UPSEE 2016 Paper 4 Question Paper.pdf

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PAPER-4 AZwH«$‘m§H$ /

Roll No.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H«$‘m§H$

DA

Question Booklet Sr. No.

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$ÝÐmÜ¶j H$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 {ZË¶ 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 No. of Pages in Booklet including title

PAPER-4 AZwH«$‘m§H$ /

32

Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

g‘¶ 2.30 K§Q>o Time 2.30 Hours

àíZnwpñVH$m H«$‘m§H$/

A§H$ / Marks 500

nwpñVH$m ‘| àíZm| H$s g§»¶m No. of Questions in Booklet

100 Questions & Drawing Sheet

Question Booklet Sr. No.

Roll No.

H$j {ZarjH$ Ho$ hñVmja

/Signature of the Invigilator àíZnwpñVH$m H$moS>

DA

narjmWu H$m Zm‘/

Name of Candidate :

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

Aä¶{W©¶m| hoVw Amdí¶H$ {ZX}e :

Q. Booklet Code

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|& 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$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& 3. àË¶oH$ 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$mQ>m OmEJm& 4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 5. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X H$m à¶moJ d{O©V h¡& 6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr Om¶oJr& 7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m AÝ¶ {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$Vm h¡& 8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ ‘mZm Om¶oJm& 9. OMR sheet Bg Paper Ho$ ^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&

1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet. 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. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer. 5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Candidate will be allowed to leave the examination hall at the end of examination time period only. 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. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 9. 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.

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

PAPER-4

Aptitude Test for Architecture Mathematics & Aesthetic Sensitivity Drawing Aptitude

– Part A : – Part B :

PART-A / ^mJ-A MATHEMATICS & AESTHETIC SENSITIVITY / 001.

If the two finite sets X and Y have m and n elements respectively and the total number of subsets of X is 56 more than the total number of subsets of Y, then the values of m and n respectively are

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

002.

1 1 If f (x) = x3 - 3 , then f (x) + f ` j is x x equal to 2 (A) 2x3 (B) 3 x (C) 1 (D) 0

4 - DA ]

Q. 1 to 100 Q. 1 & 2

J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r

001.

¶{X Xmo n[a{‘V g‘wÀM¶ X VWm Y H«$‘e: m VWm n Ad¶d aIVo h¢ Am¡a X Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m, Y Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m go 56 A{YH$ h¡ Vmo m VWm n Ho$ ‘mZ H«$‘e: h¢-

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

002.

¶{X f (x) = x3 ‘mZ h¡-

(A) 2x3

(C) 1

[ 2 ]

1 , x3

Vmo

1 f (x) + f ` j x

H$m

2 x3 (D) 0

(B)

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The

domain of 1 is f (x) = x- x

the

function

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D) None of the options

004.

If sin θ and cos θ are roots of the equation

1 x- x

003.

’$bZ

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D)

004.

¶{X g‘rH$aU ax2 - bx + c = 0 Ho$ ‘yb sin θ VWm cos θ h¢ Vmo a, b VWm c {ZåZ gå~ÝY H$mo g§VwîQ> H$aVo h¢-

ax 2 - bx + c = 0 , then a, b and c satisfy the relation

f (x) =

H$m àmÝV h¡

BZ‘| go H$moB© {dH$ën Zht

(A) a 2 + 2ac - b = 0

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

(D) a 2 + b 2 + 2bc = 0

005.

The value of cos

005.

cos

(A)

1 (C) - 16

is 1 16

r 2r 4r 8r cos cos cos 5 5 5 5 (B)

1 8

r 2r 4r 8r cos cos cos 5 5 5 5 1 16

(B)

H$m ‘mZ h¡

1 8

(A)

1 (C) - 16

006.

The minimum value of 3cosθ + 4sinθ + 8

006.

ì¶§OH$ 3cosθ + 4sinθ + 8 H$m Ý¶yZV‘ ‘mZ h¡-

is

(A) 3

(B) 9

(C) 7

(D) 5

1 (D) 8

(A) 3

(B) 9

(C) 7

(D) 5

4 - DA ]

[ 3 ]

1 (D) 8

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

007.

The equation z + 2 - i - z - 2 + i = 0 represents

007.

g‘rH$aU h¡-

(A) straight lines

(A)

gab aoImE±

(B) ellipse

(B)

XrK©d¥Îm

(C) parabola

(C)

nadb¶

(D) hyperbola

(D)

A{Vnadb¶

008.

The smallest positive integer n for which ^1 + ih2n = ^1 - ih2n is

008.

gå~ÝY ^1 + ih2n = ^1 - ih2n Ho$ {bE g~go N>moQ>m YZmË‘H$ nyUmªH$ n hmoJm-

(A) 4

(B) 8

(A) 4

(B) 8

(C) 2

(D) 16

(C) 2

(D) 16

009.

If α, β and γ are the roots of the equation x3 - 3x 2 + 3x + 7 = 0 and ω is the cubic root of unity, then the value of a-1 + b-1 + c-1 is b-1 c-1 a-1 3 (A) (B) ~2 ~ (C) 2 ~2 (D) 3 ~2

009.

¶{X g‘rH$aU x3 - 3x2 + 3x + 7 = 0 Ho$ ‘yb α, β VWm γ h¡ VWm BH$mB© H$m KZ‘yb ω h¡ Vmo

010.

z+2-i - z-2+i =0

Xem©Vm

a-1 + b-1 + c-1 H$m b-1 c-1 a-1 3 (A) (B) ~2 ~

(C) 2 ~2

The third term of a G.P. is 4, then the product of its first five terms is

010.

¶{X EH$ G.P. H$m Vrgam nX 4 h¡ Vmo BgHo$ nhbo nm±M nXm| H$m JwUZ’$b hmoJm

(A) 45

(A) 45

(B) 54

(B) 54

(C) 44

(C) 44

(D) None of the options

(D)

011.

011.

{dñVma

(A) 35344

(B) 25344

The coefficient of x11 in the expansion of 2 12 c x3 - 2 m is x (A) 35344 (B) 25344

(C) –25344

(D) –35344

(C) –25344

4 - DA ]

‘mZ h¡-

(D) 3 ~2

BZ‘o go H$moB© {dH$ën Zht c x3 -

2 12 m x2

‘| x11 H$m JwUm§H$ h¡-

(D) –35344

[ 4 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD 9 p + xm x p

The middle term(s) in the expansion of 9 p c + x m is x p 126p 126x (A) (B) x p 126 126x (C) (D) 2 p p

012.

c

(A)

If the coefficients of 2nd, 3rd and 4th terms in the expansion of ^1 + xhn are in A.P., the values of n is -

013.

Ho$ {dñVma ‘o 2nd, 3rd VWm 4th nXm| Ho$ JwUm§H$ A.P. ‘| h¡ Vmo n Ho$ ‘mZ h¢-

(A) 5, 8

(B) (4, 9)

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

(C) 2, 7

(D) 3, 8

014.

The two lines ax + by = c and al x + bl y = cl are perpendicular to each other then

014.

¶{X Xmo aoImE± ax + by = c VWm al x + bl y = cl nañna EH$ Xÿgao Ho$ bå~dV h¢ Vmo

(A) aal + bbl = 0 (B) al b + abl = 0

(C) al b + abl = 1 (D) abl + al bl = - 1

015.

nadb¶ x2 = 12y Ho$ erf© VWm nadb¶ Ho$ Zm{^bå~ Ho$ {gam| {~ÝXþAm| H$mo Omo‹S>Zodmbr aoImAm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A) 12

(B) 16

013.

Ho$ {dñVma ‘o ‘Ü¶ nX h¡126p x 126 (D) p

126x p 126x (C) p2

(B)

^1 + xhn

(A) aal + bbl = 0 (B) al b + abl = 0

(C) al b + abl = 1 (D) abl + al bl = - 1

015.

The area of triangle formed by the lines joining the vertex of the parabola x2 = 12y to the extremities of the latus rectum (of the parabola) is

(A) 12

(B) 16

(C) 24

(C) 24

(D) None of the options

(D)

016.

If two vectors a = 2it - tj + 2kt and b = 3it + mtj + kt are perpendicular then the value of λ is

016.

¶{X

(A) 8

(B) 4

(A) 8

(B) 4

(C) 6

(D) 2

(C) 6

(D) 2

4 - DA ]

BZ‘| go H$moB© {dH$ën Zht Xmo

g{Xe

b = 3it + mtj + kt

a = 2it - tj + 2kt

bå~dV h¢ Vmo

λ

VWm H$m ‘mZ

hmoJm-

[ 5 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

017.

If for vectors a and b , a = 8, b = 3 and a # b = 12 , then value of a $ b is

017.

¶{X g{Xe a VWm b , Ho$ {bE a = 8, b = 3 VWm a # b = 12 , hmo Vmo a $ b H$m ‘mZ hmoJm

(A) 6 3

(A) 6 3

(B) 8 3

(B) 8 3

(C) 12 3

(C) 12 3

(D) None of the options

(D)

BZ‘| go H$moB© {dH$ën Zht

018.

If

018.

¶{X

a, b, c

a , b , c are unit vectors such that a + b + c = 0 , then the value of a .b + b .c + c .a is

(A) 1

(A) 1

(B) 3

(B) 3

3 (C) 2 (D) None of the options 2

a+b+c

‘mZ hmoJm-

2

Bg àH$ma BH$mB© g{Xe h¡ {H$ = 0 V~ a .b + b .c + c .a H$m

3 (C) 2 (D) BZ‘|

go H$moB© {dH$ën Zht

019.

If ^a # b h + ^a $ b h = 144 and a = 4 , then b is equal to

019.

¶{X ^a # b h2 + ^a $ b h2 = 144 VWm Vmo b H$m ‘mZ hmoJm-

(A) 16

(A) 16

(B) 8

(B) 8

(C) 3

(C) 3

(D) None of the options

(D)

020.

The length of the latus rectum of the ellipse 3x 2 + y 2 = 12 is

020.

XrK©d¥Îm 3x2 + y2 = 12 Ho$ Zm{^bå~ H$s bå~mB© hmoJr

(A) 4

(A) 4

(B) 18

(B) 18

(C) 12

(C) 12

(D) None of the options

(D)

4 - DA ]

[ 6 ]

a =4

BZ‘| go H$moB© {dH$ën Zht

BZ‘o go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The equation of hyperbola with eccentricity 3/2 and focii at ^! 2, 0h is

021.

Cg A{Vnadb¶ H$m g‘rH$aU ³¶m hmoJm {OgH$s CËHo$ÝÐVm 3/2 VWm Zm{^ ^! 2, 0h na h¡

2 x2 - y = 4 (A) 4 5 9

2 x2 - y = 4 (A) 4 5 9

2 x2 - y = 4 (B) 9 9 9

(B)

2 x2 - y = 4 9 9 9

(C)

2 x2 - y = 1 4 9

(C)

2 x2 - y = 1 4 9

2 x2 - y = 4 (D) 5 4 9

(D)

2 x2 - y = 4 5 4 9

022.

XrK©d¥Îm

Aj H$m AmYm h¡ Vmo XrK©d¥Îm H$s CËHo$ÝÐVm ³¶m hmoJr?

022.

2 x2 + y = 1 a2 b2

The eccentricity of an ellipse 2 x2 + y = 1 , whose latus rectum is half a2 b2 of its minor axis is

(A)

1 2

(A)

1 2

(B)

2 3

(B)

2 3

(C)

3 2

(C)

3 2

(D) None of the options

(D)

BZ‘| go H$moB© {dH$ën Zht

2 x2 + y = If the foci of ellipse 1 and 25 b 2 2 x2 - y = 1 hyperbola coincide, 144 81 25 then the value of b 2 is

(A) 3

(A) 3

(B) 16

(B) 16

(C) 9

(C) 9

(D) 12

(D) 12

023.

4 - DA ]

2 x2 + y = 1 25 b 2

023.

¶{X XrK©d¥Îm

2 x2 - y = 1 144 81 25

H$m ‘mZ hmoJm-

[ 7 ]

H$m Zm{^bå~, bKw

VWm A{Vnadb¶

Ho$ Zm{^ gånmVr h¡ Vmo b2

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The area of the parallelogram whose diagonals are and 2it + tj + 2kt 2it - 2tj + 4kt is

024.

Cg g‘mÝVa MVw^w©O H$m joÌ’$b ³¶m hmoJm {OgHo$ {dH$U© 2it + tj + 2kt VWm 2it - 2tj + 4kt h¢

(A) 8 3

(A) 8 3

(B) 4 3

(B) 4 3

(C) 10 3

(C) 10 3

(D) None of the options

(D)

025.

If a + b + c = 0 , a = 3, b = 7 , then the angle between a and b is 2r r (A) (B) 6 3

025.

¶{X a + b + c = 0 , a = 3, a VWm b Ho$ ‘Ü¶ H$moU hmoJm -

(A)

r 6

(B)

2r 3

(C)

5r 3

(D)

r 3

¶{X Xmo ~bm| P + Q VWm P – Q H$m n[aUm‘r P2 + Q2 h¡ Vmo CZHo$ ‘Ü¶ H$moU hmoJm-

5r 3

r 3

b = 7,

Vmo

(C)

026.

The resultant of two forces P + Q and P – Q is P2 + Q2 then the angle between them is 2 2 1 P +Q o (A) cos –1 e 2 Q2 - P2

026.

2 2 1 P +Q o e (A) cos 2 Q2 - P2

P2 - Q2 o (B) cos e 2 Q + P2

(B) cos –1 e

P2 - Q2 o Q2 + P2

Q2 - P2 e o (C) cos Q2 + P2

(C) cos –1 e

Q2 - P2 o Q2 + P2

2 2 1 P -Q o (D) cos –1 e 2 P2 + Q2

(D) cos –1 e

2 2 1 P -Q o 2 P2 + Q2

027.

¶{X Xmo g{Xem| P VWm Q H$m n[aUm‘r R H$m ‘mZ 3 Q h¡ VWm P VWm R H$s {XemAmo§ Ho$ ‘Ü¶ P H$m ‘mZ hmoJmH$moU 30° h¡ Vmo Q

If the resultant R of two vectors P and Q is 3 Q and the angle between the directions of P and R is 30°, then the P value of is Q (A) 1.5

(A) 1.5

(B) 2.5

(B) 2.5

(C) 3

(C) 3

(D) None of the options

(D)

027.

(D)

BZ‘| go H$moB© {dH$ën Zht

–1

–1

4 - DA ]

[ 8 ]

–1

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

028.

A bullet moving with a velocity 10m/s enters a wooden wall and becomes at rest in 1 4 second, then the retardation is (in m/s2)

028.

(A) 100 m/s2

doJ 10m/s go J{V H$aVr hþB© EH$ Jmobr EH$ bH$‹S>r H$s Xrdma ‘o àdoe H$aVr h¡ VWm 1 4 goH$ÊS> ‘| {dam‘ ‘| AmVr h¡ Vmo ‘ÝXZ (m/s2 ‘|) hmoJm-

(A) 100 m/s2

(B) 200 m/s2

(B) 200 m/s2

(C) 40 m/s2

(C) 40 m/s2

(D) 80 m/s2

(D) 80 m/s2

029.

A stone is falling freely from the top of 9 a tower and covers the part of the 25 height of the tower in the last second. Then, the height of the tower is

029.

