UPSEE 2020 Question Paper 3

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ZZ PAPER-3 àíZnwpñVH$m H«$‘m§H$ àíZnwpñVH$m H$moS> ZZ
AA
Question Booklet Sr. No.
ZZ AZwH«$‘m§H$ / Roll No. ZZ
ZZ Q. Booklet Code
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ZZ CÎma-erQ> H«$‘m§H$ / OMR Answer Sheet No. ZZ
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KmofUm : / Declaration :
ZZ ‘¢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 ZZ
I have read and understood the instructions given on page No. 1 Seal of Superintendent of Examination Centre
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ZZ narjmWu H$m hñVmja /Signature of Candidate
(AmdoXZ nÌ Ho$ AwZgma /as signed in application) H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator
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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.

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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
24 Time 2.30 Hours 600 No. of Questions in Booklet Drawing sheet

PAPER-3 : Part A - 24 Pages
Part B - 04 Pages
àíZnwpñVH$m H«$‘m§H$/ Question Booklet Sr. No.

AZwH«$‘m§H$ / Roll No.
H$j {ZarjH$ Ho$ hñVmja /Signature of the Invigilator
àíZnwpñVH$m H$moS>
narjmWu H$m Zm‘/
Name of Candidate : AA
Q. Booklet Code
narjm{W©¶m| Ho$ {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$m| 2. Before opening the SECURITY SEAL of the question booklet, write
‘|) Amo.E‘.Ama. CÎma-erQ> H$m H«$‘m§H$ Bg àíZ-nwpñVH$m Ho$ D$na {X¶o J¶o your Name, Roll Number (In figures), OMR Answer-sheet Number in
the space provided at the top of the Question Booklet. Non-compliance
ñWmZ na {bI|& ¶{X do Bg {ZX}e H$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. PART A H$m à˶oH$ àíZ nm±M A§H$m| H$m h¡& {Og àíZ H$m CÎma Zht {X¶m J¶m 3. Each question of PART A carries FIVE marks. No marks will be
awarded for unattempted questions. There is no negative marking on
h¡, Cg na H$moB© A§H$ Zht {X¶m Om¶oJm& JbV CÎma na A§H$ Zht H$mQ>m OmEJm& wrong answer.
4. Each multiple choice questions has only one correct answer and marks
4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& shall be awarded for correct answer.
5. PART B ‘| Xmo àíZ h¢& à˶oH$ àíZ 50 A§H$mo H$m h¡& 5. PART B contists of TWO questions of FIFTY marks each
6. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X 6. Use of calculator, log table, mobile phones, any electronic gadget and
H$m à¶moJ d{O©V h¡& slide rule etc. is strictly prohibited.
7. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr 7. Candidate will be allowed to leave the examination hall at the end of
Om¶oJr& examination time period only.
8. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m Aݶ {b{IV ¶m N>nr gm‘J«r, {Oggo do 8. If a candidate is found in possession of books or any other printed or
ghm¶Vm bo gH$Vo/gH$Vr h¢, nm¶r Om¶oJr, Vmo Cgo A¶mo½¶ Kmo{fV H$a {X¶m Om written material from which he/she might derive assistance, he/she
gH$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$aVm) hþAm nm¶m Om¶oJm, giving or obtaining (or attempting to give or obtain) assistance from any
Vmo Cgo ^r A¶mo½¶ Kmo{fV {H$¶m Om gH$Vm h¡& source, he/she is liable to be disqualified.
9. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ 9. English version of questions paper is to be considered as authentic and
‘mZm Om¶oJm& final to resolve any ambiguity.
10. OMR sheet Bg Paper Ho$ ^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.

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ZZ PAPER-3
Aptitude Test for Architecture & Design
Mathematics & Aesthetic Sensitivity – Part A : Q. 1 to 100
Drawing Aptitude – Part B : Q. 1 & 2

PART-A / ^mJ-A
MATHEMATICS & AESTHETIC SENSITIVITY / J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r
01. Let a, b, c and d be non-zero numbers. If the point 01. ¶{X a, b, c VWm d Aeyݶ g§»¶mE§ h¡& ¶{X aoImAm|
of intersection of the lines 4ax + 2ay + c = 0 and 4ax + 2ay + c = 0 VWm 5bx + 2by + d = 0 aoImAm|
5bx + 2by + d = 0 lies in the fourth quadrant H$m à{VÀN>Xo Z {~ÝXþ Mm¡Wo nmX (fourth quadrant) ‘| h¡
and is equidistant from the two axes then Am¡a Ajm| go ~am~a Xÿar na h¡, V~
(A) 2bc – 3ad = 0 (B) 2bc + 3ad = 0 (A) 2bc – 3ad = 0 (B) 2bc + 3ad = 0
(C) 3bc – 2ad = 0 (D) 3bc + 2ad = 0 (C) 3bc – 2ad = 0 (D) 3bc + 2ad = 0

02. The lines p (p 2 + 1) x – y + q = 0 and 02. ¶{X aoImE§ p (p2 + 1) x – y + q = 0 VWm
(p2 + 1)2 x + (p2 + 1) y + 2q = 0 are (p2 + 1)2 x + (p2 + 1) y + 2q = 0 {H$gr EH$
perpendicular to a common line for aoIm na bå~dV hmoJr
(A) No value of p (A) p Ho$ {H$gr ‘mZ Ho$ {b¶o Zhr
(B) exactly one value of p (B) p Ho$ Ho$db EH$ ‘mZ Ho$ {b¶o
(C) Exactly two values of p (C) p Ho$ Ho$db Xmo ‘mZ Ho$ {b¶o
(D) More than two values of p (D) p Ho$ Xmo go A{YH$ ‘mZm| Ho$ {b¶o

3-AA ] [2] [ Contd...

