 d x + a n d 6 - a n (B) 6 d x + a n d 6 - a n
x x x x

2 2 2 2
(C) 6 d x - a n d 6 + a n (C) 6 d x - a n d 6 + a n
x x x x

2 2 2 2
(D) 6 d x - a n d 6 - a n (D) 6 d x - a n d 6 - a n
x x x x

2 2 2
036. If a + b + c = ab + bc + ca , then 036. ¶{X a 2 + b 2 + c 2 = ab + bc + ca , hmo Vmo
3 3 3 3 3 3
a + b + c will be equal to? a + b + c {H$gHo$ ~am~a hmoJm?
2
(A) 3 _ abc i
2
(A) 3 _ abc i
2 2 2
(B) 3a b c (B) 3a b c
2 2 2

(C) 3abc
(C) 3abc
(D) None of these
(D) BZ‘| go H$moB© Zht
037. In a school, there are 1000 students, out
of which 430 are girls. It is known that 037. EH$ ñHy$b ‘| 1000 N>mÌm| ‘| go 430 b‹S>{H$`m±
out of 430, 10% of the girls study in class h¢& 430 ‘| go 10% b‹S>{H$`m± H$jm ~mah ‘|
XII. What is the probability that a student
chosen randomly studies in class XII n‹T>Vr h¢ g§^m{dV b‹S>{H$`m| H$s àm{`H$Vm Š`m
given that the chosen student is a girl? hmoJr?
3 1 3 1
(A) (B) (A) (B)
4 10 4 10
1 3 1 3
(C) (D) (C) (D)
5 7 5 7

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2 2

038. What will be the value of # x dx after2
038. gab H$aZo na # x2 dx H$m ‘mZ Š`m hmoJm-
evaluating it? 1
8
1

(A)
8 9
(A) 2
9 (B)
2 5
(B) 6
5 (C)
6 7
(C) 7
7 (D)
7 5
(D)
5
p 4

p 4 039. w 1 + sin 2x dx ? H$m ‘mZ Š`m hmoJm-
039. What will be w 1 + sin 2x dx ? 0

0
(A) – 1 (A) – 1
(B) 1 (B) 1
(C) 0 (C) 0
(D) None of these (D) BZ‘| go H$moB© Zht
1
1

040. What will be the value of w x e dx?x 040. w x e dx H$m ‘mZ ³¶m hmoJm -
x

0
0
(A) 1 (A) 1
1 1
(B) (B)
2 2
(C) 0 (C) 0
(D) None of these (D) BZ‘| go H$moB© Zht

R VR V R VR V
S 1 3 2 W S1 W S 1 3 2 W S1 W
041. If [1 × 1] S 2 5 1 W S2 W = 0 , then what 041. ¶{X [1 × 1] SS 2 5 1 WW SS2 WW = 0 , hmo Vmo x
S WS W
S15 3 2 W S x W S15 3 2 W S x W
T XT X T XT X
will be x? H$m ‘mZ hmoJm?
(A) – 1 or – 7 (A) – 1 VWm – 7
(B) – 2 or – 14 (B) – 2 VWm – 14
(C) – 3 or – 6 (C) – 3 VWm – 6
(D) – 4 or – 10 (D) – 4 VWm – 10

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1 0 1 0 1 0 1 0
042. If A = > H& I= > H , then find K 042. ¶{X A = > H& I= > H , Vmo K H$m
-1 7 0 1 -1 7 0 1
so that A2 = 8A + KI. ‘mZ ¶{X A2 = 8A + KI.
(A) – 3 (A) – 3
(B) 9 (B) 9
(C) – 5 (C) – 5
(D) – 7 (D) – 7

R V R V R V R V
S 2 -1W S- 1 - 8 - 10 W S 2 -1W S- 1 - 8 - 10 W
043. If S 1 0 W A = S 1 - 2 - 5 W what 043. ¶{X SS 1 0 WW A = SS 1 - 2 - 5 WW Vmo
S W S W S- 3 4 W S 9 22 15 W
S- 3 4 W S 9 22 15 W
T X T X T X T X
will be A? A H$m ‘mZ-
3 2 -7
(A) A = > H
3 2 -7
(A) A = > H
7 -4 2 7 -4 2