(A) 122.5m

(B) 245m

EH$ nËWa EH$ ‘rZma Ho$ erf© go ‘wº$ ê$n go 9 ^mJ {Ja ahm h¡ VWm ‘rZma H$s D$±MmB© H$m 25 ¶h A§{V‘ goH$ÊS> ‘| V¶ H$aVm h¡ Vmo ‘rZma H$s D$±MmB© hmoJr-

(A) 122.5m

(B) 245m

(C) 100m

(D) 125m

(C) 100m

(D) 125m

030.

A particle is thrown in upward direction with a velocity 9.8m/s. The position of the particle after 2 second will be

030.

EH$ H$U H$mo D$na H$s Va’$ doJ 9.8m/s go àjo{nV {H$¶m OmVm h¡ Vmo H$U H$s 2 goH$ÊS> ~mX pñW{V hmoJr-

(A) 100m

(B) 200m

(A) 100m

(B) 200m

(C) 0

(D) 250m

(C) 0

(D) 250m

031.

A man can throw a stone to the maximum distance of 196 m the maximum height attained by the stone during the flight is

031.

EH$ ì¶{º$ EH$ nËWa H$mo A{YH$V‘ 196 m Xÿar na ’|$H$ gH$Vm h¡ Vmo Bg CS²>S>¶Z Ho$ Xm¡amZ nËWa Ûmam àmßV H$s JB© A{YH$V‘ D$±MmB© hmoJr-

(A) 9.8m

(B) 49m

(A) 9.8m

(B) 49m

(C) 19.6m

(D) 98m

(C) 19.6m

(D) 98m

4 - DA ]

[ 9 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

032.

If the coefficients of x and x2 in the expansion of ^1 + xhm ^1 - xhn are 3 and – 6 respectively, then the value of m is

(A) 12

(B) 10

(C) 15

(D) None of the options

033.

The sum of infinite series 3

3

3

2 +3 +4 + ..... is 2 3 4 (A) e (B) 3e

(C) 5e

034.

032.

¶{X ^1 + xhm ^1 - xhn Ho$ {dñVma ‘| x VWm x2 Ho$ JwUm§H$ H«$‘e: 3 VWm – 6 h¡ Vmo m H$m ‘mZ hmoJm-

(A) 12

(B) 10

(C) 15

(D)

033.

AZÝV loUr H$m ¶moJ hmoJm-

1+

BZ‘| go H$moB© {dH$ën Zht

23 + 33 + 43 + ........ 2 3 4 (A) e (B) 3e

(C) 5e

034.

AZÝV loUr H$m ¶moJ hmoJm-

The sum of infinite series 1 + 1 + 1 + ....... is 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

1 + 1 + 1 + ....... 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

(C) 1+loge2

(C) 1+loge2

035.

The total number of matrices of order 3 × 3 with entries 0, 1 is

035.

H$mo{Q> 3 × 3 Ho$ gmW à{dpîQ>¶m± 0, 1 dmbr ‘o{Q´>³gmo H$s Hw$b g§»¶m hmoJr-

(A) 512

(A) 512

(B) 256

(B) 256

(C) 1024

(C) 1024

(D) None of the options

(D)

036.

3 7 G, the value of det (AadjA) is If A = = 11 13

036.

(A) 4441

(B) 4414

(C) 1444

(D) 4144

1+

4 - DA ]

(D) 2e

(D) loge2–1

(D) 2e

(D) loge2–1

BZ‘| go H$moB© {dH$ën Zht

¶{X A = =11 hmoJm-

Vmo

(A) 4441

(B) 4414

(C) 1444

(D) 4144

[ 10 ]

3 7 G, 13

det (AadjA)

H$m ‘mZ

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

037.

0 If f (x) = x + a x+b

x-a 0 x+c

(A) f (a) = 0

(C) f (c) = 0

x-b x - c , then 0

x-b x - c , Vmo 0

037.

¶{X

(B) f (b) = 0

(A) f (a) = 0

(B) f (b) = 0

(D) f (0) = 0

(C) f (c) = 0

(D) f (0) = 0

cos t t If f (t) = 2 sin t t sin t t equal to

(A) –1

(B) –2

(C) 0

(D) 3

038.

x-a 0 x+c

0 f (x) = x + a x+b

1 2t , then t

lim t"0

f (t) is t2

cos t t f (t) = 2 sin t t sin t t

1 2t , t

038.

¶{X

‘mZ hmoJm-

(A) –1

(B) –2

(C) 0

(D) 3

Vmo

lim t"0

f (t) t2

H$m

sin (r cos 2 x) H$m ‘mZ hmoJm x2 (A) π (B) 1

(D) π2

(C) – π

16 , then f l (- 8) is x

040.

¶{X

1 8

(A)

1 8

(B)

1 12

(B)

1 12

(C)

1 4

(C)

1 4

(D)

1 3

(D)

1 3

041.

The area of the triangle formed by the coordinate axes and the tangent to the curve y = loge x at the point (1,0) is 1 (A) (B) 1 2 3 (C) 2 (D) 2

041.

{~ÝXþ (1,0) na dH«$ y = loge x H$s ñne© aoIm VWm {ZX}em§H$ Ajm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A)

sin (r cos 2 x) is equal to x2 (A) π (B) 1

(C) – π

040.

If f (x) = 1 - x 2/3 +

(A)

039.

039.

lim x"0

4 - DA ]

[ 11 ]

lim x"0

(D) π2

f (x) = 1 - x 2/3 +

1 2 (C) 2

16 , Vmo f l (- 8) x

hmoJm

(B) 1 3 (D) 2

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

e3x - 1 is tan x (A) 1

(B) 3

(C) 1/3

(D) None of the options

043.

b If the function f (x) = x 2 + has a local x minimum at x = 2, the b is equal to

043.

’$bZ

(A) 4

(B) 8

(A) 4

(B) 8

(C) 12

(D) 16

(C) 12

(D) 16

044.

If

044.

¶{X # ^ x 4 + x2 + 1h49 ^2x3 + xh dx =

042.

lim x"0

# ^ x4 + x2 + 1h49 ^2x3 + xh dx =

to

1 ^ 4 + 2 + h50 + x x 1 c Then a is equal a

(A) 100

(B) 50

(C) 200

(D) 400

e3x - 1 tan x

042.

lim x"0

(A) 1

(B) 3

(C) 1/3

(D)

BZ‘| go H$moB© {dH$ën Zht f (x) = x 2 +

1 ^ 4 + 2 + h50 + x x 1 c Vmo a H$m a (A) 100 (B) 50

(C) 200

8

045.

The value of the integral

#

2

(A) 5

(B) 10

(C) 3

(D) 8

046.

Two unbiased dice are rolled simultaneously. The probability of getting an odd number on the first die or the sum of the numbers to be 8 is

(A) (C)

4 - DA ]

11 36

(B)

23 36

(D)

g‘mH$b # 2

10 - x dx is x + 10 - x

17 36 21 36

b x

H$m ñWmZr¶ {ZpåZîQ> x = 2 na h¡ Vmo b H$m ‘mZ h¡-

8

045.

H$m ‘mZ hmoJm-

‘mZ hmoJm

(D) 400

10 - x dx x + 10 - x

H$m ‘mZ hmoJm

(A) 5

(B) 10

(C) 3

(D) 8

046.

Xmo {~Zm nydm©J«h dmbo nmgm| H$mo EH$ gmW bw‹T>H$m¶m OmVm h¡ nhbo nmgo na {df‘ g§»¶m nmZo H$s ¶m g§»¶mAm| H$m ¶moJ 8 hmoZo H$s àm{¶H$Vm hmoJr

(A)

11 36

(B)

17 36

(C)

23 36

(D)

21 36

[ 12 ]

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www.myengg.com 047.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

A natural number x selected at random

047.

EH$ àmH¥$V g§»¶m x H$mo àW‘ 100 àmH¥$V g§»¶mAm| ‘| go ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo x + 100 > 50 H$s àm{¶H$Vm hmoJrx

from first 100 natural numbers. The 100 probability that x + > 50 is x

(A)

3 50

(B)

41 50

(A)

3 50

(B)

41 50

(C)

11 20

(D)

17 20

(C)

11 20

(D)

17 20

048.

Two fair dice are rolled simultaneously. The probability that the sum of numbers (appear on the faces of both dice) is 7 or 11 is 1 2 (A) (B) 9 9 7 4 (C) (D) 9 9

048.

Xmo ghr nmgm| H$mo EH$ gmW bwT>H$m¶o OmVo h¢ Vmo XmoZm| nmgm| Ho$ ’$bH$m| na àH$Q> g§»¶mAm| Ho$ Omo‹S> 7 ¶m 11 hmoZo H$s àm{¶H$Vm hmoJr-

(A)

The unit vector perpendicular to both of the vectors a = 2it - 3tj + 5kt, b =- it + 4tj + 2kt is

049.

049.

1 9 7 (C) 9

2 9 4 (D) 9 (B)

g{Xem|

a = 2it - 3tj + 5kt,

b =- it + 4tj + 2kt

Ho$ bå~dV BH$mB© g{Xe

XmoZm| hmoJm-

(A)

- 26it - 9tj + 5kt 782

(A)

- 26it - 9tj + 5kt 782

(B)

26it + 9tj - 10kt 782

(B)

26it + 9tj - 10kt 782

(C)

26it - 10tj + 5kt 782

(C)

26it - 10tj + 5kt 782

(D)

62it + 9tj - 5kt 782

(D)

62it + 9tj - 5kt 782

050.

Out of 2n + 1 consecutive natural number if three number are selected at random, the probability that they are in A.P. is 2n + 1 3n (A) (B) 2 4n + 1 4n 2 + 1

050.

2n + 1 H«$‘mJV

(A)

3n 4n 2 + 1

(B)

2n + 1 4n 2 + 1

(C)

3n + 1 4n 2 - 1

(D)

3n 4n 2 - 1

(C)

4 - DA ]

3n + 1 4n 2 - 1

(D)

3n 4n 2 - 1

[ 13 ]

àmH¥$V g§»¶mAm| ‘| go ¶{X VrZ g§»¶mAm| H$mo ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo BZHo$ A.P. ‘| hmoZo H$s àm{¶H$Vm ³¶m hmoJr-

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

051.

Indicate the correct top view of the image?

051.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

052.

Indicate the correct top view of the image?

052.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

4 - DA ]

[ 14 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

053.

Indicate the correct top view of the image?

053.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(C)

(B)

(C)

(D)

(D)

054.

Indicate the correct top view of the image?

054.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DA ]

[ 15 ]

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www.myengg.com 055.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Indicate the correct top view of the image?

(A)

(A)

(B)

(B)

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

055.

(C)

(C)

(D)

(D)

056.

Which of the figures can be used to continue the series?

056.

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

?

(A)

(B)

?

(A)

(B)

(C)

(D)

(C)

(D)

4 - DA ]

[ 16 ]

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www.myengg.com 057.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which of the figures can be used to continue the series?

?

(A)

(B)

(C)

(D)

058.

057.

{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)

Select the figure which is odd one out

058.

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

(A)

(B)

(A)

(C)

(D)

(C)

059.

Select the figure which is odd one out

059.

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

(B)

(D)

(A)

(B)

(C)

(D)

4 - DA ]

(A)

(B)

(C)

(D)

[ 17 ]

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www.myengg.com 060.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD 060.

Select a suitable figure to complete the figure matrix

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

061.

Select a suitable figure to complete the figure matrix

061.

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

{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 ]

(A)

(B)

(C)

(D)

[ 18 ]

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www.myengg.com 062.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

062.

(A)

(B)

(C)

(D)

063.

Select a suitable figure to complete the figure matrix

(A)

(B)

(C)

(D)

063.

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

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

(A)

(A)

(B)

(C)

(D)

4 - DA ]

(B)

(C)

(D)

[ 19 ]

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www.myengg.com 064.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

064.

(A)

(B) (C)

(A)

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

(B)

(C)

(D)

065.

What is the minimum number of straight lines that is needed to construct the figure?

(A) 11

(B) 13

(C) 15

(D) 21

066.

Count the number of squares in the following figure.

(D)

065.

ZrMo {XE JE {MÌ H$mo ~ZmZo ‘| H$‘ go H$‘ {H$VZr grYr aoIm H$s Amdí¶H$Vm hmoJr?

(A) 11

(B) 13

(C) 15

(D) 21

066.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 7

(B) 8

(C) 9

(D) 11

4 - DA ]

(A) 7

(B) 8

(C) 9

(D) 11

[ 20 ]

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www.myengg.com 067.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Count the number of squares in the following figure.

(A) 13

(B) 16

(C) 19

(D) 20

068.

What is the minimum number of different colours required to paint the given figure such that no two adjacent regions have the same colour?

067.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 13

(B) 16

(C) 19

(D) 20

068.

Xmo Amg nmg Ho$ joÌ ‘| EH$ a§J Zm aIVo hþE, Bg {MÌ H$mo H$‘ go H$‘ {H$VZo a§Jm| ‘| a§J gH$Vo h¢?

(A) 3

(B) 4

(C) 5

(D) 2

069.

Count the number of parallelogram in the given figure

(A) 3

(B) 4

(C) 5

(D) 2

069.

Bg {MÌ ‘| {H$VZo g‘mZm§Va h¢?

(A) 8

(B) 11

(C) 12

(D) 15

4 - DA ]

(A) 8

(B) 11

(C) 12

(D) 15

[ 21 ]

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www.myengg.com 070.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

070.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(A)

(B)

(C)

(D)

(C)

(D)

071.

Which cube CANNOT be made based on the unfolded cube?

071.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DA ]

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www.myengg.com 072.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

072.

(A)

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(C)

(B)

(C)

(D)

(D)

073.

Identify the logo

073.

bmoJmo H$mo nhMmZo

(A) Mahindra

(A)

‘qhÐm

(B) Mc donalds

(B)

‘¡H$ S>m°ZëS²>g

(C) Master chef

(C)

‘mñQ>a eo’$

(D) Mateo

(D)

‘Vo¶mo

4 - DA ]

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www.myengg.com 074.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Identify the logo

074.

bmoJmo H$mo nhMmZo

(A) Wikipedia

(A)

{d{H$nr{S>¶m

(B) Volkswagen

(B)

dm°³gd¡JZ

(C) Wordpress

(C)

dS>©àog

(D) Microsoft word

(D)

‘mBH«$mogm°âQ> dS>©

075.

Identify the logo

075.

bmoJmo H$mo nhMmZo

(A) Aditya Birla Group

(B) Airbus

(C) Ground Globe

(D) World Wide Web

076.

Identify the logo

(A)

Am{XË¶ {~abm J«wn

(B)

E¶a~g

(C)

J«mC§S> ½bmo~

(D)

dëS>© dmBS> do~

076.

bmoJmo H$mo nhMmZo

(A) Olympics

(B) Lord of the rings

(C) Master card

(D) Audi

4 - DA ]

(A)

(B)

Amob§{n³g bmS>© Am°’$ X [a¨½g

(C)

‘mñQ>a H$mS>©

(D)

Am°S>r

[ 24 ]

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www.myengg.com 077.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Identify the logo

077.

bmoJmo H$mo nhMmZo

(A) Blackberry

(B) Bosch

(C) Bhim App

(D) Bentley

078.

(A)

ãb¡H$~oar

(B)

~m°e

(C)

^r‘ Eon

(D)

~|Q>bo

Recognize the building from its silhouette.

078.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Twin Tower, WTC, New York

(A)

{Q‰>Z Q>mda, S>ãby, Q>r.gr. Ý¶y ¶m°H©$

(B) Petronas Tower, Malaysia

(B)

noQ´>moZg Q>mdg©, ‘bo{e¶m

(C) CN Tower, Tokyo

(C)

gr BZ Q>mda, Q>mo³¶mo

(D) CCTV Headquarters, Beijing

(D)

go go Q>r {d hoS> µH$dQ>g©, ~rqOJ

079.