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03. Let C be the circle with the centre at (1 ,1) and 03. ‘mZm C Ho$ÝÐ {~ÝXþ (1 ,1) VWm {ÌÁ¶m = 1 dmbm EH$ d¥Îm ZZ
radius = 1. If T is the circle centred at (0, y), h¡& ¶{X T EH$ Aݶ d¥Îm h¡ {OgH$m Ho$ÝÐ (0, y) h¡ Am¡a ZZ
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passing through origin and touching the circle d¥Îm C H$mo ñne© H$aVo hþ¶o ‘wb {~ÝXþ (origin) go hmoH$a ZZ
externally, then the radius of T is equal to. JwOaVm h¡, V~ d¥Îm T H$s {ÌÁ¶m ~am~a h¡- ZZ
(A)
3
(B)
3 3 3 ZZ
2 2 (A) 2 (B) 2 ZZ
1
(C) 2 (D)
1
4 (C) 2
1
(D) 4
1 ZZ
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04. The circle passing through (1, –2) and touching 04. ¶{X H$moB© d¥Îm {~ÝXþ (1, –2) go JwOaVm h¡ VWm x - Aj
the axis of x at (3, 0), also passes through the H$mo {~ÝXw (3, 0) na ñne© H$aVm h¡, dh {ZåZ {b{IV
point {~ÝXþ go ^r JwOaoJm-
(A) (2, –5) (B) (5, –2) (A) (2, –5) (B) (5, –2)
(C) (–2, 5) (D) (–5, 2) (C) (–2, 5) (D) (–5, 2)

05. Let O be the vertex and Q be any point on 05. ‘mZm nadb¶ x2 = 8y {OgH$m erf©   (vertex)   O h¡ na Q
parabola, x2 = 8y. If the point P divides the line H$moB© {~ÝXþ h¡& ¶{X H$moB© {~ÝXþ P aoImIÊS> PQ H$mo
segment OQ internally in the ration 1:3, then AmÝV[aH$ 1:3 Ho$ AZwnmV ‘| {Û^m{OV H$aVm h¡, V~ P
the locus of P is H$m {~ÝXþ nW h¡…
(A) y2 = x (B) y2 = 2x (A) y2 = x (B) y2 = 2x
(C) x2 = 2y (D) x2 = y (C) x2 = 2y (D) x2 = y

06. A parabola has the origin as its focus and the line 06. EH$ nadb¶ H$s Zm[‘ (focus) ‘wb{~ÝXw (origin) na
x = 2 as the directrix, Then the vertex of the h¡ VWm BgH$s {Z‘Vm (directrix) aoIm x = 2 h¡& V~
parabola is at nadb¶ H$m erf©© (vertex) hmoJm-
(A) (0, 2) (B) (1, 0) (A) (0, 2) (B) (1, 0)
(C) (0, 1) (D) (2, 0) (C) (0, 1) (D) (2, 0)

07. The eccentricity of an ellipse, with its 07. ¶{X EH$ XrK©d¥Îm (ellipse) {OgH$m Ho$ÝÐ ‘wb{~ÝXþ
1
centre at the origin is 2 , if one of the (origin) h¡, H$s {dHo$ÝX«Vm (eccentricity) 12 h¡
directrices is x = 4, then the equation of the VWm {Z¶VmAm| (directrices) ‘| go EH$ {Z¶Vm x
ellipse is = 4 h¡, V~ XrK©d¥Îm H$m g‘rH$aU h¡…
(A) 3x2 + 4y2 = 1 (B) 3x2 + 4y2 = 12 (A) 3x2 + 4y2 = 1 (B) 3x2 + 4y2 = 12
(C) 4x2 + 3y2 = 12 (D) 4x2 + 4y2 = 1 (C) 4x2 + 3y2 = 12 (D) 4x2 + 4y2 = 1

3-AA ] [3] [ P.T.O.

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ZZ 08. If 8iz3 + 12z2 – 18z + 27 i = 0, then the 08. ¶{X 8iz3 + 12z2 – 18z + 27 i = 0, then |z|
ZZ value of |z| is H$m ‘mZ h¡…
ZZ
3 2 3 2
ZZ (A) 2 (B) 3 (A) 2 (B) 3
ZZ (C) 1 (D) 4
3 (C) 1 (D)
3
ZZ 4
ZZ 6i - 3i 1 6i - 3i 1
ZZ 09. If 4 3i - 1 = x + iy then 09. ¶{X 4 3i - 1 = x + iy, V~
ZZ 20 3 i 20 3 i

(A) x = 3, y = 1 (B) x = 1, y = 3 (A) x = 3, y = 1 (B) x = 1, y = 3
(C) x = 0, y = 3 (D) x = 0, y = 0 (C) x = 0, y = 3 (D) x = 0, y = 0

10. If one root of the equation x2 – λx + 12 = 0 is even 10. ¶{X g‘rH$aU x2 – λx + 12 = 0 H$m EH$ ‘yb g‘-A^mÁ¶
prime while x2 + λx + µ = 0 has equal roots, then (even prime) h¡, O~ {H$ g‘rH$aU x2 + λx + µ = 0
µ is equal to Ho$ ‘yb ~am~a h¡, V~ µ ~am~a h¡…
(A) 8 (B) 16 (A) 8 (B) 16
(C) 24 (D) 32 (C) 24 (D) 32

11. The value of P such that the difference of the roots 11. g‘rH$aU x2 – Px + 8 = 0 Ho$ ‘ybm| H$m AZVa 2 h¡,
of the equation x2 – Px + 8 = 0 is 2, is –– V~ P H$m ‘mZ h¡-
(A) + 3 (B) + 6 (A) + 3 (B) + 6
(C) + 2 (D) + 1 (C) + 2 (D) + 1

12. The minimum value of the expression 3x + 31–x, 12. 춧 O H$ 3 x + 3 1–x , x  ∈ R H$m ݶy Z V‘ ‘mZ
x∈R is h¡
1 1
(A) 0 (B) 3 (A) 0 (B) 3
(C) 3 (D) 2 3 (C) 3 (D) 2 3

13. If x, y and z are positive integers, then the value 13. ¶{X x, y Am¡a z
KZmË‘H$ nyUmªH$ h¡, V~
of (x + y) (y + z) (z + x) is (x + y) (y + z) (z + x) H$m ‘mZ h¡&
(A) 8 xyz (B) > 8 xyz (A) 8 xyz (B) > 8 xyz
(C) < 8 xyz (D) 4 xyz (C) < 8 xyz (D) 4 xyz

3-AA ] [4] [ Contd...

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14.
3 7 15
The sum of the series 1+ 2! + 3! + 4! + -- is 14.
3 7 15
1+ 2! + 3! + 4! + -- joUr H$m ¶moJ h¡- ZZ
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(A) e (e + 1) (B) e (e – 1) (A) e (e + 1) (B) e (e – 1)
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(C) e (1 – e) (D) e (C) e (1 – e) (D) e ZZ
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The coefficient of xn in the series
+ --- ZZ
15.
2 3
(a + bx ) (a + bx )
15. jo U r 1 + a +1!bx + 2! + 3!
a + bx (a + bx)
2
(a + bx) 3 ZZ
1+ 1! + + + --- is ‘| xn H$m JwUm§H$ h¡…
2! 3! ZZ
(A)
(ab) n
(B)
eb an
(A)
(ab) n
(B)
e a b n ZZ
n! n! n! n!
ea . bn e a + b (ab) n ea . bn e a + b (ab) n
(C) n! (D) n! (C) (D)
n! n!