1 - 2 -5
(B) A = > H
1 - 2 -5
(B) A = > H
3 4 0 3 4 0

(C) None of these (C) BZ‘| go H$moB© Zht
7 -4 0
(D) A = > H
7 -4 0
(D) A = > H
-2 6 -2 -2 6 -2

044. What will be the maximum value of the 044. ’$bZ f (x) = – (x – 1)2 + 2 on R H$m A{YH$V‘
function f (x) = – (x – 1)2 + 2 on R? ‘mZ ³¶m hmoJm -
(A) 3 (B) 1 (A) 3 (B) 1
(C) 2 (D) 4 (C) 2 (D) 4

045. Find the maximum & minimum value of 045. ’$bZ f (x) = |sin4x + 3| on R H$m A{YH$V‘
the function f (x) = |sin4x + 3| on R? ‘mZ ³¶m hmoJm?
(A) Max – 4 Min – 2 (A) A{YH$V‘ – 4 ݶyZV‘ – 2
(B) Max – 5 Min – 2 (B) A{YH$V‘ – 5 ݶyZV‘ – 2
(C) Max – 3 Min – 1 (C) A{YH$V‘ – 3 ݶyZV‘ – 1
(D) None of these (D) BZ‘| go H$moB© Zht

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046. What will be the point of local maximum 046. ’$bZ f (x) = x 1 - x , x >0 Ho$ {bE A{YH$V‘
and local maximum value of the function
ñWmZr` d A{YH$V‘ ñWmZr` ‘mZ hmoJm-
f (x) = x 1 - x , x >0
1
1 (A) Point of local max - x = Local
(A) Point of local max - x = Local 2
2 2 2
2 2 max value -
max value - 3
3 2
2 (B) Point of local max - x = Local
(B) Point of local max - x = Local 3
3 2
2 max value -
max value - 3 3
3 3 3
3 (C) Point of local max - x = Local
(C) Point of local max - x = Local 2
2 3 2
3 2 max value -
max value - 2
2 1
1 (D) Point of local max - x = Local
(D) Point of local max - x = Local 4
4 4 3
4 3 max value -
max value - 3
3
047. ¶{X f (2) = 4 Am¡a f´(2) =1, Vmo
047. If f (2) = 4 and f´(2) =1, then find
lim xf (2) 2f (x) H$m ‘mZ hmoJm -
-
lim xf (2) 2f (x)
- x"2 x- 2
x"2 x- 2
(A) 1 (B) 0
(A) 1 (B) 0
(C) 2 (D) BZ‘| go H$moB© Zht
(C) 2 (D) None of these

2
048. ¶{X f (x) = x2 + 2x + 7 , hmo Vmo f (3) H$m ‘mZ
048. If f (x) = x + 2x + 7 , what will be f (3)
³¶m hmoJm -
(A) 3 (B) 5 (A) 3 (B) 5
(C) 4 (D) 8 (C) 4 (D) 8

049. Let f (x) = | x | and g(x) = | x3|, then– 049. ‘mZm f (x) = | x | d g(x) = | x3|, Vmo -
(A) f (x) and g (x) both are continous at (A) f (x) and g (x) both are continous at
x=0 x=0

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

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

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

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050. Let f (x) = (x + | x |) | x |. Then for all x 050. ‘mZm f (x) = (x + | x |) | x |. Vmo Hw$b x Ho$ {bE-
(A) f is continuous (A) f is continuous
(B) f is differentiable for some x (B) f is differentiable for some x
(C) f ′ is continuous (C) f ′ is continuous
(D) f & f ′ both are continuous (D) f & f ′ both are continuous

051. Hamayun’s Tomb is situated in 051. hþ‘mD±° H$m ‘H$~am H$hm° h¡ ?
(A) Punjab (A) n§Om~
(B) Madhya Pradesh (B) ‘Ü` àXoe
(C) CËVa àXoe
(C) Uttar Pradesh
(D) {Xëbr
(D) Delhi

052. dmñVw{dX ~mb H¥$îU Xmofr Zo BZ g~ ‘|
052. Architect B.V. Doshi Designed
go Š`m {S>OmBZ {H$`m Wm?
(A) IIT Kanpur
(A) AmB©. AmB©. Q>r. H$mZnwa
(B) IIT Delhi (B) AmB©. AmB©. Q>r. {Xëbr
(C) IIM Ahmedabad (C) AmB©. AmB©. E‘. Ah‘Xm~mX
(D) IIM Bengaluru (D) AmB©. AmB©. E‘. ~|Jmbwê$