Recognize the building from its silhouette.

079.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Lotus Temple, New Delhi

(A)

bmoQ>g Q>oånb, Z¶r {Xëbr

(B) Opera House, Sydney

(B)

Amonoam hmCg, {gS>Zr

(C) Hagia Sophia, Istanbul

(C)

hm{J¶m gmo{‹’$¶m, BñVm§~wb

(D) Jewish Museum, Berlin

(D)

Á¶yBe å¶w{g¶‘, ~{b©Z

4 - DA ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

080.

Recognize the building from its silhouette.

080.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Gateway of India, Mumbai

(A)

JoQ>do Am°‹’$ B§{S>¶m, ‘wå~B©

(B) Arc De Triomphe, Paris

(B)

AH©$ S>r {Q´>Amon, no[ag

(C) India Gate, New Delhi

(C)

(D) Buland Darwaza, Fatehpur Sikri

B§{S>¶m JoQ>, Z¶r {Xëbr >

(D)

~wb§X XadmOm, ’$Vohnwa grH$ar

081.

Recognize the building from its silhouette.

081.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Burj Al Arab, Dubai

(A)

~wO© Ab Aa~, Xþ~B©

(B) Burj Khalifa, Dubai

(B)

~wO© Ibr’$m, Xþ~B©

(C) St. Mary Axe, London

(C)

g§V. ‘¡ar A³g, bÝXZ

(D) Chrysler Building, New York

(D)

{H«$gba {~pëS>¨J, Ý¶y ¶m°H©$

082.

What does DPC stand for

082.

S>r.nr.gr. H$m ³¶m VmËn¶© h¡?

(A) Damp Proof Cement

(A)

S>¡ån ày’$ gr‘|Q>

(B) Damp Proof Certificate

(B)

S>¡ån ày’$ g{Q>©{’$Ho$Q>

(C) Detail Plan Certificate

(C)

{S>Q>ob ßbmZ g{Q>©{’$Ho$Q>

(D) Damp Proof Course

(D)

S>¡ån ày’$ H$mog©

4 - DA ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

083.

Which is the tallest building in the world?

083.

{dœ H$s g~go D±$Mr B©‘maV H$m¡Z gr h¡?

(A) Shanghai Towers

(A)

e§KmB© Q>mdg©

(B) One World Trade Centre

(B)

dZ dëS>© Q´>oS> g|Q>a

(C) Burj Khalifa

(C)

(D) Petronas Tower

~wO© Ibr’$m

(D)

noQ´>moZmg Q>mdg©

084.

Which of the following is the most

084.

{ZåZ ‘| go H$m¡Z gr gVh g~go namdV©H$ h¡?

reflective Surface?

(A)

³bo Q>mBb

(B)

{gao{‘H$ Q>mBb

(C)

H§$H«$sQ> Q>mBb

(D)

dwS>oZ Q>mBb

085.

{H$gr g^mJ¥h Ho$ {bE, {ZåZ ‘| go H$m¡Z go nXmW© H$s AÀN>o ldU JwU Ho$ {bE g§ñVw{V H$s OmVr h¡?

(A)

dwS> n¡ZoqbJ

(B)

{d{Q´>’$mB©S> Q>mBëg

(C)

E³gnmoÁS> {~«H$

(D)

‘oQ>b erQ>

086.

H$m¡Z go àmB‘ar a§J h¢?

(A)

bmb, nrbm, ham

(B)

bmb, nrbm, Zrbm

(C)

ham, Zma§Jr, Zrbm,

(D)

bmb, Zma§Jr, Zrbm

(A) Clay tile

(B) Ceramic tile

(C) Concrete tile

(D) Wooden tile

085.

Which of the following material is recommended for better acoustic quality of a hall?

(A) Wood Panelling

(B) Vitrified Tiles

(C) Exposed Bricks

(D) Metal sheet

086.

Which are the primary colors?

(A) Red, Yellow, Green

(B) Red, Yellow, Blue

(C) Green, Orange, Blue

(D) Red, Orange, Blue

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

087.

What does RCC stand for

087.

Ama.gr.gr. H$m ³¶m VmËn¶© h¡?

(A) Regular Cement Concrete

(A)

aoJwba gr‘|Q> H§$H«$sQ>

(B) Reinforced Cement Concrete

(B)

[aB§’$mog©S> gr‘|Q> H§$H«$sQ>

(C) Reinforced Concrete Composite

(C)

[aB§’$mog©S> H§$H«$sQ> H$ånmo{OQ>

(D) Regular Class Concrete

(D)

aoJwba ³bmg H§$H«$sQ>

088.

What does COA stand for

088.

gr.Amo.Eo. H$m ³¶m VmËn¶© h¡?

(A) Category of Associates

(A)

Ho$Q>oJar Am°’$ Egmo{gEQ²>g

(B) Class of Architects

(B)

³bmg Am°’$ Am{H©$Q>o³Q²>g

(C) Council of Architecture

(C)

H$m¢{gb Am°’$ Am{H©$Q>o³Ma

(D) Committee of Architects

(D)

H${‘Q>r Am°’$ Am{H©$Q>o³Q²>g

089.

What does NBC stand for

089.

E°Z.~r.gr. H$m ³¶m VmËn¶© h¡?

(A) National Building Code

(A)

Z¡eZb {~pëS>¨J H$moS>

(B) New Building Certificate

(B)

Ý¶y {~pëS>¨J g{Q>©{’$Ho$Q>

(C) National Building Committee

(C)

ZoeZb {~pëS>¨J H°${‘Q>r

(D) National Bar Council

(D)

Z¡eZb ~ma H$m¢{gb

090.

Who is the Architect of Guggenheim

090.

JJZh¢‘ å¶w{g¶‘, {~ë~mAmo, ñnoZ H$m dmñVw{dY H$m¡Z h¡?

(A)

’«¢$H$ bm°B©S> amBQ>

(B)

S>o{Z¶b boq~pñH$ÊS>

(C)

’«¢$H$ Koar

(D)

{’${bn Om|gZ

Museum in Bilbao Spain?

(A) Frank Loyd Wright

(B) Deniel Lebinskind

(C) Frank Ghery

(D) Philip Johnson

4 - DA ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

091.

Which Architect adopted the phrase 'LESS IS MORE' in architecture?

091.

(A) Norman Foster

dm³¶m§e "bog Bg ‘moa' H$mo {H$g dmñVw{dY Zo AnZm¶m? (A) Zm‘©Z ’$moñQ>a

(B) Walter Gropius

(B)

dmëQ>a J«wnr¶g

(C) Charles Corea

(C)

(D) Meis Van Der Rohe

Mmëg© H$mo[a¶m

(D)

‘rg doZ S>a amoho

092.

Where is Mehrangarh fort located?

092.

‘ohamZJ‹T> {H$bm H$hm± pñWV h¡?

(A) Jaipur

(B) Jodhpur

(A)

O¶nwa

(B)

OmoYnwa

(C) Agra

(D) Gwalior

(C)

AmJam

(D)

½dm{b¶a

093.

Which award architecture?

is

093.

H$m¡Z gm nwañH$ma dmñVwH$bm go gå~pÝYV h¡?

(A)

~wH$a àmBµO

(B)

kmZnrR> AdmS>©

(C)

AmJm ImZ AdmS>©

(D)

nw{bËµOa àmBµO

associated

with

(A) Booker Prize

(B) Jnanpith Award

(C) Aga Khan Award

(D) Pulitzer Prize

094.

Which city is called 'Silicon Valley of India'?

094.

(A) Mumbai

(B) Pune

H$m¡Z go eha "^maV H$s {g{bH$m°Z d¡br' Ho$ Zm‘ go OmZm OmVm h¡? (A) ‘wå~B© (B) nwUo

(C) Bengaluru

(D) Kolkata

(C)

095.

Which city is called 'City of Seven Islands'?

095.

H$m¡Z go eha "gmV {Ûnm| H$m eha' H$hm OmVm h¢?

(A) Mumbai

(B) Chandigarh

(A)

(B)

(C) Bengaluru

(D) Kolkata

‘wå~B©

M§S>rJ‹T>

(C)

~|Jbwé

(D)

H$mobH$mVm

4 - DA ]

[ 29 ]

~|Jbwé

(D)

H$mobH$mVm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

096.

Amongst the following, who is an Indian Architect?

(A) Edwin Lutyens

(B) Le Corbusier

(C) Charles Correa

(D) Zaha Hadid

097.

Which of the following buildings in majorly made in exposed brick work?

097.

(A) Raj Bhawan, New Delhi

(B) IIM, Ahmedabad

(C) IIT Kanpur

(D) Victoria Terminus, Mumbai

098.

What can Jantar Mantar do?

098.

(A) Measure the temperature

(B) Predict Rainfall

(C) Measure the time of the day

(D) None of the options

099.

Where are Ajanta & Ellora caves located?

099.

(A) Maharashtra

(B) Madhya Pradesh

(C) Karnataka

(D) Rajasthan

100.

Humayun's Tomb is majorly made of:

100.

(A) Red Marble Stone

(B) Red Sand Stone

(C) Laterite Stone

hþ‘m¶y± H$m ‘H$~am ‘w»¶V¶m {H$ggo {Z{‘©V h¡? (A) bmb g§J‘a‘a (B) bmb ~bwAm nËWa (C) boQ´>mB©Q> nËWa

(D) White Marble

(D)

4 - DA ]

096.

[ 30 ]

{ZåZ ‘| go H$m¡Z go dmñVw{dY ^maVr¶ h¢? (A) ES>{dZ bwQ>çoÝg (B) br H$m~w©{g¶a (C) Mmëg© H$mo[a¶m (D) Omhm hXrX

{ZåZ ‘| go H$m¡Z gm ^dZ ‘w»¶V¶m E³gnmoÁS> BªQ> go {Z{‘©V h¡? (A) amO ^dZ, ZB© {Xëbr (B) AmB©.AmB©.E‘., Ah‘Xm~mX (C) AmB©.AmB©.Q>r., H$mZnwa (D) {d³Q>mo[a¶m Q>{‘©Zg, ‘wå~B© O§Va ‘§Va ³¶m Xem©Vm h¡? (A) Vmn‘mZ (B) dfm© H$m AZw‘mZ (C) {XZ H$m g‘¶ (D) BZ‘| go H$moB© {dH$ën Zht AO§Vm Ebmoam H$s Jw’$m H$hm± pñWV h¡? (A) ‘hmamîQ´> (B) ‘Ü¶àXoe (C) H$Zm©Q>H$ (D) amOñWmZ

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

4 - DA ]

[ 31 ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

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SPACE FOR ROUGH WORK /

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H$ÀMo H$m‘ Ho$ {b¶o OJh

[ 32 ]

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

PAPER-4 AZwH«$‘m§H$ /

Roll No.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H«$‘m§H$

DB

Question Booklet Sr. No.

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$ÝÐmÜ¶j H$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 {ZË¶ 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 No. of Pages in Booklet including title

PAPER-4 AZwH«$‘m§H$ /

32

Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

g‘¶ 2.30 K§Q>o Time 2.30 Hours

àíZnwpñVH$m H«$‘m§H$/

A§H$ / Marks 500

nwpñVH$m ‘| àíZm| H$s g§»¶m No. of Questions in Booklet

100 Questions & Drawing Sheet

Question Booklet Sr. No.

Roll No.

H$j {ZarjH$ Ho$ hñVmja

/Signature of the Invigilator àíZnwpñVH$m H$moS>

DB

narjmWu H$m Zm‘/

Name of Candidate :

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

Aä¶{W©¶m| hoVw Amdí¶H$ {ZX}e :

Q. Booklet Code

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|& 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$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& 3. àË¶oH$ 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$mQ>m OmEJm& 4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 5. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X H$m à¶moJ d{O©V h¡& 6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr Om¶oJr& 7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m AÝ¶ {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$Vm h¡& 8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ ‘mZm Om¶oJm& 9. OMR sheet Bg Paper Ho$ ^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&

1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet. 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. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer. 5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Candidate will be allowed to leave the examination hall at the end of examination time period only. 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. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 9. 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.

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

PAPER-4

Aptitude Test for Architecture Mathematics & Aesthetic Sensitivity Drawing Aptitude

– Part A : – Part B :

PART-A / ^mJ-A MATHEMATICS & AESTHETIC SENSITIVITY / 001.

J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r

001.

If a , b , c are unit vectors such that a + b + c = 0 , then the value of a .b + b .c + c .a is

(A) 1

(A) 1

(B) 3

(B) 3

3 (C) 2 (D) None of the options

Q. 1 to 100 Q. 1 & 2

a , b , c Bg àH$ma BH$mB© g{Xe h¡ a + b + c = 0 V~ a .b + b .c + c .a

¶{X

‘mZ hmoJm-

3 (C) 2 (D) BZ‘|

go H$moB© {dH$ën Zht

002.

If ^a # b h + ^a $ b h = 144 and a = 4 , then b is equal to

002.

¶{X ^a # b h2 + ^a $ b h2 = 144 VWm Vmo b H$m ‘mZ hmoJm-

(A) 16

(A) 16

(B) 8

(B) 8

(C) 3

(C) 3

(D) None of the options

(D)

2

4 - DB ]

2

{H$ H$m

[ 2 ]

a =4

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

003.

The length of the latus rectum of the ellipse 3x 2 + y 2 = 12 is

003.

XrK©d¥Îm 3x2 + y2 = 12 Ho$ Zm{^bå~ H$s bå~mB© hmoJr

(A) 4

(A) 4

(B) 18

(B) 18

(C) 12

(C) 12

(D) None of the options

(D)

004.

The equation of hyperbola with eccentricity 3/2 and focii at ^! 2, 0h is

004.

Cg A{Vnadb¶ H$m g‘rH$aU ³¶m hmoJm {OgH$s CËHo$ÝÐVm 3/2 VWm Zm{^ ^! 2, 0h na h¡

BZ‘o go H$moB© {dH$ën Zht

2 x2 - y = 4 (A) 4 5 9

2 x2 - y = 4 (A) 4 5 9

2 x2 - y = 4 (B) 9 9 9

(B)

2 x2 - y = (C) 1 4 9

2 x2 - y = (C) 1 4 9

2 x2 - y = 4 (D) 5 4 9

(D)

005.

2 x2 - y = 4 9 9 9

2 x2 - y = 4 5 4 9 2 x2 + y = 1 a2 b2

The eccentricity of an ellipse 2 x2 + y = 1 , whose latus rectum is half a2 b2 of its minor axis is

(A)

1 2

(A)

1 2

(B)

2 3

(B)

2 3

(C)

3 2

(C)

3 2

(D) None of the options

(D)

4 - DB ]

005.

XrK©d¥Îm

Aj H$m AmYm h¡ Vmo XrK©d¥Îm H$s CËHo$ÝÐVm ³¶m hmoJr?

[ 3 ]

H$m Zm{^bå~, bKw

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

2 x2 + y = 1 25 b 2

2 x2 + y = 1 and 25 b 2 2 x2 - y = 1 hyperbola coincide, 144 81 25 then the value of b 2 is

(A) 3

(B) 16

(A) 3

(B) 16

(C) 9

(D) 12

(C) 9

(D) 12

007.

The area of the parallelogram whose diagonals are and 2it + tj + 2kt t t t 2i - 2j + 4k is

007.