16. The number of terms in the expression of 16. 춧OH$ (1 + 5 2x )19 + (1 – 5 2x )19 ‘| nXmo
(1 + 5 2x )19 + (1 – 5 2x )19 is H$s g§»¶m h¡…
(A) 10 (B) 7 (A) 10 (B) 7
(C) 13 (D) 15 (C) 13 (D) 15

17. If A and B are 3 × 3 matrices such that 17. ¶{X A Am¡a B Bg n«H$ma H$s 3 × 3 H$s Amì¶yh h¢ {H$
A2 – B2 = (A – B) (A + B), then A2 – B2 = (A – B) (A + B), V~
(A) either A or B is zero matrix (A) ¶m Vmo  A  ¶m  B  eyݶ Amì¶yh (zero matrix) h¡
(B) either A or B is unit matrix (B) ¶m Vmo  A  ¶m  B  EH$H$ Amì¶yh (unit matrix) h¡
(C) A = B (C) A = B
(D) AB = BA (D) AB = BA

18. If px4 + qx3 + rx2 + sx + t = 18. ¶{X px4 + qx3 + rx2 + sx + t =
x2 - 3x x-1 x+3 x2 - 3x x-1 x+3
x+1 -2 x x - 4 where  p,   q,   r,   s and  t x+1 -2 x x - 4 Ohm§ p,   q,   r,   s VWm  t
x-3 x+4 3x x-3 x+4 3x
are constants, then t is equal to An[adV©Zerb h¡, V~ t ~am~a h¡…
(A) 0 (B) 1 (A) 0 (B) 1
(C) –1 (D) 2 (C) –1 (D) 2

19. If A = {1, 2, 3} and B = {3, 6, 8} then 19. ¶{X A = {1, 2, 3} VWm B = {3, 6, 8} h¢, V~
(A∩B)×A is (A∩B)×A h¡…
(A) {(1, 3), (2, 3), (3, 3)} (A) {(1, 3), (2, 3), (3, 3)}
(B) {(3, 1), (3, 2), (3, 3)} (B) {(3, 1), (3, 2), (3, 3)}
(C) {(1, 3), (3, 1), (3, 2)} (C) {(1, 3), (3, 1), (3, 2)}
(D) None of these (D) BZ‘| go H$moB© Zht

3-AA ] [5] [ P.T.O.

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ZZ 20. The mapping f : N→N given by f(x)=1+x2, x∈N 20. à{V{MbU f : N→N Bg àH$ma h¡ {H$ f(x)=1+x2, x∈N
ZZ where N is the set of natural numbers, then f(x) is Ohm± N n«mH¥${V g§»¶mAm| H$m g‘wÀM¶ h¡, V~ f(x) h¡…
ZZ
(A) EH¡$H$ Am¡a AmÀN>mXH$
ZZ (A) One - one and onto
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(B) Onto but not one - one (B) AmÀN>mXH$ bo{H$Z EH¡$H$ Zht
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ZZ (C) One - one but not onto
ZZ (C) EH¡$H$ bo{H$Z AmÀN>mXH$ Zht
ZZ (D) Neither one - one nor onto
(D) Z hr EH¡$H$ Am¡a Z hr AmÀN>mXH$

21. Let R be the relation on the set R of all real 21. ‘mZm {H$ g^r dmñVm{dH$ g§»¶mAm| Ho$ g‘wÀM¶ R na
numbers, defined by aRb if f |a – b| < 1. Then
H$moB© gå~ÝY R h¡ Omo {H$ aRb if f |a – b| < 1 go
n[a‘m{fV h¡& V~ R h¡-
R is
(A) Ho$db ñdVwë¶ (Reflexive) VWm g‘m{‘V
(A) Reflexive and symmetric only (symmetric)

(B) Reflexive and transitive only (B) Ho$db ñdVwë¶ (Reflexive) VWm gH$‘©H$
(transitive)
(C) Equivalence
(C) Vwë¶ g‘~ÝY (Equivalence relation)
(D) None of these
(D) BZ‘| go H$moB© Zht

22. If the three angles of a quadrilateral are 60°, 22. ¶{X 60°, 60g VWm 5r
6 ao{S>¶Z {H$gr MVw^O
©w Ho$ VrZ
5r
60g and 6 radian. Then, the fourth angle is H$moU h¡, V~ CgH$m Mm¡Wm H$moU h¡…
(A) 60° (B) 96° (A) 60° (B) 96°

(C) 96g (D) None of these (C) 96g (D) BZ‘| go H$moB© Zht

23. The number of roots of the equation 23. A§Vamb `- r2 , r2 j ‘| g‘rH$aU 3sin2x=8cosx Ho$ ‘ybm|
3sin2x=8cosx in `- 2 , 2 j is
r r H$s g§»¶m h¡…
(A) 1 (B) 2 (A) 1 (B) 2
(C) 3 (D) 4 (C) 3 (D) 4

1 1
24. If x + x = 2, then the principal value of sin–1x 24. ¶{X x + x = 2, V~ sin–1x H$m ‘w»¶ ‘mZ
is (principal value) h¡…

r r r r
(A) 6 (B) 2 (A) 6 (B) 2
3r 3r
(C) r (D) 2 (C) r (D) 2

3-AA ] [6] [ Contd...

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25. In ∆ABC, if the sides are a=3, b=5 and c=4, 25. w ∆ABC ‘|, ¶{X CgH$s ^wOm¶| a=3, b=5 VWm ZZ
{Ì^wO
B B
then sin 2 + cos 2 equal to B B
c=4 h¢, V~ sin 2 + cos 2 ~am~a h¡…
ZZ
3 +1
ZZ
(A) 2 (B) 3 +1
2 (A) 2 (B) 2 ZZ
3 -1 3 -1 ZZ
(C) (D) 1 (C) (D) 1
2 2 ZZ
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26. The area bounded by the curves x + 2| y| = 1 26. dH«$m| x + 2| y| = 1 VWm x = 0 Ûmam n[a~Õ ZZ
and x = 0 is joÌ’$b h¡… ZZ
1 1 1 1
(A) 4 (B) (A) 4 (B) 2
2
(C) 1 (D) 2 (C) 1 (D) 2