053. Who designed the city of Chandigarh? 053. MÊS>rJ‹T> {H$gZo {S>OmBZ {H$¶m Wm?
(A) Edward Lutyens (A) ES>dS©> bw{Q>`Ýg
(B) Richard Rogers (B) [aMS©> am°Og©
(C) Le Corbusier (C) b H$ma~y{µO¶a
(D) Aldo Rossi (D) EëS>mo amogr

054. Which stone is used in Dilwara temples? 054. {Xbdmam ‘pÝXa H$m¡Z go nËWa go ~Zm h¡?
(A) Granite (A) J«oZmBQ>
(B) ‘m~©b
(B) Marble
(C) g¢S>ñQ>moZ
(C) Sandstone
(D) H$moQ>m
(D) Kota

055. BªQ> H$s ~ZmdQ> ‘| A{YH$m§e ^mJ {H$gH$m
055. Major component of brick is
hmoVm h¡?
(A) Silica (B) Nickel (A) {g{bH$m (B) {ZŠH$b
(C) Carbon (D) Magnesia (C) H$m~©Z (D) ‘¡J{Z{g`m

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056. Which of the following is a flowering 056. BZ ‘| go H$m¡Z go no‹S> na a§JrZ ’y$b AmVo h¢?
tree?
(A) AO©wZ
(A) Arjun (B) AemoH$
(B) Ashok (C) Q>rH$
(C) Teak
(D) A‘bVmg
(D) Amaltas

057. BZ‘| go H$m¡Z gm "am°H$ H$Q>' ‘pÝXa h¡ ?
057. Which of the following is rock cut
(A) ‘rZmjr ‘pÝXa
temple?
(B) H$ÝXm[a`m ‘hmXod ‘pÝXa
(A) Meenakshi Temple
(C) H¡$bmeZmW ‘pÝXa
(B) Kandariya Mahadeo Temple
(D) qbJamO ‘pÝXa
(C) Kailashanath Temple
(D) Lingraja Temple
058. VrZ ‘m¡{bH$ (àmB©‘ar) a§J H$m¡Z go h¢ ?
058. The three primary colours are (A) bmb, Zrbm Am¡a nrbm
(A) Red, Blue and Yellow (B) bmb, Zrbm Am¡a ham
(B) Red, Blue and Green (C) bmb, Zrbm Am¡a H$mbm
(C) Red, Blue and Black (D) bmb, g’o$X Am¡a H$mbm
(D) Red, White and Black

059. byd«, n¡[ag' H$m {dñVma (EŠgQ>¡ÝeZ) Omo {H$
059. The Extension of the Louvre, Paris, in the EH$ {nam{‘S> H$s Vah h¡, {H$gZo {H$`m Wm ?
form of a pyramid is designed by
(A) E¡amo g¡[aZZ
(A) Eero Saarinen (B) AmB©. E‘. nmB©.
(B) I.M.Pei (C) Om°Z AQ>OZ
(C) John Utzon
(D) OoZ S¯>
(D) Jane Drew

060. BZ g~ ‘| go H$m¡Z gm [aBZ’$moñS©> {g‘oÝQ> H$mÝH««$rQ
060. Which of these does not form part of
(R.C.C.) Ho$ g§`moOZ H$m {hñgm Zht hmoVm ?
Reinforced Cement Concrete?
(A) ñQ>rb
(A) Steel
(B) g¢S>
(B) Sand
(C) bmB©‘
(C) Lime
(D) Cement (D) gr‘oÝQ>

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In questions 61-70, identify the logo and select àíZ 61-70 ‘| {X`o J`o bmoJmo H$mo nhMmZ| d {X`o JE
the correct answer from the options below: {dH$ënm| ‘| go ghr CËVa M`Z H$ao|&
061. 061.

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

062. 062.

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

063. 063.

(A) Make in India (A) ‘oH$ BZ BpÝS>`m
(B) Jaguar (B) O¡½`ma
(C) King Power (C) qH$J nmda
(D) WWF (D) S>ãë`y. S>ãë`y. E’$.