Cg g‘mÝVa MVw^w©O H$m joÌ’$b ³¶m hmoJm {OgHo$ {dH$U© 2it + tj + 2kt VWm 2it - 2tj + 4kt h¢

(A) 8 3

(B) 4 3

(C) 10 3

(D)

008.

¶{X a + b + c = 0 , a = 3, a VWm b Ho$ ‘Ü¶ H$moU hmoJm -

(A)

r 6

(B)

2r 3

(C)

5r 3

(D)

r 3

¶{X Xmo ~bm| P + Q VWm P – Q H$m n[aUm‘r P2 + Q2 h¡ Vmo CZHo$ ‘Ü¶ H$moU hmoJm-

006.

If the foci of ellipse

(A) 8 3

(B) 4 3

(C) 10 3

(D) None of the options

008.

If a + b + c = 0 , a = 3, b = 7 , then the angle between a and b is r 2r (A) (B) 6 3

5r 3

r 3

¶{X XrK©d¥Îm

2 x2 - y = 1 144 81 25

H$m ‘mZ hmoJm-

BZ‘| go H$moB© {dH$ën Zht

(C)

009.

The resultant of two forces P + Q and P – Q is P2 + Q2 then the angle between them is 2 2 1 P +Q o (A) cos –1 e 2 Q2 - P2

009.

2 2 1 P +Q o e (A) cos 2 Q2 - P2

P2 - Q2 e o (B) cos Q2 + P2

(B) cos –1 e

P2 - Q2 o Q2 + P2

Q2 - P2 o (C) cos –1 e 2 Q + P2

(C) cos –1 e

Q2 - P2 o Q2 + P2

2 2 1 P -Q o (D) cos –1 e 2 P2 + Q2

2 2 1 P -Q o e (D) cos 2 P2 + Q2

–1

4 - DB ]

[ 4 ]

VWm A{Vnadb¶

Ho$ Zm{^ gånmVr h¡ Vmo b2

(D)

006.

b = 7,

Vmo

–1

–1

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010.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

If the resultant R of two vectors P and Q is 3 Q and the angle between the directions of P and R is 30°, then the P value of is Q (A) 1.5

(B) 2.5

(C) 3

(D) None of the options

011.

A bullet moving with a velocity 10m/s enters a wooden wall and becomes at rest in 1 4 second, then the retardation is (in m/s2)

011.

doJ 10m/s go J{V H$aVr hþB© EH$ Jmobr EH$ bH$‹S>r H$s Xrdma ‘o àdoe H$aVr h¡ VWm 1 4 goH$ÊS> ‘| {dam‘ ‘| AmVr h¡ Vmo ‘ÝXZ (m/s2 ‘|) hmoJm-

(A) 100 m/s2

(A) 100 m/s2

(B) 200 m/s2

(B) 200 m/s2

(C) 40 m/s2

(C) 40 m/s2

(D) 80 m/s2

(D) 80 m/s2

012.

A stone is falling freely from the top of 9 a tower and covers the part of the 25 height of the tower in the last second. Then, the height of the tower is

012.

EH$ nËWa EH$ ‘rZma Ho$ erf© go ‘wº$ ê$n go 9 ^mJ {Ja ahm h¡ VWm ‘rZma H$s D$±MmB© H$m 25 ¶h A§{V‘ goH$ÊS> ‘| V¶ H$aVm h¡ Vmo ‘rZma H$s D$±MmB© hmoJr-

(A) 122.5m

(B) 245m

(A) 122.5m

(B) 245m

(C) 100m

(D) 125m

(C) 100m

(D) 125m

013.

A particle is thrown in upward direction with a velocity 9.8m/s. The position of the particle after 2 second will be

013.

EH$ H$U H$mo D$na H$s Va’$ doJ 9.8m/s go àjo{nV {H$¶m OmVm h¡ Vmo H$U H$s 2 goH$ÊS> ~mX pñW{V hmoJr-

(A) 100m

(B) 200m

(A) 100m

(B) 200m

(C) 0

(D) 250m

(C) 0

(D) 250m

4 - DB ]

010.

¶{X Xmo g{Xem| P VWm Q H$m n[aUm‘r R H$m ‘mZ 3 Q h¡ VWm P VWm R H$s {XemAmo§ Ho$ ‘Ü¶ P H$m ‘mZ hmoJmH$moU 30° h¡ Vmo Q

(A) 1.5

(B) 2.5

(C) 3

(D)

[ 5 ]

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

014.

A man can throw a stone to the maximum distance of 196 m the maximum height attained by the stone during the flight is

014.

EH$ ì¶{º$ EH$ nËWa H$mo A{YH$V‘ 196 m Xÿar na ’|$H$ gH$Vm h¡ Vmo Bg CS²>S>¶Z Ho$ Xm¡amZ nËWa Ûmam àmßV H$s JB© A{YH$V‘ D$±MmB© hmoJr-

(A) 9.8m

(B) 49m

(A) 9.8m

(B) 49m

(C) 19.6m

(D) 98m

(C) 19.6m

(D) 98m

015.

If the coefficients of x and x2 in the expansion of ^1 + xhm ^1 - xhn are 3 and – 6 respectively, then the value of m is

015.

(A) 12

¶{X ^1 + xhm ^1 - xhn Ho$ {dñVma ‘| x VWm x2 Ho$ JwUm§H$ H«$‘e: 3 VWm – 6 h¡ Vmo m H$m ‘mZ hmoJm-

(A) 12

(B) 10

(B) 10

(C) 15

(C) 15

(D) None of the options

(D)

016.

The sum of infinite series

016.

AZÝV loUr H$m ¶moJ hmoJm-

1+

3

3

3

BZ‘| go H$moB© {dH$ën Zht

23 + 33 + 43 + ........ 2 3 4 (A) e (B) 3e

(C) 5e

017.

AZÝV loUr H$m ¶moJ hmoJm-

The sum of infinite series 1 + 1 + 1 + ....... is 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

1 + 1 + 1 + ....... 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

(C) 1+loge2

(C) 1+loge2

018.

The total number of matrices of order 3 × 3 with entries 0, 1 is

018.

H$mo{Q> 3 × 3 Ho$ gmW à{dpîQ>¶m± 0, 1 dmbr ‘o{Q´>³gmo H$s Hw$b g§»¶m hmoJr-

(A) 512

(A) 512

(B) 256

(B) 256

(C) 1024

(C) 1024

(D) None of the options

(D)

2 +3 +4 + ..... is 2 3 4 (A) e (B) 3e

(C) 5e

017.

1+

4 - DB ]

(D) 2e

(D) loge2–1

[ 6 ]

(D) 2e

(D) loge2–1

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

¶{X A = =11 hmoJm-

Vmo

(A) 4441

(B) 4414

(C) 1444

(D) 4144

019.

3 7 G, the value of det (AadjA) is If A = = 11 13

019.

(A) 4441

(B) 4414

(C) 1444

(D) 4144

020.

0 If f (x) = x + a x+b

x-a 0 x+c

(A) f (a) = 0

(C) f (c) = 0

x-b x - c , then 0

det (AadjA)

x-a 0 x+c

0 f (x) = x + a x+b

¶{X

(B) f (b) = 0

(A) f (a) = 0

(B) f (b) = 0

(D) f (0) = 0

(C) f (c) = 0

(D) f (0) = 0

(A) –1

(B) –2

(C) 0

(D) 3

1 2t , then t

lim t"0

f (t) is t2

cos t t f (t) = 2 sin t t sin t t

1 2t , t

021.

¶{X

‘mZ hmoJm-

(A) –1

(B) –2

(C) 0

(D) 3

Vmo

sin (r cos 2 x) H$m ‘mZ hmoJm x2 (A) π (B) 1

(D) π2

(C) – π

16 , then f l (- 8) is x

023.

¶{X

1 8

(A)

1 8

(B)

1 12

(B)

1 12

(C)

1 4

(C)

1 4

(D)

1 3

(D)

1 3

2 lim sin (r cos x) is equal to x"0 x2 (A) π (B) 1

(C) – π

023.

If f (x) = 1 - x 2/3 +

(A)

022.

4 - DB ]

022.

[ 7 ]

H$m ‘mZ

x-b x - c , Vmo 0

020.

cos t t If f (t) = 2 sin t t sin t t equal to

021.

3 7 G, 13

lim t"0

f (t) t2

H$m

lim x"0

(D) π2

f (x) = 1 - x 2/3 +

16 , Vmo f l (- 8) x

hmoJm

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024.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The area of the triangle formed by the coordinate axes and the tangent to the curve y = loge x at the point (1,0) is 1 (A) (B) 1 2 3 (C) 2 (D) 2

024.

{~ÝXþ (1,0) na dH«$ y = loge x H$s ñne© aoIm VWm {ZX}em§H$ Ajm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A)

1 2 (C) 2

025.

lim x"0

(A) 1

(B) 3

(C) 1/3

(D)

(B) 1 3 (D) 2

e3x - 1 is tan x (A) 1

(B) 3

(C) 1/3

(D) None of the options

026.

b If the function f (x) = x 2 + has a local x minimum at x = 2, the b is equal to

026.

’$bZ

(A) 4

(B) 8

(A) 4

(B) 8

(C) 12

(D) 16

(C) 12

(D) 16

027.

If

027.

¶{X # ^ x 4 + x2 + 1h49 ^2x3 + xh dx =

025.

lim x"0

to

# ^ x4 + x2 + 1h49 ^2x3 + xh dx =

1 ^ 4 + 2 + h50 + x x 1 c Then a is equal a

(A) 100

(B) 50

(C) 200

(D) 400

e3x - 1 tan x

BZ‘| go H$moB© {dH$ën Zht f (x) = x 2 +

The value of the integral 8

#

2

10 - x dx is x + 10 - x

(A) 5

(B) 10

(C) 3

(D) 8

4 - DB ]

b x

H$m ñWmZr¶ {ZpåZîQ> x = 2 na h¡ Vmo b H$m ‘mZ h¡-

1 ^ 4 + 2 + h50 + x x 1 c Vmo a H$m a (A) 100 (B) 50

(C) 200

8

028.

H$m ‘mZ hmoJm-

028.

g‘mH$b # 2

(D) 400

10 - x dx x + 10 - x

(A) 5

(B) 10

(C) 3

(D) 8

[ 8 ]

‘mZ hmoJm

H$m ‘mZ hmoJm

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029.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Two unbiased dice are rolled simultaneously. The probability of getting an odd number on the first die or the sum of the numbers to be 8 is 11 (A) 36 23 36

17 (B) 36 (D)

21 36

(C)

030.

A natural number x selected at random

029.

Xmo {~Zm nydm©J«h dmbo nmgm| H$mo EH$ gmW bw‹T>H$m¶m OmVm h¡ nhbo nmgo na {df‘ g§»¶m nmZo H$s ¶m g§»¶mAm| H$m ¶moJ 8 hmoZo H$s àm{¶H$Vm hmoJr

(A)

11 36

(B)

17 36

(C)

23 36

(D)

21 36

030.

EH$ àmH¥$V g§»¶m x H$mo àW‘ 100 àmH¥$V g§»¶mAm| ‘| go ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo x + 100 > 50 H$s àm{¶H$Vm hmoJrx

from first 100 natural numbers. The 100 probability that x + > 50 is x

(A)

3 50

(B)

41 50

(A)

3 50

(B)

41 50

(C)

11 20

(D)

17 20

(C)

11 20

(D)

17 20

031.

Two fair dice are rolled simultaneously. The probability that the sum of numbers (appear on the faces of both dice) is 7 or 11 is 1 2 (A) (B) 9 9 7 4 (C) (D) 9 9

031.

Xmo ghr nmgm| H$mo EH$ gmW bwT>H$m¶o OmVo h¢ Vmo XmoZm| nmgm| Ho$ ’$bH$m| na àH$Q> g§»¶mAm| Ho$ Omo‹S> 7 ¶m 11 hmoZo H$s àm{¶H$Vm hmoJr-

(A)

The unit vector perpendicular to both of the vectors a = 2it - 3tj + 5kt, b =- it + 4tj + 2kt is

032.

032.

1 9 7 (C) 9

2 9 4 (D) 9 (B)

g{Xem|

a = 2it - 3tj + 5kt,

b =- it + 4tj + 2kt

Ho$ bå~dV BH$mB© g{Xe

XmoZm| hmoJm-

(A)

- 26it - 9tj + 5kt 782

(A)

- 26it - 9tj + 5kt 782

(B)

26it + 9tj - 10kt 782

(B)

26it + 9tj - 10kt 782

(C)

26it - 10tj + 5kt 782

(C)

26it - 10tj + 5kt 782

(D)

62it + 9tj - 5kt 782

(D)

62it + 9tj - 5kt 782

4 - DB ]

[ 9 ]

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033.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Out of 2n + 1 consecutive natural number if three number are selected at random, the probability that they are in A.P. is 2n + 1 3n (A) (B) 4n 2 + 1 4n 2 + 1 3n + 1 4n 2 - 1

3n 4n 2 - 1

2n + 1 H«$‘mJV

(A)

3n 4n 2 + 1

(B)

2n + 1 4n 2 + 1

(C)

3n + 1 4n 2 - 1

(D)

3n 4n 2 - 1

àmH¥$V g§»¶mAm| ‘| go ¶{X VrZ g§»¶mAm| H$mo ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo BZHo$ A.P. ‘| hmoZo H$s àm{¶H$Vm ³¶m hmoJr-

(C)

034.

If the two finite sets X and Y have m and n elements respectively and the total number of subsets of X is 56 more than the total number of subsets of Y, then the values of m and n respectively are

034.

¶{X Xmo n[a{‘V g‘wÀM¶ X VWm Y H«$‘e: m VWm n Ad¶d aIVo h¢ Am¡a X Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m, Y Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m go 56 A{YH$ h¡ Vmo m VWm n Ho$ ‘mZ H«$‘e: h¢-

(A) 7, 6

(B) 5, 1

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

(C) 6, 3

(D) 7, 8

035.

035.

¶{X f (x) = x3 ‘mZ h¡-

(A) 2x3

1 1 If f (x) = x3 - 3 , then f (x) + f ` j is x x equal to 2 (A) 2x3 (B) 3 x (C) 1 (D) 0

(C) 1

036.

The

036.

’$bZ

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D)

domain of 1 is f (x) = x x

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D)

033.

(D) None of the options

4 - DB ]

the

function

[ 10 ]

f (x) =

1 , x3

Vmo

1 f (x) + f ` j x

H$m

2 x3 (D) 0

(B)

1 x- x

H$m àmÝV h¡

BZ‘| go H$moB© {dH$ën Zht

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037.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

If sin θ and cos θ are roots of the equation ax 2 - bx + c = 0 , then a, b and c satisfy

037.

¶{X g‘rH$aU ax2 - bx + c = 0 Ho$ ‘yb sin θ VWm cos θ h¢ Vmo a, b VWm c {ZåZ gå~ÝY H$mo g§VwîQ> H$aVo h¢-

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

038.

cos

(A)

1 (C) - 16

the relation

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

038.

The value of cos is

r 2r 4r 8r cos cos cos 5 5 5 5

1 16

(B)

1 8

r 2r 4r 8r cos cos cos 5 5 5 5 1 16

(B)

H$m ‘mZ h¡

1 8

(A)

1 (C) - 16

039.

The minimum value of 3cosθ + 4sinθ + 8

039.

ì¶§OH$ 3cosθ + 4sinθ + 8 H$m Ý¶yZV‘ ‘mZ h¡-

is

(A) 3

(B) 9

(C) 7

(D) 5

z+2-i - z-2+i =0

1 (D) 8

(A) 3

(B) 9

(C) 7

(D) 5

040.