27. The line x + y = 4 divides the line joining 27. aoIm x + y = 4 Õmam  {~ÝXþAm| (–1, 1) VWm (5, 7) H$mo
the points (–1, 1) and (5, 7) in the ratio Omo‹S>Zo dmbr aoIm H$mo {d^m{OV H$aZo H$m AZwnmV h¡…
(A) 2 : 1 (B) 1 : 3 (A) 2 : 1 (B) 1 : 3

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

28. The cartesian equation of the curves 28. dH«$m| x = 7 + 4 cos ∝ VWm y = –3 + 4 sin ∝ H$m
x = 7 + 4 cos ∝ and y = –3 + 4 sin ∝ is H$mQ>u{O¶Z g‘rH$aU h¡…
(A) x2 + y2 – 14x + 6y + 42 = 0 (A) x2 + y2 – 14x + 6y + 42 = 0
(B) x2 + y2 – 6x + 14y + 21 = 0 (B) x2 + y2 – 6x + 14y + 21 = 0
(C) x2 + y2 – 10x + 12y + 28 = 0 (C) x2 + y2 – 10x + 12y + 28 = 0
(D) None of these (D) BZ‘| go H$moB© Zht

29. How many tangents can be drawn from the point 29. d¥Îm x2 + y2 – 8x – 6y + 9 = 0 na {~ÝXþ (3, –2) go
(3, –2) to the circle x2 + y2 – 8x – 6y + 9 = 0 ? {H$VZr ñne© aoIm¶| ItMr Om gH$Vr h¢?
(A) 2 (B) 1 (A) 2 (B) 1
(C) 0 (D) None of these (C) 0 (D) BZ‘| go H$moB© Zht

2
x2 y x 2 y2
30. If P is a point on the ellipse 16 + 25 = 1 30. ¶{X XrK©dÎ¥ m 16 + 25 = 1 na H$moB© {~ÝXþ P h¡ Am¡a
whose foci are S and S1, then P S + P S1 is XrK©d¥Îm H$s Zm{^¶m± (foci) S VWm S1 h¢, V~
equal to P S + P S1 h¢…
(A) 8 (B) 7 (A) 8 (B) 7
(C) 5 (D) 10 (C) 5 (D) 10

3-AA ] [7] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 31. The curve described parametrically by x = t2 + t + 1, 31. n«mMm{bH$ dH«$ (parametric curve) x = t2 + t + 1,
ZZ y = t2 – t + 1 represent y = t2 – t + 1 n«X{e©V H$aVm h¡
ZZ
(A) a pair of straight lines (A) gab aoIm¶|
ZZ
ZZ (B) an ellipse (B) EH$ XrK©d¥Îm
ZZ (C) a parabola (C) EH$ nadb¶
ZZ (D) a hyperbola (D) EH$ A{Vdanb¶
ZZ
ZZ 32. lim [x – 1], where [ ] denotes the greatest integer
x"1
32. lim [x – 1] ~am~a h¡, Ohm± [ ] ‘hÎm‘ nyUmªH$ ’$bZ
x"1

function, is equal to H$mo {Zé{nV H$aVm h¡-
(A) 1 (B) 2 (A) 1 (B) 2
(C) 0 (D) Does not exist (C) 0 (D) ApñVËd ‘| Zhr h¡

3x + tan2 x 2
33. If f(x) = x is continuous at x = 0 then f(0) 33. ¶{X f(x) = 3x + xtan x , x = 0 na gVV h¡, V~ f(0)
is equal to ~am~a h¡…
(A) 3 (B) 2 (A) 3 (B) 2
(C) 4 (D) 0 (C) 4 (D) 0

34. The derivative of y = (1 – x) (2 – x) (3 – x)--(n – x) 34. y = (1 – x) (2 – x) (3 – x)--(n – x) H$m x = 1 na x Ho$
with respect to x at x = 1 is gmnoj AdH$bZ (derivative) h¡…
(A) 0 (B) (–1) (n – 1)! (A) 0 (B) (–1) (n – 1)!
(C) n! – 1 (D) (n + 1)! (C) n! – 1 (D) (n + 1)!

dy dy
35. If x = a ( i + sin i ) and y = a (1 – cos i ), then dx is 35. ¶{X x = a ( i + sin i ) VWm y = a (1 – cos i ) V~ dx
equal to ~am~a h¡…
i i i i
(A) tan 2 (B) cot 2 (A) tan 2 (B) cot 2
(C) tan i (D) cot i (C) tan i (D) cot i

36. If the surface area of a sphere of radius r is 36. ¶{X EH$ d¥Îm {OgH$s {ÌÁ¶m r h¡ H$m n¥ð> (surface)
increasing uniformly at the rate 8 cm2 /s, then 8cm2/s H$s g‘mZ Xa go ~‹T> ahm h¡, V~ BgHo$ Am¶VZ
the rate of change of its volume is (volume) Ho$ n[ad©VZ H$s Xa h¡…
(A) Constant (A) An[ad©VZ erb
(B) Proportional to 1/r 1
(B) r Ho$ AZwnmVr
(C) Proportional to r2 (C) r2 Ho$ AZwnmVr
(D) Proportional to r (D) r Ho$ AZwnmVr

3-AA ] [8] [ Contd...

ZZ
ZZ
ZZ
37. The maximum value of f(x) =
log x
is 37.
log x
f(x) = x H$m ‘hÎm‘ ‘mZ h¡… ZZ
x ZZ
2 2
(A) 1 (B) e (A) 1 (B) e ZZ
(C) e (D)
1
(C) e (D) e
1 ZZ
e ZZ
ZZ
38. If # logf (sin
x)
x dx = log log sin x, then f(x) is 38.
f (x)
¶{X # log sin x dx = log log sin x, V~ f(x) ~am~a ZZ
equal to h¡… ZZ
ZZ
(A) sin x (B) cos x (A) sin x (B) cos x
(C) tan x (D) cot x (C) tan x (D) cot x

39. If # cotcos 8x + 1 dx = A cos8 x + k, where k 39. ¶{X # cotcos 8x + 1 dx = A cos8 x + k, Ohm± k
2x - tan2x 2x - tan2x
is an arbitrary constant, then A is equal to H$moB© {Z¶Vm§H$ (constant) h¡, V~ A ~am~a h¡…
1 1 1 1
(A) - 16 (B) 16 (A) - 16 (B) 16
1 1 1 1
(C) 8 (D) - 8 (C) 8 (D) -8