064. 064.

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

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Page 17

065. 065.

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

066. 066.

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

067. 067.
(A) MmQ>©S©> AH$mD$°Q>¢Q>
(A) Chartered Accountant
(B) H$mD$pÝgb Am°’$ Am°{S>Q>g©
(B) Council of Auditors
(C) H$mD$pÝgb Am°’$ Am{H©$Q>oŠMa
(C) Council of Architecture
(D) Moå~a Am°’$ H$m°‘g©
(D) Chamber of Auctioneers

068.
068.

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

069. 069.

(A) E{e`Z noÝQ²g
(A) Asian Paints
(B) {S>OrQ>b BpÝS>`m
(B) Digital India
(C) ßb¡qZJ H${‘eZ
(C) Planning Commission
(D) ñ‘mQ>© {g{Q>
(D) Smart City

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070. 070.

(A) State Bank of India (A) ñQ>oQ> ~¢H$ Am°’$ BpÝS>`m
(B) Metro (B) ‘¡Q´mo
(C) Uber (C) D$~oa
(D) Oriental Bank of Commerce (D) Amo[aE§Q>b ~¢H$ Am°’$ H$m°‘g©

071. Select the correct figure from the options 071. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A)
(A)

(B)
(B)

(C)
(C)

(D)
(D)

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Page 19

072. Select the correct figure from the options 072. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

073. Select the correct figure from the options 073. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

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074. Select the correct figure from the options 074. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

075. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
075. Select the correct figure from the options
{MÌ H$s loUr nyar H$aoJm&
to continue the series to replace the
question mark.

(A) (B)

(A) (B)

(C) (D)

(C) (D)

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076. Select the correct figure from the options 076. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A)
(A)

(B)
(B)

(C)
(C)

(D)
(D)

077. Select the correct figure from the options 077. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

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078. Select the correct figure from the options 078. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A)
(A)

(B)
(B)

(C)
(C)

(D)
(D)

079. Select the correct figure from the options 079. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

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Page 23

080. Select the correct figure from the options 080. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
to continue the series to replace the {MÌ H$s loUr nyar H$aoJm&
question mark.

(A) (B)
(A) (B)

(C) (D)
(C) (D)

081. {dH$ënm| ‘| go {H$gr EH$ H$m M`Z H$a| Omo àíZ
081. Select the correct figure from the options {MÌ H$s loUr nyar H$aoJm&
to continue the series to replace the
question mark.

(A) (B)

(A) (B)

(C) (D)
(C) (D)

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082. Write the missing numeral. 082. bwßV g§»`m kmV H$a|&

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

083. Write the missing numeral. 083. bwßV g§»`m kmV H$a|&

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

084. How many faces/surfaces does this object 084. ZrMo Xr JB© dñVw Ho$ Vbm| H$s Hw$b g§»`m kmV
have? H$a|&

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

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085. How many faces/surfaces does this object 085. ZrMo Xr JB© dñVw Ho$ Vbm| H$s Hw$b g§»`m kmV
have? H$a|&

(A) 14 (B) 15 (A) 14 (B) 15
(C) 12 (D) 13 (C) 12 (D) 13

086. The below diagram is the top view of an 086. àíZ {MÌ EH$ dñVw Ho$ D$na H$m Ñî` Xem©Vm h¡&
object. Identify the object with the given {X`o JE {dH$ënm| ‘| go CgH$mo A§{H$V H$s{OE Omo
top view that cannot have the elevation Bg dñVw H$m {MpÝhV Ñí` Zht h¢&
from the side of the arrow.

(A)
(A)

(B)
(B)

(C)
(C)

(D)
(D)

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087. The below diagram is the top view of an 087. àíZ {MÌ EH$ dñVw Ho$ D$na H$m Ñî` Xem©Vm h¡&
object. Identify the front elevation of this {X`o JE {dH$ënm| go gm‘Zo dmbo ghr Ñí` H$mo
object. nhMmZ| &

(A) (A)

(B) (B)

(C) (C)

(D) (D)

088. How many triangles are there in this 088. ZrMo {X`o J`o {MÌ ‘| {H$VZo {ÌH$moU h¢ ?
figure?

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

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089. How many triangles are there in this 089. ZrMo {X`o J`o {MÌ ‘| {H$VZo {ÌH$moU h¢ ?
figure?