The equation z + 2 - i - z - 2 + i = 0 represents

040.

g‘rH$aU h¡-

(A) straight lines

(A)

gab aoImE±

(B) ellipse

(B)

XrK©d¥Îm

(C) parabola

(C)

nadb¶

(D) hyperbola

(D)

A{Vnadb¶

4 - DB ]

[ 11 ]

1 (D) 8

Xem©Vm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

041.

The smallest positive integer n for which ^1 + ih2n = ^1 - ih2n is

(A) 4

(B) 8

(C) 2

(D) 16

042.

041.

gå~ÝY ^1 + ih2n = ^1 - ih2n Ho$ {bE g~go N>moQ>m YZmË‘H$ nyUmªH$ n hmoJm-

(A) 4

(B) 8

(C) 2

(D) 16

If α, β and γ are the roots of the equation x3 - 3x 2 + 3x + 7 = 0 and ω is the cubic root of unity, then the value of a-1 + b-1 + c-1 is b-1 c-1 a-1 3 (A) (B) ~2 ~ (C) 2 ~2 (D) 3 ~2

042.

¶{X g‘rH$aU x3 - 3x2 + 3x + 7 = 0 Ho$ ‘yb α, β VWm γ h¡ VWm BH$mB© H$m KZ‘yb ω h¡ Vmo

043.

a-1 + b-1 + c-1 H$m b-1 c-1 a-1 3 (A) (B) ~2 ~

(C) 2 ~2

The third term of a G.P. is 4, then the product of its first five terms is

043.

¶{X EH$ G.P. H$m Vrgam nX 4 h¡ Vmo BgHo$ nhbo nm±M nXm| H$m JwUZ’$b hmoJm

(A) 45

(A) 45

(B) 54

(B) 54

(C) 44

(C) 44

(D) None of the options

(D)

044.

044.

{dñVma

(A) 35344

(B) 25344

The coefficient of x11 in the expansion of 2 12 c x3 - 2 m is x (A) 35344 (B) 25344

(C) –25344

(D) –35344

(C) –25344

045.

The middle term(s) in the expansion of 9 p c + x m is x p 126p 126x (A) (B) x p 126x 126 (C) (D) p p2

045.

c

(A)

4 - DB ]

‘mZ h¡-

(D) 3 ~2

BZ‘o go H$moB© {dH$ën Zht c x3 -

2 12 m x2

‘| x11 H$m JwUm§H$ h¡-

(D) –35344

[ 12 ]

9 p + xm x p

Ho$ {dñVma ‘o ‘Ü¶ nX h¡-

126x p 126x (C) p2

126p x 126 (D) p (B)

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

046.

If the coefficients of 2nd, 3rd and 4th terms in the expansion of ^1 + xhn are in A.P., the values of n is -

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

047.

^1 + xhn

046.

Ho$ {dñVma ‘o 2nd, 3rd VWm 4th nXm| Ho$ JwUm§H$ A.P. ‘| h¡ Vmo n Ho$ ‘mZ h¢-

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

The two lines ax + by = c and al x + bl y = cl are perpendicular to each other then

047.

¶{X Xmo aoImE± ax + by = c VWm al x + bl y = cl nañna EH$ Xÿgao Ho$ bå~dV h¢ Vmo

(A) aal + bbl = 0 (B) al b + abl = 0

(A) aal + bbl = 0 (B) al b + abl = 0

(C) al b + abl = 1 (D) abl + al bl = - 1

(C) al b + abl = 1 (D) abl + al bl = - 1

048.

The area of triangle formed by the lines joining the vertex of the parabola x2 = 12y to the extremities of the latus rectum (of the parabola) is

048.

nadb¶ x2 = 12y Ho$ erf© VWm nadb¶ Ho$ Zm{^bå~ Ho$ {gam| {~ÝXþAm| H$mo Omo‹S>Zodmbr aoImAm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A) 12

(A) 12

(B) 16

(B) 16

(C) 24

(C) 24

(D) None of the options

(D)

049.

If two vectors a = 2it - tj + 2kt and b = 3it + mtj + kt are perpendicular then the value of λ is

049.

¶{X

(A) 8

(B) 4

(A) 8

(B) 4

(C) 6

(D) 2

(C) 6

(D) 2

050.

If for vectors a and b , a = 8, b = 3 and a # b = 12 , then value of a $ b is

050.

¶{X g{Xe a VWm b , Ho$ {bE a = 8, b = 3 VWm a # b = 12 , hmo Vmo a $ b H$m ‘mZ hmoJm

(A) 6 3

(A) 6 3

(B) 8 3

(B) 8 3

(C) 12 3

(C) 12 3

(D) None of the options

(D)

4 - DB ]

BZ‘| go H$moB© {dH$ën Zht Xmo

g{Xe

b = 3it + mtj + kt

a = 2it - tj + 2kt

bå~dV h¢ Vmo

λ

VWm H$m ‘mZ

hmoJm-

[ 13 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

051.

What does RCC stand for

051.

Ama.gr.gr. H$m ³¶m VmËn¶© h¡?

(A) Regular Cement Concrete

(A)

aoJwba gr‘|Q> H§$H«$sQ>

(B) Reinforced Cement Concrete

(B)

[aB§’$mog©S> gr‘|Q> H§$H«$sQ>

(C) Reinforced Concrete Composite

(C)

[aB§’$mog©S> H§$H«$sQ> H$ånmo{OQ>

(D) Regular Class Concrete

(D)

aoJwba ³bmg H§$H«$sQ>

052.

What does COA stand for

052.

gr.Amo.Eo. H$m ³¶m VmËn¶© h¡?

(A) Category of Associates

(A)

Ho$Q>oJar Am°’$ Egmo{gEQ²>g

(B) Class of Architects

(B)

³bmg Am°’$ Am{H©$Q>o³Q²>g

(C) Council of Architecture

(C)

H$m¢{gb Am°’$ Am{H©$Q>o³Ma

(D) Committee of Architects

(D)

H${‘Q>r Am°’$ Am{H©$Q>o³Q²>g

053.

What does NBC stand for

053.

E°Z.~r.gr. H$m ³¶m VmËn¶© h¡?

(A) National Building Code

(A)

Z¡eZb {~pëS>¨J H$moS>

(B) New Building Certificate

(B)

Ý¶y {~pëS>¨J g{Q>©{’$Ho$Q>

(C) National Building Committee

(C)

ZoeZb {~pëS>¨J H°${‘Q>r

(D) National Bar Council

(D)

Z¡eZb ~ma H$m¢{gb

054.

Who is the Architect of Guggenheim

054.

JJZh¢‘ å¶w{g¶‘, {~ë~mAmo, ñnoZ H$m dmñVw{dY H$m¡Z h¡?

(A)

’«¢$H$ bm°B©S> amBQ>

(B)

S>o{Z¶b boq~pñH$ÊS>

(C)

’«¢$H$ Koar

(D)

{’${bn Om|gZ

Museum in Bilbao Spain?

(A) Frank Loyd Wright

(B) Deniel Lebinskind

(C) Frank Ghery

(D) Philip Johnson

4 - DB ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

055.

Which Architect adopted the phrase 'LESS IS MORE' in architecture?

055.

(A) Norman Foster

(B) Walter Gropius

dm³¶m§e "bog Bg ‘moa' H$mo {H$g dmñVw{dY Zo AnZm¶m? (A) Zm‘©Z ’$moñQ>a

(C) Charles Corea

(B)

dmëQ>a J«wnr¶g

(D) Meis Van Der Rohe

(C)

Mmëg© H$mo[a¶m

(D)

‘rg doZ S>a amoho

056.

Where is Mehrangarh fort located?

056.

(A) Jaipur

(B) Jodhpur

‘ohamZJ‹T> {H$bm H$hm± pñWV h¡?

(C) Agra

(D) Gwalior

(A)

O¶nwa

(B)

OmoYnwa

(C)

AmJam

(D)

½dm{b¶a

057.

Which award architecture?

is

057.

H$m¡Z gm nwañH$ma dmñVwH$bm go gå~pÝYV h¡?

(A) Booker Prize

(A)

~wH$a àmBµO

(B) Jnanpith Award

(B)

kmZnrR> AdmS>©

(C) Aga Khan Award

(C)

AmJm ImZ AdmS>©

(D) Pulitzer Prize

(D)

nw{bËµOa àmBµO

058.

Which city is called 'Silicon Valley of India'?

058.

(A) Mumbai

(B) Pune

H$m¡Z go eha "^maV H$s {g{bH$m°Z d¡br' Ho$ Zm‘ go OmZm OmVm h¡? (A) ‘wå~B© (B) nwUo

(C) Bengaluru

(D) Kolkata

(C)

059.

Which city is called 'City of Seven Islands'?

059.

(A) Mumbai

(B) Chandigarh

H$m¡Z go eha "gmV {Ûnm| H$m eha' H$hm OmVm h¢?

(C) Bengaluru

(D) Kolkata

(A)

‘wå~B©

(B)

M§S>rJ‹T>

(C)

~|Jbwé

(D)

H$mobH$mVm

4 - DB ]

associated

with

[ 15 ]

~|Jbwé

(D)

H$mobH$mVm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

060.

Amongst the following, who is an Indian Architect?

(A) Edwin Lutyens

(B) Le Corbusier

(C) Charles Correa

(D) Zaha Hadid

061.

Which of the following buildings in majorly made in exposed brick work?

061.

(A) Raj Bhawan, New Delhi

(B) IIM, Ahmedabad

(C) IIT Kanpur

(D) Victoria Terminus, Mumbai

062.

What can Jantar Mantar do?

062.

(A) Measure the temperature

(B) Predict Rainfall

(C) Measure the time of the day

(D) None of the options

063.

Where are Ajanta & Ellora caves located?

063.

(A) Maharashtra

(B) Madhya Pradesh

(C) Karnataka

(D) Rajasthan

064.

Humayun's Tomb is majorly made of:

064.

(A) Red Marble Stone

(B) Red Sand Stone

(C) Laterite Stone

hþ‘m¶y± H$m ‘H$~am ‘w»¶V¶m {H$ggo {Z{‘©V h¡? (A) bmb g§J‘a‘a (B) bmb ~bwAm nËWa (C) boQ´>mB©Q> nËWa

(D) White Marble

(D)

4 - DB ]

060.

[ 16 ]

{ZåZ ‘| go H$m¡Z go dmñVw{dY ^maVr¶ h¢? (A) ES>{dZ bwQ>çoÝg (B) br H$m~w©{g¶a (C) Mmëg© H$mo[a¶m (D) Omhm hXrX

{ZåZ ‘| go H$m¡Z gm ^dZ ‘w»¶V¶m E³gnmoÁS> BªQ> go {Z{‘©V h¡? (A) amO ^dZ, ZB© {Xëbr (B) AmB©.AmB©.E‘., Ah‘Xm~mX (C) AmB©.AmB©.Q>r., H$mZnwa (D) {d³Q>mo[a¶m Q>{‘©Zg, ‘wå~B© O§Va ‘§Va ³¶m Xem©Vm h¡? (A) Vmn‘mZ (B) dfm© H$m AZw‘mZ (C) {XZ H$m g‘¶ (D) BZ‘| go H$moB© {dH$ën Zht AO§Vm Ebmoam H$s Jw’$m H$hm± pñWV h¡? (A) ‘hmamîQ´> (B) ‘Ü¶àXoe (C) H$Zm©Q>H$ (D) amOñWmZ

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

065.

Indicate the correct top view of the image?

065.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

066.

Indicate the correct top view of the image?

066.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(B)

(C)

(D)

(A)

(B)

(C)

(D)

4 - DB ]

[ 17 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

067.

Indicate the correct top view of the image?

067.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(C)

(B)

(C)

(D)

(D)

068.

Indicate the correct top view of the image?

068.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DB ]

[ 18 ]

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069.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Indicate the correct top view of the image?

(A)

(A)

(B)

(B)

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

069.

(C)

(C)

(D)

(D)

070.

Which of the figures can be used to continue the series?

070.

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

?

(A)

(B)

?

(A)

(B)

(C)

(D)

(C)

(D)

4 - DB ]

[ 19 ]

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071.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which of the figures can be used to continue the series?

?

(A)

(B)

(C)

(D)

072.

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)

Select the figure which is odd one out

072.

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

(A)

(B)

(A)

(C)

(D)

(C)

073.

Select the figure which is odd one out

073.

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

(B)

(D)

(A)

(B)

(C)

(D)

4 - DB ]

(A)

(B)

(C)

(D)

[ 20 ]

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074.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

074.

Select a suitable figure to complete the figure matrix

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

075.

Select a suitable figure to complete the figure matrix

075.

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

{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 - DB ]

(A)

(B)

(C)

(D)

[ 21 ]

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076.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

076.

(A)

(B)

(C)

(D)

077.

Select a suitable figure to complete the figure matrix

(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&

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

(A)

(A)

(B)

(C)

(D)

4 - DB ]

(B)

(C)

(D)

[ 22 ]

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078.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

078.

(A)

(B) (C)

(A)

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

(B)

(C)

(D)

079.

What is the minimum number of straight lines that is needed to construct the figure?

(A) 11

(B) 13

(C) 15

(D) 21

080.

Count the number of squares in the following figure.

(D)

079.

ZrMo {XE JE {MÌ H$mo ~ZmZo ‘| H$‘ go H$‘ {H$VZr grYr aoIm H$s Amdí¶H$Vm hmoJr?

(A) 11

(B) 13

(C) 15

(D) 21

080.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 7

(B) 8

(C) 9

(D) 11

4 - DB ]

(A) 7

(B) 8

(C) 9

(D) 11

[ 23 ]

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081.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Count the number of squares in the following figure.

(A) 13

(B) 16

(C) 19

(D) 20

082.

What is the minimum number of different colours required to paint the given figure such that no two adjacent regions have the same colour?

081.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 13

(B) 16

(C) 19

(D) 20

082.

Xmo Amg nmg Ho$ joÌ ‘| EH$ a§J Zm aIVo hþE, Bg {MÌ H$mo H$‘ go H$‘ {H$VZo a§Jm| ‘| a§J gH$Vo h¢?

(A) 3

(B) 4

(C) 5

(D) 2

083.

Count the number of parallelogram in the given figure

(A) 3

(B) 4

(C) 5

(D) 2

083.

Bg {MÌ ‘| {H$VZo g‘mZm§Va h¢?

(A) 8

(B) 11

(C) 12

(D) 15

4 - DB ]

(A) 8

(B) 11

(C) 12

(D) 15

[ 24 ]

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084.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

084.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(A)

(B)

(C)

(D)

(C)

(D)

085.

Which cube CANNOT be made based on the unfolded cube?

085.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DB ]

[ 25 ]

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086.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

086.

(A)

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(C)

(B)

(C)

(D)

(D)

087.

Identify the logo

087.

bmoJmo H$mo nhMmZo

(A) Mahindra

(A)

‘qhÐm

(B) Mc donalds

(B)

‘¡H$ S>m°ZëS²>g

(C) Master chef

(C)

‘mñQ>a eo’$

(D) Mateo

(D)

‘Vo¶mo

4 - DB ]

[ 26 ]

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088.

Identify the logo

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

088.

bmoJmo H$mo nhMmZo

(A) Wikipedia

(A)

{d{H$nr{S>¶m

(B) Volkswagen

(B)

dm°³gd¡JZ

(C) Wordpress

(C)

dS>©àog

(D) Microsoft word

(D)

‘mBH«$mogm°âQ> dS>©

089.