If P = # f (cos2 x) dx and Q = # ¶{X P = #0 f (cos2 x) dx VWm Q = # f (cos2 x) dx
3r r 3r r
40. f (cos2 x) dx, 40.
0 0 0

then V~
(A) P – Q = 0 (B) P – 2Q = 0 (A) P – Q = 0 (B) P – 2Q = 0
(C) P – 3Q = 0 (D) P – 5Q = 0 (C) P – 3Q = 0 (D) P – 5Q = 0

41. Area of the region lying between the line 41. aoIm x – y + 2 = 0 VWm dH«$ x = y Ho$ ~rM AmZo
x – y + 2 = 0 and the curve x = y , is dmbo joÌ H$m joÌ’$b h¡…
9 9
(A) 9 (B) 2 (A) 9 (B) 2
10 10
(C) 3 (D) None (C) 3 (D) H$moB© Zht

42. The order of the differential equation whose 42. {H$gr AdH$bZ g‘rH$aU (differential equation)
general solution is given by y = (c1+c2) cos(x + c3) {OgH$m ì¶mnH$ hb (general solution) y = (c1+c2)
– c4 e x+c5 where c1, c2, c3, c4, c5 are arbitrary cos(x + c3) – c4 e x+c5 h¡, Ohm± c1, c2, c3, c4 VWm c5
constant, is H$moB© {Z¶Vm§H$ (constant) h¡, H$s H$mo{Q> (order) h¡…
(A) 5 (B) 4 (A) 5 (B) 4
(C) 3 (D) 2 (C) 3 (D) 2

3-AA ] [9] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 43. The solution of differential equation 43.
dy ax + g
¶{X AdH$bZ g‘rH$aU dx = by + f H$m hb {H$gr
ZZ dy ax + g
ZZ dx = by + f represents a circle, then
d¥Îm H$mo {Zé{nV (represent) H$aVm h¡, V~
ZZ (A) a = b (B) a = –b (A) a = b (B) a = –b
ZZ (C) a = 2b (D) a = –2b (C) a = 2b (D) a = –2b
ZZ
ZZ
44. EH$ Pmobo ‘| 3 bmb VWm 3 g’o$X J|X| h¡& Pmobo go Xmo J|X|
ZZ 44. A bag contains 3 red and 3 white balls. Two

ZZ balls are drawn one-by-one. The probability EH$-EH$ H$aHo$ {ZH$mbr OmVr h¢& BZ J|X§o Ho$ AbJ-
that they are of different colour, is AbJ a§J Ho$ hmoZo H$s àm{¶H$Vm (probability) h¡…
3 2 3 2
(A) 10 (B) 5 (A) 10 (B) 5
3 3
(C) 5 (D) None (C) 5 (D) H$moB© Zht

45. If two events A and B are such that 45. ¶{X Xmo KQ>Zm¶| Bg n«H$ma K{Q>V hmoVr h¢ {H$,
O < P (A), P (B) < 1, then P a k + P a B k is O < P (A), P (B) < 1, V~ P a k + P a B k ~am~a
A A A A
B B
equal to h¡…
3 3
(A) 1 (B) (A) 1 (B) 2
2
1 1
(C) 2 (D) None of these (C) 2 (D) BZ‘| go H$moB© Zht

46. A dice is thrown and a card is selected at random 46. EH$ nm§gm CN>mbm OmVm h¡ VWm 52 Vme Ho$ nÎmm| H$s JÈ>r
from a deck of 52 playing cards. The probability go EH$ nÎmm AH$ñ‘mV {ZH$mbm OmVm h¡& nm§go na g‘
of getting an even number on the dice and a spade g§»¶m AmZo Am¡a Vme Ho$ nÎmo Ho$ hþH$w ‘ (spade) H$m nÎmm
card is AmZo H$s àm{¶H$Vm (probability) h¡…
1 1 1 1
(A) 2 (B) 4 (A) 2 (B) 4
1 3 1 3
(C) 8 (D) 4 (C) 8 (D) 4

47. Three houses are available in a locality. Three 47. EH$ ‘whëbo ‘| 3 ‘H$mZ CnbãY h¢& VrZ ì¶{º$¶m| Zo
persons apply for these houses. Each applies CZH$mo Am~qQ>V H$amZo Ho$ {b¶o AmdoXZ {H$¶m h¡& à˶oH$
for one house without consulting others. The ì¶{º$ Zo {~Zm EH$-Xÿgao H$s gbmh {b¶o EH$ hr ‘H$mZ
probability that all the three apply for the same Ho$ {b¶o AmdoXZ {H$¶m h¡, V~ g^r VrZm| Zo EH$ hr
house, is ‘H$mZ Ho$ {b¶o AmdoXZ {H$¶m h¡ H$s àm{¶H$Vm h¡…
7 8 7 8
(A) 9 (B) (A) 9 (B) 9
9
2 1 2 1
(C) 9 (D) (C) 9 (D) 9
9

3-AA ] [ 10 ] [ Contd...

ZZ
ZZ
ZZ
48. If the three vectors av , bv and cv with magnitude 48. ¶{X VrZ g{Xem| av , bv VWm cv {OZH$m n[a‘mU ZZ
3, 4 and 5 respectively and av + bv + cv = 0, then H«$‘e… 3, 4 VWm 5 h¡ Am¡a av + bv + cv = 0, V~ ZZ
ZZ
the value of av . bv + bv . cv + cv . av is av . bv + bv . cv + cv . av H$m ‘mZ h¡ ZZ
(A) –23 (B) –25 (A) –23 (B) –25 ZZ
(C) 30 (D) 26 (C) 30 (D) 26 ZZ
ZZ
ZZ
49. If the non-zero vectors av , bv , cv are related by 49. ¶{X av = 8 bv VWm cv = –7 bv VrZ Aeyݶ g{Xem| ZZ
av = 8 bv and cv = –7 bv . Then the angle between Ho$ ~rM Ho$ gå~ÝY h¢, V~ av VWm cv Ho$ ~rM
av and cv is H$m H$moU h¡…
(A) r (B) 0 (A) r (B) 0
r r r r
(C) 4 (D) 2 (C) 4 (D) 2

50. If the position vectors of P, Q, R and S are 50. ¶{X 2it + jt , it - 3jt , 3it + 2jt VWm it + njt H«$‘e…
2it + jt , it - 3jt , 3it + 2jt and it + njt respectively P, Q, R VWm S ñWmZr¶ g{Xe (position vectors) h¡
and P Q || R S , then the value of µ is
Am¡a P Q || R S , V~ µ H$m ‘mZ h¡…
(A) –7 (B) 7
(A) –7 (B) 7
(C) –6 (D) 6
(C) –6 (D) 6