(A) 23
(A) 23 (B) 27
(B) 27 (C) 29
(C) 29 (D) 31
(D) 31

090. How many squares are there in the figure 090. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢¡ ?
below?

(A) 20
(A) 20
(B) 13
(B) 13
(C) 24
(C) 24
(D) 17
(D) 17

091. How many squares are there in the figure 091. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢ ?
below?

(A) 18 (B) 19
(A) 18 (B) 19
(C) 25 (D) 27
(C) 25 (D) 27

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092. How many squares are there in the figure 092. ZrMo {X`o J`o {MÌ ‘| {H$VZo dJ© h¢ ?
below?

(A) 11 (B) 21
(A) 11 (B) 21
(C) 24 (D) 26
(C) 24 (D) 26

093. The figure below is embedded in one of 093. àíZ {MÌ {H$gr EH$ {dH$ën ‘| g‘m{hV h¡& ghr
the four alternate figures. Identify it. {dH$ën H$mo {MpÝhV H$a|&

(A) (A)

(B) (B)

(C) (C)

(D) (D)

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094. The figure below is embedded in one of 094. àíZ {MÌ {H$gr EH$ {dH$ën ‘| g‘m{hV h¡& ghr
the four alternate figures. Identify it. {dH$ën H$mo {MpÝhV H$a|&

(A)
(A)

(B)
(B)

(C)
(C)

(D)
(D)

095. Which of the following choices is the
exact mirror image of the main figure 095. àíZ {MÌ Ho$ ghr Xn©U à{V{~å~ {MÌ H$m M`Z
given. (the mirror is on the right side of H$a|& (Xn©U dñVw Ho$ Xm{hZo hmW H$s Va’$ h¡)
the object)

(A) (B) (A) (B)

(C) (D) (C) (D)

4 - DA ] [ 29 ] [ PTO

Page 30

096. Which of the following choices is the 096. àíZ {MÌ Ho$ ghr Xn©U à{V{~å~ {MÌ H$m M`Z
exact mirror image of the main figure H$a|& (Xn©U dñVw Ho$ Xm{hZo hmW H$s Va’$ h¡)
given. (the mirror is on the right side of
the object)

(A)

(A)

(B)

(B)

(C)
(C)

(D)
(D)

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

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

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

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

4 - DA ] [ 30 ] [ Contd...

Page 31

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

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

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

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

4 - DA ] [ 31 ] [ PTO

Page 32

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

4 - DA ] [ 32 ]

Page 33

Answer Keys of Paper 4 Part A Set DA
Q.No Answer Q.No Answer
1. C 51. D
2. B 52. D
3. C 53. C
4. B 54. B
5. D 55. A
6. A 56. D
7. C 57. C
8. B 58. A
9. A 59. B
10. C 60. C
11. D 61. B
12. A 62. D
13. A 63. A
14. A 64. B
15. C 65. B
16. B 66. C
17. A 67. C
18. A 68. A
19. A 69. B
20. B 70. C
21. B 71. B
22. C 72. B
23. B 73. D
24. C 74. A
25. A 75. D
26. C 76. A
27. C 77. A
28. A 78. D
29. B 79. A
30. D 80. C
31. D 81. B
32. D 82. A
33. D 83. B
34. D 84. C
35. B 85. A
36. C 86. C
37. B 87. A
38. D 88. A
39. B 89. C
40. A 90. C
41. B 91. D
42. D 92. C
43. B 93. C
44. C 94. D
45. A 95. B
46. B 96. C
47. C 97. D
48. D 98. D
49. A 99. D
50. D 100.A

Page 34

 AglaSem Admission
To be filled by Candidate

Part-B OMR Answer Sheet No.
Roll No.