Identify the logo

089.

bmoJmo H$mo nhMmZo

(A) Aditya Birla Group

(B) Airbus

(C) Ground Globe

(D) World Wide Web

090.

Identify the logo

(A)

Am{XË¶ {~abm J«wn

(B)

E¶a~g

(C)

J«mC§S> ½bmo~

(D)

dëS>© dmBS> do~

090.

bmoJmo H$mo nhMmZo

(A)

(B)

Amob§{n³g bmS>© Am°’$ X [a¨½g

(C) Master card

(C)

‘mñQ>a H$mS>©

(D) Audi

(D)

Am°S>r

(A) Olympics

(B) Lord of the rings

4 - DB ]

[ 27 ]

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091.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Identify the logo

091.

bmoJmo H$mo nhMmZo

(A) Blackberry

(A)

ãb¡H$~oar

(B) Bosch

(B)

~m°e

(C) Bhim App

(C)

^r‘ Eon

(D) Bentley

(D)

~|Q>bo

092.

Recognize the building from its silhouette.

092.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Twin Tower, WTC, New York

(A)

{Q‰>Z Q>mda, S>ãby, Q>r.gr. Ý¶y ¶m°H©$

(B) Petronas Tower, Malaysia

(B)

noQ´>moZg Q>mdg©, ‘bo{e¶m

(C) CN Tower, Tokyo

(C)

gr BZ Q>mda, Q>mo³¶mo

(D) CCTV Headquarters, Beijing

(D)

go go Q>r {d hoS> µH$dQ>g©, ~rqOJ

093.

Recognize the building from its silhouette.

093.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Lotus Temple, New Delhi

(A)

bmoQ>g Q>oånb, Z¶r {Xëbr

(B) Opera House, Sydney

(B)

Amonoam hmCg, {gS>Zr

(C) Hagia Sophia, Istanbul

(C)

hm{J¶m gmo{‹’$¶m, BñVm§~wb

(D) Jewish Museum, Berlin

(D)

Á¶yBe å¶w{g¶‘, ~{b©Z

4 - DB ]

[ 28 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

094.

Recognize the building from its silhouette.

094.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Gateway of India, Mumbai

(A)

JoQ>do Am°‹’$ B§{S>¶m, ‘wå~B©

(B) Arc De Triomphe, Paris

(B)

AH©$ S>r {Q´>Amon, no[ag

(C) India Gate, New Delhi

(C)

B§{S>¶m JoQ>, Z¶r {Xëbr >

(D) Buland Darwaza, Fatehpur Sikri

(D)

~wb§X XadmOm, ’$Vohnwa grH$ar

095.

Recognize the building from its silhouette.

095.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Burj Al Arab, Dubai

(A)

~wO© Ab Aa~, Xþ~B©

(B) Burj Khalifa, Dubai

(B)

~wO© Ibr’$m, Xþ~B©

(C) St. Mary Axe, London

(C)

g§V. ‘¡ar A³g, bÝXZ

(D) Chrysler Building, New York

(D)

{H«$gba {~pëS>¨J, Ý¶y ¶m°H©$

096.

What does DPC stand for

096.

S>r.nr.gr. H$m ³¶m VmËn¶© h¡?

(A) Damp Proof Cement

(A)

S>¡ån ày’$ gr‘|Q>

(B) Damp Proof Certificate

(B)

S>¡ån ày’$ g{Q>©{’$Ho$Q>

(C) Detail Plan Certificate

(C)

{S>Q>ob ßbmZ g{Q>©{’$Ho$Q>

(D) Damp Proof Course

(D)

S>¡ån ày’$ H$mog©

4 - DB ]

[ 29 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

097.

Which is the tallest building in the world?

097.

{dœ H$s g~go D±$Mr B©‘maV H$m¡Z gr h¡?

(A) Shanghai Towers

(A)

e§KmB© Q>mdg©

(B) One World Trade Centre

(B)

dZ dëS>© Q´>oS> g|Q>a

(C) Burj Khalifa

(D) Petronas Tower

(C)

~wO© Ibr’$m

(D)

noQ´>moZmg Q>mdg©

098.

Which of the following is the most

098.

{ZåZ ‘| go H$m¡Z gr gVh g~go namdV©H$ h¡?

reflective Surface?

(A)

³bo Q>mBb

(B)

{gao{‘H$ Q>mBb

(C)

H§$H«$sQ> Q>mBb

(D)

dwS>oZ Q>mBb

099.

{H$gr g^mJ¥h Ho$ {bE, {ZåZ ‘| go H$m¡Z go nXmW© H$s AÀN>o ldU JwU Ho$ {bE g§ñVw{V H$s OmVr h¡?

(A)

dwS> n¡ZoqbJ

(B)

{d{Q´>’$mB©S> Q>mBëg

(C)

E³gnmoÁS> {~«H$

(D)

‘oQ>b erQ>

(A) Clay tile

(B) Ceramic tile

(C) Concrete tile

(D) Wooden tile

099.

Which of the following material is recommended for better acoustic quality of a hall?

(A) Wood Panelling

(B) Vitrified Tiles

(C) Exposed Bricks

(D) Metal sheet

100.

Which are the primary colors?

100.

H$m¡Z go àmB‘ar a§J h¢?

(A) Red, Yellow, Green

(A)

bmb, nrbm, ham

(B) Red, Yellow, Blue

(B)

bmb, nrbm, Zrbm

(C) Green, Orange, Blue

(C)

ham, Zma§Jr, Zrbm,

(D) Red, Orange, Blue

(D)

bmb, Zma§Jr, Zrbm

4 - DB ]

[ 30 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

4 - DB ]

[ 31 ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

4 - DB ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

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

PAPER-4 AZwH«$‘m§H$ /

Roll No.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H«$‘m§H$

DC

Question Booklet Sr. No.

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$ÝÐmÜ¶j H$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 {ZË¶ 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 No. of Pages in Booklet including title

PAPER-4 AZwH«$‘m§H$ /

32

Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

g‘¶ 2.30 K§Q>o Time 2.30 Hours

àíZnwpñVH$m H«$‘m§H$/

A§H$ / Marks 500

nwpñVH$m ‘| àíZm| H$s g§»¶m No. of Questions in Booklet

100 Questions & Drawing Sheet

Question Booklet Sr. No.

Roll No.

H$j {ZarjH$ Ho$ hñVmja

/Signature of the Invigilator àíZnwpñVH$m H$moS>

DC

narjmWu H$m Zm‘/

Name of Candidate :

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

Aä¶{W©¶m| hoVw Amdí¶H$ {ZX}e :

Q. Booklet Code

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|& 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$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& 3. àË¶oH$ 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$mQ>m OmEJm& 4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 5. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X H$m à¶moJ d{O©V h¡& 6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr Om¶oJr& 7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m AÝ¶ {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$Vm h¡& 8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ ‘mZm Om¶oJm& 9. OMR sheet Bg Paper Ho$ ^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&

1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet. 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. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer. 5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Candidate will be allowed to leave the examination hall at the end of examination time period only. 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. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 9. 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.

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

PAPER-4

Aptitude Test for Architecture Mathematics & Aesthetic Sensitivity Drawing Aptitude

– Part A : – Part B :

PART-A / ^mJ-A MATHEMATICS & AESTHETIC SENSITIVITY /

Q. 1 to 100 Q. 1 & 2

J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r

e3x - 1 is tan x (A) 1

(B) 3

(C) 1/3

(D) None of the options

002.

b If the function f (x) = x 2 + has a local x minimum at x = 2, the b is equal to

002.

’$bZ

(A) 4

(B) 8

(A) 4

(B) 8

(C) 12

(D) 16

(C) 12

(D) 16

001.

lim x"0

4 - DC ]

e3x - 1 tan x

001.

lim x"0

(A) 1

(B) 3

(C) 1/3

(D)

[ 2 ]

H$m ‘mZ hmoJm-

BZ‘| go H$moB© {dH$ën Zht f (x) = x 2 +

b x

H$m ñWmZr¶ {ZpåZîQ> x = 2 na h¡ Vmo b H$m ‘mZ h¡-

[ Contd...

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003.

If

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

# ^ x4 + x2 + 1h49 ^2x3 + xh dx =

to

003.

1 ^ 4 + 2 + h50 + x x 1 c Then a is equal a

(A) 100

(B) 50

(C) 200

(D) 400

¶{X # ^ x 4 + x2 + 1h49 ^2x3 + xh dx =

1 ^ 4 + 2 + h50 + x x 1 c Vmo a H$m a (A) 100 (B) 50

(C) 200

004.

g‘mH$b #

8

004.

The value of the integral 8

#

2

2

10 - x dx is x + 10 - x

(A) 5

(B) 10

(C) 3

(D) 8

005.

Two unbiased dice are rolled simultaneously. The probability of getting an odd number on the first die or the sum of the numbers to be 8 is

(A)

11 36

(B)

23 36

(D)

17 36 21 36

(C)

006.

A natural number x selected at random

(D) 400

10 - x dx x + 10 - x

H$m ‘mZ hmoJm

(A) 5

(B) 10

(C) 3

(D) 8

005.

Xmo {~Zm nydm©J«h dmbo nmgm| H$mo EH$ gmW bw‹T>H$m¶m OmVm h¡ nhbo nmgo na {df‘ g§»¶m nmZo H$s ¶m g§»¶mAm| H$m ¶moJ 8 hmoZo H$s àm{¶H$Vm hmoJr

(A)

11 36

(B)

17 36

(C)

23 36

(D)

21 36

006.

EH$ àmH¥$V g§»¶m x H$mo àW‘ 100 àmH¥$V g§»¶mAm| ‘| go ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo x + 100 > 50 H$s àm{¶H$Vm hmoJrx

from first 100 natural numbers. The 100 probability that x + > 50 is x

(A)

3 50

(B)

41 50

(A)

3 50

(B)

41 50

(C)

11 20

(D)

17 20

(C)

11 20

(D)

17 20

4 - DC ]

‘mZ hmoJm

[ 3 ]

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007.

008.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Two fair dice are rolled simultaneously. The probability that the sum of numbers (appear on the faces of both dice) is 7 or 11 is 1 2 (A) (B) 9 9 7 4 (C) (D) 9 9

007.

Xmo ghr nmgm| H$mo EH$ gmW bwT>H$m¶o OmVo h¢ Vmo XmoZm| nmgm| Ho$ ’$bH$m| na àH$Q> g§»¶mAm| Ho$ Omo‹S> 7 ¶m 11 hmoZo H$s àm{¶H$Vm hmoJr-

(A)

The unit vector perpendicular to both of the vectors a = 2it - 3tj + 5kt, b =- it + 4tj + 2kt is

008.

1 9 7 (C) 9

2 9 4 (D) 9 (B)

g{Xem|

a = 2it - 3tj + 5kt,

b =- it + 4tj + 2kt

Ho$ bå~dV BH$mB© g{Xe

XmoZm| hmoJm-

(A)

- 26it - 9tj + 5kt 782

(A)

- 26it - 9tj + 5kt 782

(B)

26it + 9tj - 10kt 782

(B)

26it + 9tj - 10kt 782

(C)

26it - 10tj + 5kt 782

(C)

26it - 10tj + 5kt 782

(D)

62it + 9tj - 5kt 782

(D)

62it + 9tj - 5kt 782

009.

Out of 2n + 1 consecutive natural number if three number are selected at random, the probability that they are in A.P. is 2n + 1 3n (A) (B) 2 4n + 1 4n 2 + 1

009.

2n + 1 H«$‘mJV

(A)

3n 4n 2 + 1

(B)

2n + 1 4n 2 + 1

(C)

3n + 1 4n 2 - 1

(D)

3n 4n 2 - 1

010.

¶{X Xmo n[a{‘V g‘wÀM¶ X VWm Y H«$‘e: m VWm n Ad¶d aIVo h¢ Am¡a X Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m, Y Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m go 56 A{YH$ h¡ Vmo m VWm n Ho$ ‘mZ H«$‘e: h¢-

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

3n + 1 4n 2 - 1

(C)

010.

If the two finite sets X and Y have m and n elements respectively and the total number of subsets of X is 56 more than the total number of subsets of Y, then the values of m and n respectively are

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

4 - DC ]

(D)

3n 4n 2 - 1

[ 4 ]

àmH¥$V g§»¶mAm| ‘| go ¶{X VrZ g§»¶mAm| H$mo ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo BZHo$ A.P. ‘| hmoZo H$s àm{¶H$Vm ³¶m hmoJr-

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

1 , x3

1 f (x) + f ` j x

011.

¶{X f (x) = x3 ‘mZ h¡-

(A) 2x3

1 1 If f (x) = x3 - 3 , then f (x) + f ` j is x x equal to 2 (A) 2x3 (B) 3 x (C) 1 (D) 0

(C) 1

012.

The

012.

’$bZ

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D)

013.

¶{X g‘rH$aU ax2 - bx + c = 0 Ho$ ‘yb sin θ VWm cos θ h¢ Vmo a, b VWm c {ZåZ gå~ÝY H$mo g§VwîQ> H$aVo h¢-

011.

domain of 1 is f (x) = x- x

the

function

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D) None of the options

013.

If sin θ and cos θ are roots of the equation ax 2 - bx + c = 0 , then a, b and c satisfy the relation

f (x) =

Vmo

2 x3 (D) 0

(B)

1 x- x

H$m àmÝV h¡

BZ‘| go H$moB© {dH$ën Zht

(A) a 2 + 2ac - b = 0

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

(D) a 2 + b 2 + 2bc = 0

014.

The value of cos

014.

cos

(A)

1 (C) - 16

is 1 16

(A)

1 (C) - 16

4 - DC ]

r 2r 4r 8r cos cos cos 5 5 5 5 (B)

1 8

1 (D) 8

[ 5 ]

H$m

2r 4r 8r r cos cos cos 5 5 5 5 1 16

(B)

H$m ‘mZ h¡

1 8

1 (D) 8

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015.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The minimum value of 3cosθ + 4sinθ + 8 is

015.

ì¶§OH$ 3cosθ + 4sinθ + 8 H$m Ý¶yZV‘ ‘mZ h¡-

(A) 3

(B) 9

(C) 7

(D) 5

z+2-i - z-2+i =0

(A) 3

(B) 9

(C) 7

(D) 5

016.

The equation z + 2 - i - z - 2 + i = 0 represents

016.

g‘rH$aU h¡-

(A) straight lines

(A)

gab aoImE±

(B) ellipse

(B)

XrK©d¥Îm

(C) parabola

(C)

nadb¶

(D) hyperbola

(D)

A{Vnadb¶

017.

The smallest positive integer n for which ^1 + ih2n = ^1 - ih2n is

017.

gå~ÝY ^1 + ih2n = ^1 - ih2n Ho$ {bE g~go N>moQ>m YZmË‘H$ nyUmªH$ n hmoJm-

(A) 4

(B) 8

(A) 4

(B) 8

(C) 2

(D) 16

(C) 2

(D) 16

018.

If α, β and γ are the roots of the equation x3 - 3x 2 + 3x + 7 = 0 and ω is the cubic root of unity, then the value of a-1 + b-1 + c-1 is b-1 c-1 a-1 3 (A) (B) ~2 ~ (C) 2 ~2 (D) 3 ~2

018.

¶{X g‘rH$aU x3 - 3x2 + 3x + 7 = 0 Ho$ ‘yb α, β VWm γ h¡ VWm BH$mB© H$m KZ‘yb ω h¡ Vmo

019.