51. Which of the following Indian Architects was 51. {ZåZ ^maVr¶ dmñVwH$mamo ‘o {H$gH$mo nÙ ^wfU
awarded the Padma Bhushan Award 2020 gå‘mZ 2020 {X¶m J¶m
(A) Charles Correa (A) Mmëg© H$mo[a¶m
(B) BV Doshi (B) ~r ìhr Omoer
(C) J. A Stein (C) Oo. E. ñQ>oBZ
(D) Hafeez Contractor (D) h{’$µO H$m°ÝQ´>°³Q>a

52. Which one of the following is NOT a traffic 52. {ZåZ ‘o go ³¶m MrO ¶mVm¶mV H$s J{V H$‘ H$aZo
speed reducing measure? Ho$ {b¶o à¶w³V$ Zhr hmoVr h¡
(A) Rumble strips (A) aå~b ñQ´>rng²
(B) Roundabouts (B) amD§$S>A~mD$Q>g
(C) Pedestrian crossings (C) noS>rpñQ´>¶Z H«$mqgJ
(D) Roadside trees (D) añVo Ho$ ZOXrH$ no‹S>

3-AA ] [ 11 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 53. ECBC stands for 53. ECBC go ³¶m g‘PVo h¡
ZZ (A) Electrical Conduit in Building Construction (A) Bb¡p³Q´>H$b H§$S²>¶wQ> BZ {~pëS>¨J H§$ñQ´>H$eZ
ZZ (B) Energy Conservation Building Code (B) BZOu H§$gadoeZ {~pëS>¨J H$moS>
ZZ
ZZ (C) Electrical Credit in Building Code (C) Bb¡p³Q´>H$b g{H©$Q> BZ {~pëS>¨J H$moS>
ZZ (D) Energy Credit in Building Construction (D) BZOu Ho«${S>Q> BZ {~pëS>¨J H§$ñQ´>H$eZ
ZZ
ZZ
ZZ 54. The COA Stands for 54. COA go ³¶m g‘PVo h¡
(A) Certificate of Architect (A) >g{Q>©{’$H$oQ> Am’$ AmH$s©Q>o³Q>
(B) Council of Advocates (B) H$m§C{gb Am’$ ES>dmoHo$Q>g
(C) Council of Accountants (C) H$m§C{gb Am’$ AH$mC§Q>oÝQ>g
(D) Council of Architecture (D) H$m§C{gb Am’$ AmH$s©Q>o³Q>g

55. SWOT analysis is used for examining a 55. SWOT {díbofU go {H$gr n[apñW{V H$s Am§V{aH$
situation’s inherent
(A) 
Strength, Wastefulness, Opportunity and (A) VmH$V, ~a~mXr, gå^mdZmE$>E§d MmbmH$s
Tactfulness
(B) ñdrH¥${V, H$‘Omoar, ñdm{^Ëd VWm IVao
(B) Sanction, Weakness, Ownership and Threat
(C) Strength, Weakness, Opportunity and Threat (C) VmH$V, H$‘Omoar, gå^mdZmE E§d IVao
(D) 
Support, Wastefulness, Ownership and
Transparency (D) gh¶moJ, ~a~mXr, ñdm{‘Ëd E§d nmaX{e©Vm

56. In case of residential apartments, the effective 56. {Zdmgr¶ ~hþ‘§{Obm ^dZ ‘| à¶moJ ‘o {b¶o OmZo
floor area available for use within an apartment, dmbo à^mdr joÌ’$b gmo ³¶m H$hVo h¡
is known as
(A) H$manoQ> joÌ’$b>
(A) Carpet Area
(B) ~Zm hþAm joÌ’$b
(B) Built-up Area
(C) Hw$gu joÌ’$b
(C) Plinth Area

(D) Super Built-up Area (D) gånwU© ~Zm hþAm joÌ’$b

57. One Feet equals. 57. EH$ ’$sQ> {H$gHo$ ~am~a hmoVm h¡?
(A) 30.5 cm (B) 35 cm (A) 30.5 cm (B) 35 cm
(C) 45 cm (D) 15.67 cm (C) 45 cm (D) 15.67 cm

3-AA ] [ 12 ] [ Contd...

ZZ
ZZ
ZZ
58. How many A2 sheets can be cut from a A0 58. EH$ A-0 ‘mn Ho$ H$mJO go {H$VZo A-2 ‘mn Ho$ ZZ
sheet of paper. H$mJO H$mQ>o Om gH$Vo h¡ ZZ
(A) 5 (B) 4
ZZ
(A) 5 (B) 4
ZZ
(C) 16 (D) 8 (C) 16 (D) 8 ZZ
ZZ
59. The city of Bhubaneswar was planned by   ZZ
59. ^wdZoída eha H$s ¶moOZm {H$gZo ~ZmB© Wr
ZZ
(A) Le Corbusier (A) br H$m~y©{O¶o$> ZZ
(B) I M Pie (B) AmB© E‘ nmB©
(C) Otto Koningsberger (C) AmoÅ>mo H$moB§g~J©a
(D) Lui Kahn (D) bwB© H$mZ

60. Identify the building 60. Xem©E ^dZ H$mo {MpÝhV H$ao

(A) Sydney Opera House
(A) {gS>Zr Amonoam hmCg
(B) Bahai house of worship
(B) ~hmB© nyOm ñWb
(C) Guggenheim Museum
(C) JKo{Z¶‘ g§J«hmb¶
(D) Temple of Karnak
(D) H$maZH$ Ԥ{Xa

61. Blue colour is a   61. Zrbm a§J EH$
(A) Hot Colour (A) $J‘© a§J h¡
(B) Cool Colour (B) R>§S>m a§J h¡
(C) Secondary Colour (C) AàYmZ a§J h¡
(D) Netural Colour (D) CXmgrZ a§J h¡

62. Curtain walls represents 62. nXm© Xrdmb ³¶m h¡
(A) Fabric Walls (A) H$nS>o gr Xrdmb$>
(B) Non-load bearing Wall (B) dOZ Zm boZo dmbr Xrdmb
(C) Paper Walls (C) H$mJO H$s Xrdmb
(D) Concrete Walls (D) H§$H«$sQ> H$s Xrdmb