^mJ -B PAPER - 4
4000001
DRAWING APTITUDE
0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2
For this Part of Test is Maximum Marks are 100. 3 3 3 3 3 3 3 3

narjm Ho$ Bg ^mJ Ho$ {b¶o A{YH$V‘ A§H$ 100 h¢& 4 4 4 4 4 4 4 4
5 5 5 5 5 5 5 5
6 6 6 6 6 6 6 6
Name of the Candidate (in Capital Letters): 7 7 7 7 7 7 7 7
narjmWu H$m Zm‘ : 8 8 8 8 8 8 8 8
9 9 9 9 9 9 9 9

Roll No. amob Z§~a : (in figures):

4000001
(in words) :

Centre of Examination:
narjm Ho$ÝÐ :
Signature of Candidate : Date of Examination :
narjmWu Ho$ hñVmja : narjm {XZm§H$ :

Invigilator’s Signature :

 
narjm Ho$ÝÐmܶj H$s ‘moha
Seal of Superientendent of Examination Centre

Official Use
To be filled by Examiner only
Q.1 Q.2 Total
Marks Marks Marks
Read the following instructions carefully before you begin + =
to answer the questions.
0 0 0 0 0 0 0
àíZm| Ho$ CÎma XoZo go nhbo ZrMo {bI| AZwXoem| H$mo ܶmZ go n‹T> b|& 1 1 1 1 1 1 1
1) Part-B of this Test consists of 2 questions carrying 100 2 2 2 2 2 2 2
marks, which are to be attempted on this given Drawing 3 3 3 3 3 3 3
Sheet. Marks allotted to each question are written against 4 4 4 4 4 4 4
each question. User colour pencil or crayons only on the 5 5 5 5 5 5 5
Drawing sheet. Do not use watercolours. 6 6 6 6 6 6 6
Bg narjm Ho$ ^mJ-B ‘| 2 àíZ h¢ {OZHo$ {bE 100 A§H$ {ZYm©[aV h¡& 7 7 7 7 7 7 7
¶o àíZ AmnH$mo Xr JB© Bgr S´>mBªJ erQ> na hr H$aZo h¡& à˶oH$ àíZ hoVw 8 8 8 8 8 8 8
{ZYm©[aV A§H$ àíZ Ho$ gå‘wI A§{H$V h¡& S´>mBªJ erQ> na Ho$db a§JrZ 9 9 9 9 9 9 9

n|{gb AWdm H«o$¶moZ H$m hr à¶moJ H$a|& nmZr Ho$ a§Jm| H$m à¶mJ Z H$a|&
4000001

2) On completion of the test, the candidates must hand over the
Drawing Sheet of Drawing Aptitude Part-B to the invigilator
before they leave the Examination Hall. narjm ^dZ N>moS>Zo
go nhbo narjmWu H$mo S´>m°BªJ, ^mJ-B H$s S´>mBªJ erQ> narjm níMmV²
narjm H$j N>mo‹S>Zo go nyd© H$j {ZarjH$ Ho$ hdmbo H$a XoZr hmoJr&

Examiner’s Signature

4000001

Page 35

Do not write any thing in this space
H¥$n¶m Bg OJh ‘| Hw$N> ^r Z {bIm OmE

[2]

Page 36

Part B

45 Minutes Drawing Ability Test 100 Marks
1. Make a mirror image of the following figure and colour it.
Bg {MÌ H$m à{V{~å~ ~ZmH$a a§J ^a| &

[3]

Page 37

2. Make/Sketch a composition of the following and shade it in black and white.
• 3 Cubes of dimensions 3cms side each
• 2 Cuboids of dimensions 6cms × 3cms × 2cms each
• 1 Cylinder of dimensions 2cms radius and 6cms height
• 1 Cone of 3cms radius and 8cms height

{ZåZ{bpIV AmH$mam| H$mo EH${ÌV H$a EH$ {MÌ ga§MZm H$a| Cgo H$mbm/g’o$X a§J go eoS> H$a|&
• 3 KZ (AmH$ma 3 g|.‘r. à{V {H$Zmam).
• 3 KZm^ (AmH$ma 6 g|.‘r. (bå~mB©) × 3 g|.‘r. (Mm¡S>mB©) × 2 g|.‘r. (D$°MmB©)
• 1 ~obZ (AmH$ma 2 g|.‘r. {ÌÁ`m/ao{S>`g) Am¡a 6 g|.‘r. (D$°MmB©)
• 1 e§Hw$ (AmH$ma 3 g|.‘r. {ÌÁ`m/ao{S>`g) Am¡a 8 g|.‘r. (D$°MmB©)

[4] 4000001

Document Details

Board / OrgDefault
ExamAdmission Tests
TypeQuestion Paper
Pages37
Updated30 Apr 2026

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