Xem©Vm

a-1 + b-1 + c-1 H$m b-1 c-1 a-1 3 (A) (B) ~2 ~

(C) 2 ~2

The third term of a G.P. is 4, then the product of its first five terms is

019.

(A) 45

¶{X EH$ G.P. H$m Vrgam nX 4 h¡ Vmo BgHo$ nhbo nm±M nXm| H$m JwUZ’$b hmoJm

(A) 45

(B) 54

(B) 54

(C) 44

(C) 44

(D) None of the options

(D)

4 - DC ]

[ 6 ]

‘mZ h¡-

(D) 3 ~2

BZ‘o go H$moB© {dH$ën Zht [ Contd...

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The coefficient of x11 in the expansion of 2 12 c x3 - 2 m is x (A) 35344 (B) 25344

(C) –25344

021.

The middle term(s) in the expansion of 9 p c + x m is x p 126p 126x (A) (B) x p 126x 126 (C) (D) 2 p p

021.

c

(A)

If the coefficients of 2nd, 3rd and 4th terms in the expansion of ^1 + xhn are in A.P., the values of n is -

022.

Ho$ {dñVma ‘o 2nd, 3rd VWm 4th nXm| Ho$ JwUm§H$ A.P. ‘| h¡ Vmo n Ho$ ‘mZ h¢-

(A) 5, 8

(B) (4, 9)

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

(C) 2, 7

(D) 3, 8

023.

The two lines ax + by = c and al x + bl y = cl are perpendicular to each other then

023.

¶{X Xmo aoImE± ax + by = c VWm al x + bl y = cl nañna EH$ Xÿgao Ho$ bå~dV h¢ Vmo

(A) aal + bbl = 0 (B) al b + abl = 0

(A) aal + bbl = 0 (B) al b + abl = 0

(C) al b + abl = 1 (D) abl + al bl = - 1

(C) al b + abl = 1 (D) abl + al bl = - 1

024.

The area of triangle formed by the lines joining the vertex of the parabola x2 = 12y to the extremities of the latus rectum (of the parabola) is

024.

nadb¶ x2 = 12y Ho$ erf© VWm nadb¶ Ho$ Zm{^bå~ Ho$ {gam| {~ÝXþAm| H$mo Omo‹S>Zodmbr aoImAm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A) 12

(A) 12

(B) 16

(B) 16

(C) 24

(C) 24

(D) None of the options

(D)

020.

022.

4 - DC ]

(D) –35344

c x3 -

2 12 m x2

‘| x11 H$m JwUm§H$ h¡-

020.

{dñVma

(A) 35344

(B) 25344

(C) –25344

(D) –35344

[ 7 ]

9 p + xm x p

Ho$ {dñVma ‘o ‘Ü¶ nX h¡-

126x p 126x (C) p2

126p x 126 (D) p (B)

^1 + xhn

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

a = 2it - tj + 2kt

If two vectors a = 2it - tj + 2kt and b = 3it + mtj + kt are perpendicular then the value of λ is

025.

(A) 8

(B) 4

(A) 8

(B) 4

(C) 6

(D) 2

(C) 6

(D) 2

026.

If for vectors a and b , a = 8, b = 3 and a # b = 12 , then value of a $ b is

026.

¶{X g{Xe a VWm b , Ho$ {bE a = 8, b = 3 VWm a # b = 12 , hmo Vmo a $ b H$m ‘mZ hmoJm

(A) 6 3

(A) 6 3

(B) 8 3

(B) 8 3

(C) 12 3

(C) 12 3

(D) None of the options

(D)

BZ‘| go H$moB© {dH$ën Zht

027.

If

027.

¶{X

a, b, c

a , b , c are unit vectors such that a + b + c = 0 , then the value of a .b + b .c + c .a is

(A) 1

(A) 1

(B) 3

(B) 3

025.

3 (C) 2 (D) None of the options 2

2

¶{X

Xmo

g{Xe

b = 3it + mtj + kt

bå~dV h¢ Vmo

λ

hmoJm-

a+b+c

Bg àH$ma BH$mB© g{Xe h¡ {H$ = 0 V~ a .b + b .c + c .a H$m

‘mZ hmoJm-

3 (C) 2 (D) BZ‘|

go H$moB© {dH$ën Zht

028.

If ^a # b h + ^a $ b h = 144 and a = 4 , then b is equal to

028.

¶{X ^a # b h2 + ^a $ b h2 = 144 VWm Vmo b H$m ‘mZ hmoJm-

(A) 16

(A) 16

(B) 8

(B) 8

(C) 3

(C) 3

(D) None of the options

(D)

4 - DC ]

VWm H$m ‘mZ

[ 8 ]

a =4

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

029.

The length of the latus rectum of the ellipse 3x 2 + y 2 = 12 is

029.

(A) 4

XrK©d¥Îm 3x2 + y2 = 12 Ho$ Zm{^bå~ H$s bå~mB© hmoJr

(A) 4

(B) 18

(B) 18

(C) 12

(C) 12

(D) None of the options

(D)

030.

The equation of hyperbola with eccentricity 3/2 and focii at ^! 2, 0h is

030.

Cg A{Vnadb¶ H$m g‘rH$aU ³¶m hmoJm {OgH$s CËHo$ÝÐVm 3/2 VWm Zm{^ ^! 2, 0h na h¡

(A)

2 x2 - y = 4 4 5 9

(B)

2 x2 - y = 4 9 9 9

BZ‘o go H$moB© {dH$ën Zht

2 x2 - y = 4 (A) 4 5 9

(B)

2 x2 - y = (C) 1 4 9

(C)

2 x2 - y = 1 4 9

(D)

2 x2 - y = 4 5 4 9

(D)

2 x2 - y = 4 5 4 9

031.

031.

XrK©d¥Îm

The eccentricity of an ellipse 2 x2 + y = 1 , whose latus rectum is half a2 b2 of its minor axis is

Aj H$m AmYm h¡ Vmo XrK©d¥Îm H$s CËHo$ÝÐVm ³¶m hmoJr?

(A)

1 2

(A)

1 2

(B)

2 3

(B)

2 3

(C)

3 2

(C)

3 2

(D) None of the options

(D)

4 - DC ]

2 x2 - y = 4 9 9 9

[ 9 ]

2 x2 + y = 1 a2 b2

H$m Zm{^bå~, bKw

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

2 x2 + y = 1 25 b 2

2 x2 + y = 1 and 25 b 2 2 x2 - y = 1 hyperbola coincide, 144 81 25 then the value of b 2 is

(A) 3

(B) 16

(A) 3

(B) 16

(C) 9

(D) 12

(C) 9

(D) 12

033.

The area of the parallelogram whose diagonals are and 2it + tj + 2kt 2it - 2tj + 4kt is

033.

Cg g‘mÝVa MVw^w©O H$m joÌ’$b ³¶m hmoJm {OgHo$ {dH$U© 2it + tj + 2kt VWm 2it - 2tj + 4kt h¢

(A) 8 3

(B) 4 3

(C) 10 3

(D)

034.

¶{X a + b + c = 0 , a = 3, a VWm b Ho$ ‘Ü¶ H$moU hmoJm -

(A)

r 6

(B)

2r 3

(C)

5r 3

(D)

r 3

035.

¶{X Xmo ~bm| P + Q VWm P – Q H$m n[aUm‘r P2 + Q2 h¡ Vmo CZHo$ ‘Ü¶ H$moU hmoJm-

(A) cos –1 e

2 2 1 P +Q o 2 Q2 - P2

P2 - Q2 o (B) cos –1 e 2 Q + P2

(B) cos e

P2 - Q2 o Q2 + P2

Q2 - P2 e o (C) cos Q2 + P2

(C) cos –1 e

Q2 - P2 o Q2 + P2

2 2 1 P -Q o (D) cos –1 e 2 P2 + Q2

(D) cos –1 e

2 2 1 P -Q o 2 P2 + Q2

032.

If the foci of ellipse

(A) 8 3

(B) 4 3

(C) 10 3

(D) None of the options

034.

If a + b + c = 0 , a = 3, b = 7 , then the angle between a and b is r 2r (A) (B) 6 3

5r 3

(C)

035.

The resultant of two forces P + Q and P – Q is P2 + Q2 then the angle between them is 2 2 1 P +Q o (A) cos –1 e 2 Q2 - P2

(D)

r 3

–1

4 - DC ]

032.

¶{X XrK©d¥Îm

2 x2 - y = 1 144 81 25

H$m ‘mZ hmoJm-

[ 10 ]

VWm A{Vnadb¶

Ho$ Zm{^ gånmVr h¡ Vmo b2

BZ‘| go H$moB© {dH$ën Zht

–1

b = 7,

Vmo

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036.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

If the resultant R of two vectors P and Q is 3 Q and the angle between the directions of P and R is 30°, then the P value of is Q (A) 1.5

(B) 2.5

(C) 3

(D) None of the options

037.

A bullet moving with a velocity 10m/s enters a wooden wall and becomes at rest in 1 4 second, then the retardation is (in m/s2)

037.

doJ 10m/s go J{V H$aVr hþB© EH$ Jmobr EH$ bH$‹S>r H$s Xrdma ‘o àdoe H$aVr h¡ VWm 1 4 goH$ÊS> ‘| {dam‘ ‘| AmVr h¡ Vmo ‘ÝXZ (m/s2 ‘|) hmoJm-

(A) 100 m/s2

(A) 100 m/s2

(B) 200 m/s2

(B) 200 m/s2

(C) 40 m/s2

(C) 40 m/s2

(D) 80 m/s2

(D) 80 m/s2

038.

A stone is falling freely from the top of 9 a tower and covers the part of the 25 height of the tower in the last second. Then, the height of the tower is

038.

EH$ nËWa EH$ ‘rZma Ho$ erf© go ‘wº$ ê$n go 9 ^mJ {Ja ahm h¡ VWm ‘rZma H$s D$±MmB© H$m 25 ¶h A§{V‘ goH$ÊS> ‘| V¶ H$aVm h¡ Vmo ‘rZma H$s D$±MmB© hmoJr-

(A) 122.5m

(B) 245m

(A) 122.5m

(B) 245m

(C) 100m

(D) 125m

(C) 100m

(D) 125m

039.

A particle is thrown in upward direction with a velocity 9.8m/s. The position of the particle after 2 second will be

039.

EH$ H$U H$mo D$na H$s Va’$ doJ 9.8m/s go àjo{nV {H$¶m OmVm h¡ Vmo H$U H$s 2 goH$ÊS> ~mX pñW{V hmoJr-

(A) 100m

(B) 200m

(A) 100m

(B) 200m

(C) 0

(D) 250m

(C) 0

(D) 250m

4 - DC ]

036.

¶{X Xmo g{Xem| P VWm Q H$m n[aUm‘r R H$m ‘mZ 3 Q h¡ VWm P VWm R H$s {XemAmo§ Ho$ ‘Ü¶ P H$m ‘mZ hmoJmH$moU 30° h¡ Vmo Q

(A) 1.5

(B) 2.5

(C) 3

(D)

[ 11 ]

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

040.

A man can throw a stone to the maximum distance of 196 m the maximum height attained by the stone during the flight is

040.

(A) 9.8m

(B) 49m

EH$ ì¶{º$ EH$ nËWa H$mo A{YH$V‘ 196 m Xÿar na ’|$H$ gH$Vm h¡ Vmo Bg CS²>S>¶Z Ho$ Xm¡amZ nËWa Ûmam àmßV H$s JB© A{YH$V‘ D$±MmB© hmoJr-

(A) 9.8m

(B) 49m

(C) 19.6m

(D) 98m

(C) 19.6m

(D) 98m

041.

If the coefficients of x and x2 in the expansion of ^1 + xhm ^1 - xhn are 3 and – 6 respectively, then the value of m is

041.

(A) 12

¶{X ^1 + xhm ^1 - xhn Ho$ {dñVma ‘| x VWm x2 Ho$ JwUm§H$ H«$‘e: 3 VWm – 6 h¡ Vmo m H$m ‘mZ hmoJm-

(A) 12

(B) 10

(B) 10

(C) 15

(C) 15

(D) None of the options

(D)

042.

The sum of infinite series

042.

AZÝV loUr H$m ¶moJ hmoJm-

1+

3

3

3

BZ‘| go H$moB© {dH$ën Zht

23 + 33 + 43 + ........ 2 3 4 (A) e (B) 3e

(C) 5e

043.

AZÝV loUr H$m ¶moJ hmoJm-

The sum of infinite series 1 + 1 + 1 + ....... is 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

1 + 1 + 1 + ....... 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

(C) 1+loge2

(C) 1+loge2

044.

The total number of matrices of order 3 × 3 with entries 0, 1 is

044.

H$mo{Q> 3 × 3 Ho$ gmW à{dpîQ>¶m± 0, 1 dmbr ‘o{Q´>³gmo H$s Hw$b g§»¶m hmoJr-

(A) 512

(A) 512

(B) 256

(B) 256

(C) 1024

(C) 1024

(D) None of the options

(D)

2 +3 +4 + ..... is 2 3 4 (A) e (B) 3e

(C) 5e

043.

1+

4 - DC ]

(D) 2e

(D) loge2–1

[ 12 ]

(D) 2e

(D) loge2–1

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

045.

3 7 G, the value of det (AadjA) is If A = = 11 13

(A) 4441

(B) 4414

(C) 1444

(D) 4144

046.

0 = If f (x) x + a x+b

x-a 0 x+c

(A) f (a) = 0

(C) f (c) = 0

x-b x - c , then 0

3 7 G, 13

Vmo

(A) 4441

(B) 4414

(C) 1444

(D) 4144

det (AadjA)

x-a 0 x+c

0 = f (x) x + a x+b

¶{X

(B) f (b) = 0

(A) f (a) = 0

(B) f (b) = 0

(D) f (0) = 0

(C) f (c) = 0

(D) f (0) = 0

(A) –1

(B) –2

(C) 0

(D) 3

1 2t , then t

lim t"0

f (t) is t2

cos t t = f (t) 2 sin t t sin t t

1 2t , t

047.

¶{X

‘mZ hmoJm-

(A) –1

(B) –2

(C) 0

(D) 3

Vmo

sin (r cos 2 x) H$m ‘mZ hmoJm x2 (A) π (B) 1

(D) π2

(C) – π

16 , then f l (- 8) is x

049.

¶{X

1 8

(A)

1 8

(B)

1 12

(B)

1 12

(C)

1 4

(C)

1 4

(D)

1 3

(D)

1 3

sin (r cos 2 x) is equal to x2 (A) π (B) 1

(C) – π

049.

If f (x) = 1 - x 2/3 +

(A)

048.

048.

lim x"0

4 - DC ]

[ 13 ]

H$m ‘mZ

x-b x - c , Vmo 0

046.

cos t t = If f (t) 2 sin t t sin t t equal to

047.

¶{X A = =11 hmoJm-

045.

lim t"0

f ( t) t2

H$m

lim x"0

(D) π2

f (x) = 1 - x 2/3 +

16 , Vmo f l (- 8) x

hmoJm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

050.

The area of the triangle formed by the coordinate axes and the tangent to the curve y = loge x at the point (1,0) is 1 (A) (B) 1 2 3 (C) 2 (D) 2

050.

{~ÝXþ (1,0) na dH«$ y = loge x H$s ñne© aoIm VWm {ZX}em§H$ Ajm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A)

051.

051.

Which cube CANNOT be made based on the unfolded cube?