3-AA ] [ 13 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 63. Gopuram is a   63. Jmonwa‘ EH$
ZZ (A) Temple (A) Ԥ{Xa
ZZ (B) Gateway to Temple > (B) ‘§{Xa ‘| OmZo H$m ^ì¶ Ûma
ZZ (C) Cow shed (C) Jm¡embm
ZZ (D) Dairy (D) Xþ½Ymb¶
ZZ
ZZ
ZZ 64. Identify the building 64. Xem©E ^dZ H$mo {MpÝhV H$ao
ZZ

(A) Elephanta Caves (B) Ajanta Caves (A) Ebr’o$ÝQ>m Jw’$m (B) AO§Vm Jw’$m
(C) Badami Caves (D) Bhimbetaka Caves (C) ~mXm‘r Jw’$m (D) ^r‘ ~¡T>H$ Jw’$m
65. Architect of MP Vidhan Sabha Building is: 65. ‘ܶ àXmoe {dYmZg^m Ho dmñVwH$ma h¢…
(A) B V Doshi (B) Le-Corbusier (A) $~r dr Xmoer (B) br H$m~w©{O¶o
(C) Charles Correa (D) Edwin Lutyens (C) Mmëg© H$mo[a¶m (D) ES>{dZ bw{Q>¶Z

66. Identify the structure in the picture 66. {MÞ ‘o {X¶o ^dZ H$mo nhMm{Z¶o

(A) Big Ben London (A) {~J ~oZ b§XZ>
(B) Time Tower NY (B) Q>mB‘ Q>mda ݶy¶mH©$
(C) Sears Towers, NY (C) {g¶g© Q>mda ݶy¶mH©$
(D) Rajabai Tower, Mumbai (D) amOm~mB© Q>mda ‘wå~B©

67. Brihdeshwar Temple is located in 67. ~¥hXoída ‘§{Xa H$m ñWmZ
(A) Bhubneshwar (B) Mahabalipuram (A) ^wdZoída (B) ‘hm~br nwa‘
(C) Thanjavur (D) Mathura (C) VZOm¡a (D) ‘Wwam

3-AA ] [ 14 ] [ Contd...

ZZ
ZZ
ZZ
68. The Sphinx is located in 68. pñ’${Z³g H$m ñWmZ ZZ
(A) Tokyo (B) Giza (A) Q>mo{H$¶mo (B) JrOm ZZ
ZZ
(C) Syria (D) Dubai (C) gr[a¶m (D) Xþ~B© ZZ
ZZ
69. Identify the piece that fits at ? 69. ? Ho$ gWmZ na ³¶m ghr hmoJm ZZ
ZZ
ZZ
ZZ

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

70. Which is the correct view from the side of arrow 70. {MÌ H$m Vra H$s {Xem ‘o ghr Ñí¶ {MpÝhV H$ao

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

71. Identify the correct View as indicated by the 71. {MÌ H$m Vra H$s {Xem ‘o ghr Ñí¶ {MpÝhV H$ao
arrow.

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

3-AA ] [ 15 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 72. Identify the View as indicated by the arrow. 72. {MÌ H$m Vra H$s {Xem ‘o ghr Ñí¶ {MpÝhV H$ao
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
(A) A (B) B (A) A (B) B
ZZ
(C) C (D) D (C) C (D) D
ZZ
73. Identify the View as indicated by the arrow. 73. {MÌ H$m Vra H$s {Xem ‘o ghr Ñí¶ {MpÝhV H$ao

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

74. Identify the elevation show by the arrow. 74. {MÌ H$m Vra H$s {Xem ‘o ghr Ñí¶ {MpÝhV H$ao

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

75. The total number of triangles given in the figure 75. {MÌ ‘o {ÌH$moUmo H$s g§»¶m ~VmE
below are

(A) 12 (B) 15 (A) 12> (B) 15
(C) 16 (D) 18 (C) 16 (D) 18

3-AA ] [ 16 ] [ Contd...

ZZ
ZZ
ZZ
76. How many surfaces are in the solid object 76. {MÌ ‘o {XImE T>mog H$s gVoh ~VmE ZZ
shown below?
ZZ
ZZ
ZZ
ZZ
ZZ
(A) 10 (B) 8 (A) 10 (B) 8 ZZ
(C) 9 (D) 12 (C) 9 (D) 12 ZZ
ZZ
77. Count the number of edges of the shape 77. {M{ÌV AmH$ma H$s Ymao ~VmE

(A) 15 (B) 18 (A) 15 (B) 18
(C) 20 (D) 22 (C) 20 (D) 22

78. Jantar Mantar was built as a/an 78. OÝVa ‘§Va H$m {Z‘m©U H$m H$maU
(A) Place of Tantrik Worship (A) VmqÌH$ nyOm ñWb
(B) Observatory (B) doYembm
(C) Shrine (C) Ԥ{Xa
(D) Remembrance (D) ¶mXJma

79. When folded along doted lines which object 79. {ZåZ H$mo q~Xþ aoIm na ‘moS>Zo go ³¶m én {ZH$boJm
will the development form?

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

3-AA ] [ 17 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 80. Identify the following figure 80. {ZåZ {MÌ ³¶m Xem©Vm h¡
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ (A) Stone is wall in Plan (A) $nËWa H$s Xrdmb ßbmZ ‘o
ZZ (B) Brick wall in elevation (B) B§Q> H$s Xrdmb EbrdoeZ ‘o
(C) Brick wall in plan (C) B§Q> H$s Xrdmb ßbmZ ‘o
(D) Stone wall View (D) $nËWa H$s Xrdmb H$m Ñí¶

81. Identify the correct figure which can replace 81. R>rH$ CXmhaU H$mo ~VmE Omo ? Ho$ ñWmZ na Am
the question mark from the given choices gHo$

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

82. Identify the Building 82. Xem©E ^dZ H$mo nhMm{Z¶o

(A) Kedarnath Temple (A) Ho$XmaZmW Ԥ{Xa
(B) Kailash Temple (B) H¡$bme ‘§{Xa
(C) Lingaraj Temple (C) qbJamO Ԥ{Xa
(D) Meenakshi Temple (D) ‘rZmjr ‘§{Xa

3-AA ] [ 18 ] [ Contd...

ZZ
ZZ
ZZ
83. Identify the number of squares in the given 83. {MÌ ‘o dJm} H$s g§»¶m ~VmE ZZ
problem figure ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
(A) a (B) b (A) a (B) b
(C) c (D) d (C) c (D) d

84. Identify the odd figure out 84. {df‘ {MÌ H$mo qMpÝhV H$[a¶o

(A) a (B) b (A) a (B) b
(C) c (D) d (C) c (D) d

85. Identify the Front View of the given problem 85. {MÌ H$m gm‘Zo H$m Ñí¶ nhMm{Z¶o
figure,

(A) a (B) b (A) a (B) b

(C) c (D) d (C) c (D) d

86. Brass is an Alloy of   86. nrVb {H$Z YmVwAmo H$mo {‘bmH$a ~ZVm h¡
(A) Copper and Steel (A) Vm§å~m VWm bmohm
(B) Copper and Zinc (B) Vm§å~m VWm OñVm
(C) Zinc and Tin (C) OñVm VWm {Q>Z
(D) Copper with high lead content (D) Vm§å~m VWm boS>

3-AA ] [ 19 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 87. The object will look like from the direction 87. Xr hþB© dñVw Vra H$s {Xem go H¡$gr {XIoJr
ZZ of the arrow
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
(A) a (B) b (A) a (B) b
(C) c (D) d (C) c (D) d

88. Identify the Monument 88. ñ‘maH$ H$mo nhMm{Z¶o

(A) Shiva Temple Kanchipuram (A) {ed ‘§{Xa H$m§Mrnwa‘
(B) Natraj Temple (B) ZQ>amO Ԥ{Xa
(C) Konark Sun Temple (C) H$moUH©$ gy¶© ‘§{Xa
(D) Sun Temple Modhera (D) ‘moT>oam gy¶© ‘§{Xa

89. Identify the fourth problem figure (?) from 89. Mm¡Wo {MÌ (?) Ho$ ñWmZ na ³¶m AmEJm
figures

? ?

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

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

3-AA ] [ 20 ] [ Contd...

ZZ
ZZ
ZZ
90. Identify the view from the arrow side 90. {MÌ H$m Vra H$s {Xem ‘o {MÌ ~VmE ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
ZZ
(A) a (B) b
ZZ
(A) a (B) b ZZ
(C) c (D) d (C) c (D) d

91. If a cube of sides 8 cm is melted and cubes of 91. EH$ 8cm Ho$ KZ H$mo Jbm H$a 4cm Ho$ {H$VZo
sides 4 cm are made, how many cubes will you
KZ ~ZoJo.
get?
(A) 4 (B) 8 (A) 4 (B) 8
(C) 2 (D) 16 (C) 2 (D) 16

92. Identify the building 92. ^>dZ H$mo nhMm{Z¶o

(A) Kalpataru Apartments (A) H$ënVé AnmQ>©‘|ÝQ>
(B) Kanchanjunga Apartments (B) H§$MZO§Jm AnmQ>©‘|ÝQ>

(C) Lodha Apartment (C) bmoT>m AnmQ>©‘|ÝQ>

(D) Piramal tower (D) nram‘b Q>mda

93. Incandescence is 93. B§ZH|$S>|goÝg EH$
(A) Light Emission from Hot Body (A) EH$ J‘© dñVw go {ZH$bVr amoeZr

(B) Pollution Brightness (B) àXÿfU H$s amoeZr

(C) Light with Loud Sound (C) VoO Üd{Z Ho$ gmW amoeZr

(D) None of the above (D) BZ‘| go H$moB© Zhr

3-AA ] [ 21 ] [ P.T.O.

ZZ
ZZ
ZZ
ZZ 94. India Habitat Centre is designed by 94. B§{S>¶m h¡{~Q>mQ> goÝQ>a Ho {S>OmBZ H$Vm© h¢…
ZZ (A) Satish Gujral (A) gVre JwOamb
ZZ
ZZ (B) Charles Correa (B) Mmëg© H$mo[a¶m
ZZ (C) J A Stein (C) Oo E ñQ>mBZ
ZZ
ZZ (D) Raj Rewal (D) amO aodmb
ZZ
ZZ 95. V7 concept given by Le Corbusier refers to 95. br H$m~w©{O¶o H$s V-7 g§H$ënZm H$m VmËn¶©
(A) Neighborhood Planning (A) Zo~ahþS> n[a¶moOZm
(B) Housing Typologies > (B) Amdmgmo Ho$ àH$ma
(C) Modular Design Principle (C) ‘moSw>ba {S>OmBZ Ho$ {Z¶‘
(D) Hierarchy of Roads (D) g‹S>H$m| H$m AZwH«$‘

96. Identify the building shown 96. Xem©Mo ^dZ H$mo nhMm{Z¶o

(A) All Saints Cathedral Prayagraj (A) $Amb g§V H¡$WoS>ab, à¶mJamO
(B) St Cathedral, Goa (B) g§V H¡$WoS>ab, Jmodm
(C) St Aloysius Chapel, Managlore (C) g§V Abmo{g¶ M¡nob$, ‘§Jbmoa
(D) Jewish museum, Cochin (D) ¶hÿXr g§J«hmb¶, H$moMrZ

97. Architrave is a   97. AmH$s©Q´>od ³¶m h¡
(A) Arch (A) ‘oham~
(B) Ornamental Molding (B) Z¸$merXma ‘mopëS>¨J
(C) Pillar Base (C) ñVå^ H$m {ZMbm ^mJ
(D) Door Opening (D) XadmOo H$m Iwbm ^mJ

3-AA ] [ 22 ] [ Contd...

ZZ
ZZ
ZZ
98. Star Rating of an Air Conditioner is determined 98. dmVmZwHy$bZ ¶§Ìm| H$s ñQ>ma aoqQ>J H$aZo H$m AmYma ZZ
by its (A) {~Obr H$s InV
ZZ
(A) Power Consumption
ZZ
(B) {~Obr H$s XjVm H$m AZwnmV
ZZ
(B) Energy Efficiency Ratio (C) R>§S>m H$aZo H$s j‘Vm ZZ
(C) Cooling Capacity (D) H$åàoga H$s XjVm ZZ
(D) Power of Compressor ZZ
ZZ
99. dmñVwH$mb H$m g~go ~‹S>m nwéñH$ma ZZ
99. The Highest award for Architecture is   (A) {àñH$a nwéñH$ma
(A) Pritzker prize (B) ~«yH$a> nwéñH$ma
(B) Booker Prize (C) ‘oJgmgo nwéñH$ma
(C) Magsaysay Prize (D) Zmo~ob nwéñH$ma
(D) Nobel Prize

100. {MÌ H$s Ymam| H$s {JZVr H$[a¶o
100. Count the number of edges

(A) 32 (B) 16
(A) 32 (B) 16 (C) 26 (D) 24
(C) 26 (D) 24

3-AA ] [ 23 ] [ P.T.O.

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

3-AA ] [ 24 ]