(A)

1 2 (C) 2

(B) 1 3 (D) 2

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(C)

(D)

(B)

(C)

(D)

4 - DC ]

[ 14 ]

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052.

Identify the logo

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

052.

bmoJmo H$mo nhMmZo

(A) Mahindra

(A)

‘qhÐm

(B) Mc donalds

(B)

‘¡H$ S>m°ZëS²>g

(C) Master chef

(C)

‘mñQ>a eo’$

(D) Mateo

(D)

‘Vo¶mo

053.

Identify the logo

053.

bmoJmo H$mo nhMmZo

(A) Wikipedia

(B) Volkswagen

(C) Wordpress

(D) Microsoft word

054.

Identify the logo

(A)

{d{H$nr{S>¶m

(B)

dm°³gd¡JZ

(C)

dS>©àog

(D)

‘mBH«$mogm°âQ> dS>©

054.

bmoJmo H$mo nhMmZo

(A)

Am{XË¶ {~abm J«wn

(B) Airbus

(B)

E¶a~g

(C) Ground Globe

(C)

J«mC§S> ½bmo~

(D) World Wide Web

(D)

dëS>© dmBS> do~

(A) Aditya Birla Group

4 - DC ]

[ 15 ]

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055.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Identify the logo

055.

bmoJmo H$mo nhMmZo

(A) Olympics

(A)

(B) Lord of the rings

(B)

Amob§{n³g bmS>© Am°’$ X [a¨½g

(C) Master card

(C)

‘mñQ>a H$mS>©

(D) Audi

(D)

Am°S>r

056.

Identify the logo

056.

bmoJmo H$mo nhMmZo

(A) Blackberry

(A)

ãb¡H$~oar

(B) Bosch

(B)

~m°e

(C) Bhim App

(C)

^r‘ Eon

(D) Bentley

(D)

~|Q>bo

057.

Recognize the building from its silhouette.

057.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Twin Tower, WTC, New York

(A)

{Q‰>Z Q>mda, S>ãby, Q>r.gr. Ý¶y ¶m°H©$

(B) Petronas Tower, Malaysia

(B)

noQ´>moZg Q>mdg©, ‘bo{e¶m

(C) CN Tower, Tokyo

(C)

gr BZ Q>mda, Q>mo³¶mo

(D) CCTV Headquarters, Beijing

(D)

go go Q>r {d hoS> µH$dQ>g©, ~rqOJ

4 - DC ]

[ 16 ]

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058.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Recognize the building from its silhouette.

058.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Lotus Temple, New Delhi

(A)

bmoQ>g Q>oånb, Z¶r {Xëbr

(B) Opera House, Sydney

(B)

(C) Hagia Sophia, Istanbul

Amonoam hmCg, {gS>Zr

(D) Jewish Museum, Berlin

(C)

hm{J¶m gmo{‹’$¶m, BñVm§~wb

(D)

Á¶yBe å¶w{g¶‘, ~{b©Z

059.

Recognize the building from its silhouette.

059.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Gateway of India, Mumbai

(A)

JoQ>do Am°‹’$ B§{S>¶m, ‘wå~B©

(B) Arc De Triomphe, Paris

(B)

AH©$ S>r {Q´>Amon, no[ag

(C) India Gate, New Delhi

(C)

(D) Buland Darwaza, Fatehpur Sikri

B§{S>¶m JoQ>, Z¶r {Xëbr >

(D)

~wb§X XadmOm, ’$Vohnwa grH$ar

060.

Recognize the building from its silhouette.

060.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Burj Al Arab, Dubai

(A)

~wO© Ab Aa~, Xþ~B©

(B) Burj Khalifa, Dubai

(B)

~wO© Ibr’$m, Xþ~B©

(C) St. Mary Axe, London

(C)

g§V. ‘¡ar A³g, bÝXZ

(D) Chrysler Building, New York

(D)

{H«$gba {~pëS>¨J, Ý¶y ¶m°H©$

4 - DC ]

[ 17 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

061.

What does DPC stand for

061.

S>r.nr.gr. H$m ³¶m VmËn¶© h¡?

(A) Damp Proof Cement

(A)

S>¡ån ày’$ gr‘|Q>

(B) Damp Proof Certificate

(B)

(C) Detail Plan Certificate

S>¡ån ày’$ g{Q>©{’$Ho$Q>

(C)

(D) Damp Proof Course

{S>Q>ob ßbmZ g{Q>©{’$Ho$Q>

(D)

S>¡ån ày’$ H$mog©

062.

Which is the tallest building in the world?

062.

{dœ H$s g~go D±$Mr B©‘maV H$m¡Z gr h¡?

(A) Shanghai Towers

(A)

e§KmB© Q>mdg©

(B) One World Trade Centre

(B)

dZ dëS>© Q´>oS> g|Q>a

(C) Burj Khalifa

(C)

~wO© Ibr’$m

(D) Petronas Tower

(D)

noQ´>moZmg Q>mdg©

063.

Which of the following is the most

063.

{ZåZ ‘| go H$m¡Z gr gVh g~go namdV©H$ h¡?

reflective Surface?

(A)

³bo Q>mBb

(A) Clay tile

(B)

{gao{‘H$ Q>mBb

(B) Ceramic tile

(C)

(C) Concrete tile

H§$H«$sQ> Q>mBb

(D) Wooden tile

(D)

dwS>oZ Q>mBb

064.

Which of the following material is

064.

{H$gr g^mJ¥h Ho$ {bE, {ZåZ ‘| go H$m¡Z go nXmW© H$s AÀN>o ldU JwU Ho$ {bE g§ñVw{V H$s OmVr h¡?

(A)

dwS> n¡ZoqbJ

(B)

{d{Q´>’$mB©S> Q>mBëg

(C)

E³gnmoÁS> {~«H$

(D)

‘oQ>b erQ>

recommended for better acoustic quality of a hall?

(A) Wood Panelling

(B) Vitrified Tiles

(C) Exposed Bricks

(D) Metal sheet

4 - DC ]

[ 18 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

065.

Which are the primary colors?

065.

H$m¡Z go àmB‘ar a§J h¢?

(A) Red, Yellow, Green

(A)

bmb, nrbm, ham

(B) Red, Yellow, Blue

(B)

bmb, nrbm, Zrbm

(C) Green, Orange, Blue

(D) Red, Orange, Blue

(C)

ham, Zma§Jr, Zrbm,

(D)

bmb, Zma§Jr, Zrbm

066.

What does RCC stand for

066.

Ama.gr.gr. H$m ³¶m VmËn¶© h¡?

(A) Regular Cement Concrete

(A)

aoJwba gr‘|Q> H§$H«$sQ>

(B) Reinforced Cement Concrete

(B)

(C) Reinforced Concrete Composite

[aB§’$mog©S> gr‘|Q> H§$H«$sQ>

(C)

(D) Regular Class Concrete

[aB§’$mog©S> H§$H«$sQ> H$ånmo{OQ>

(D)

aoJwba ³bmg H§$H«$sQ>

067.

What does COA stand for

067.

(A) Category of Associates

gr.Amo.Eo. H$m ³¶m VmËn¶© h¡?

(A)

Ho$Q>oJar Am°’$ Egmo{gEQ²>g

(B) Class of Architects

(B)

(C) Council of Architecture

³bmg Am°’$ Am{H©$Q>o³Q²>g

(D) Committee of Architects

(C)

H$m¢{gb Am°’$ Am{H©$Q>o³Ma

(D)

H${‘Q>r Am°’$ Am{H©$Q>o³Q²>g

068.

What does NBC stand for

068.

E°Z.~r.gr. H$m ³¶m VmËn¶© h¡?

(A) National Building Code

(A)

Z¡eZb {~pëS>¨J H$moS>

(B) New Building Certificate

(B)

(C) National Building Committee

Ý¶y {~pëS>¨J g{Q>©{’$Ho$Q>

(C)

(D) National Bar Council

ZoeZb {~pëS>¨J H°${‘Q>r

(D)

Z¡eZb ~ma H$m¢{gb

4 - DC ]

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069.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Who is the Architect of Guggenheim

069.

JJZh¢‘ å¶w{g¶‘, {~ë~mAmo, ñnoZ H$m dmñVw{dY H$m¡Z h¡?

(A)

’«¢$H$ bm°B©S> amBQ>

(B)

S>o{Z¶b boq~pñH$ÊS>

(C)

’«¢$H$ Koar

(D)

{’${bn Om|gZ

Museum in Bilbao Spain?

(A) Frank Loyd Wright

(B) Deniel Lebinskind

(C) Frank Ghery

(D) Philip Johnson

070.

Which Architect adopted the phrase 'LESS IS MORE' in architecture?

070.

(A) Norman Foster

dm³¶m§e "bog Bg ‘moa' H$mo {H$g dmñVw{dY Zo AnZm¶m? (A) Zm‘©Z ’$moñQ>a

(B) Walter Gropius

(B)

dmëQ>a J«wnr¶g

(C) Charles Corea

(C)

(D) Meis Van Der Rohe

Mmëg© H$mo[a¶m

(D)

‘rg doZ S>a amoho

071.

Where is Mehrangarh fort located?

071.

‘ohamZJ‹T> {H$bm H$hm± pñWV h¡?

(A) Jaipur

(B) Jodhpur

(A)

O¶nwa

(B)

OmoYnwa

(C) Agra

(D) Gwalior

(C)

AmJam

(D)

½dm{b¶a

072.

Which award architecture?

is

072.

H$m¡Z gm nwañH$ma dmñVwH$bm go gå~pÝYV h¡?

(A) Booker Prize

(A)

~wH$a àmBµO

(B) Jnanpith Award

(B)

kmZnrR> AdmS>©

(C) Aga Khan Award

(C)

AmJm ImZ AdmS>©

(D) Pulitzer Prize

(D)

nw{bËµOa àmBµO

073.

Which city is called 'Silicon Valley of India'?

073.

(A) Mumbai

(B) Pune

H$m¡Z go eha "^maV H$s {g{bH$m°Z d¡br' Ho$ Zm‘ go OmZm OmVm h¡? (A) ‘wå~B© (B) nwUo

(C) Bengaluru

(D) Kolkata

(C)

4 - DC ]

associated

with

[ 20 ]

~|Jbwé

(D)

H$mobH$mVm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

074.

Which city is called 'City of Seven Islands'?

074.

H$m¡Z go eha "gmV {Ûnm| H$m eha' H$hm OmVm h¢?

(A) Mumbai

(B) Chandigarh

(A)

(B)

(C) Bengaluru

(D) Kolkata

‘wå~B©

M§S>rJ‹T>

(C)

~|Jbwé

(D)

H$mobH$mVm

075.

Amongst the following, who is an Indian Architect?

075.

(A) Edwin Lutyens

(B) Le Corbusier

(C) Charles Correa

(D) Zaha Hadid

{ZåZ ‘| go H$m¡Z go dmñVw{dY ^maVr¶ h¢? (A) ES>{dZ bwQ>çoÝg (B) br H$m~w©{g¶a (C) Mmëg© H$mo[a¶m (D) Omhm hXrX

076.

Which of the following buildings in majorly made in exposed brick work?

076.

(A) Raj Bhawan, New Delhi

(B) IIM, Ahmedabad

(C) IIT Kanpur

(D) Victoria Terminus, Mumbai

077.

What can Jantar Mantar do?

077.

(A) Measure the temperature

(B) Predict Rainfall

(C) Measure the time of the day

(D) None of the options

078.

Where are Ajanta & Ellora caves located?

078.

(A) Maharashtra

(B) Madhya Pradesh

(C) Karnataka

(D) Rajasthan

4 - DC ]

[ 21 ]

{ZåZ ‘| go H$m¡Z gm ^dZ ‘w»¶V¶m E³gnmoÁS> BªQ> go {Z{‘©V h¡? (A) amO ^dZ, ZB© {Xëbr (B) AmB©.AmB©.E‘., Ah‘Xm~mX (C) AmB©.AmB©.Q>r., H$mZnwa (D) {d³Q>mo[a¶m Q>{‘©Zg, ‘wå~B© O§Va ‘§Va ³¶m Xem©Vm h¡? (A) Vmn‘mZ (B) dfm© H$m AZw‘mZ (C) {XZ H$m g‘¶ (D) BZ‘| go H$moB© {dH$ën Zht AO§Vm Ebmoam H$s Jw’$m H$hm± pñWV h¡? (A) ‘hmamîQ´> (B) ‘Ü¶àXoe (C) H$Zm©Q>H$ (D) amOñWmZ

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

079.

Humayun's Tomb is majorly made of:

(A) Red Marble Stone

(B) Red Sand Stone

(C) Laterite Stone

(D) White Marble

080.

Indicate the correct top view of the image?

(A)

(B)

(C)

(D)

081.

Indicate the correct top view of the image?

(A)

(B)

(C)

(D)

4 - DC ]

080.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(B)

(C)

(D)

081.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(B)

(C)

(D)

hþ‘m¶y± H$m ‘H$~am ‘w»¶V¶m {H$ggo {Z{‘©V h¡? (A) bmb g§J‘a‘a (B) bmb ~bwAm nËWa (C) boQ´>mB©Q> nËWa (D) g’o$X g§J‘a‘a

079.

[ 22 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

082.

Indicate the correct top view of the image?

082.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(C)

(B)

(C)

(D)

(D)

083.

Indicate the correct top view of the image?

083.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DC ]

[ 23 ]

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084.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Indicate the correct top view of the image?

(A)

(A)

(B)

(B)

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

084.

(C)

(C)

(D)

(D)

085.

Which of the figures can be used to continue the series?

085.

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

?

(A)

(B)

?

(A)

(B)

(C)

(D)

(C)

(D)

4 - DC ]

[ 24 ]

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086.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which of the figures can be used to continue the series?

?

(A)

(B)

(C)

(D)

087.

086.

{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)

Select the figure which is odd one out

087.

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

(A)

(B)

(A)

(C)

(D)

(C)

088.

Select the figure which is odd one out

088.

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

(B)

(D)

(A)

(B)

(C)

(D)

4 - DC ]

(A)

(B)

(C)

(D)

[ 25 ]

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089.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

089.

Select a suitable figure to complete the figure matrix

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

090.

Select a suitable figure to complete the figure matrix

090.

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

{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 - DC ]

(A)

(B)

(C)

(D)

[ 26 ]

[ Contd...

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091.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

091.

(A)

(B)

(C)

(D)

092.

Select a suitable figure to complete the figure matrix

(A)

(B)

(C)

(D)

092.

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

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

(A)

(A)

(B)

(C)

(D)

4 - DC ]

(B)

(C)

(D)

[ 27 ]

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093.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

093.

(A)

(B) (C)

(A)

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

(B)

(C)

(D)

094.

What is the minimum number of straight lines that is needed to construct the figure?

(A) 11

(B) 13

(C) 15

(D) 21

095.

Count the number of squares in the following figure.

(D)

094.

ZrMo {XE JE {MÌ H$mo ~ZmZo ‘| H$‘ go H$‘ {H$VZr grYr aoIm H$s Amdí¶H$Vm hmoJr?

(A) 11

(B) 13

(C) 15

(D) 21

095.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 7

(B) 8

(C) 9

(D) 11

4 - DC ]

(A) 7

(B) 8

(C) 9

(D) 11

[ 28 ]

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096.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Count the number of squares in the following figure.

096.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 13

(B) 16

(C) 19

(D) 20

097.

What is the minimum number of different colours required to paint the given figure such that no two adjacent regions have the same colour?

(A) 13

(B) 16

(C) 19

(D) 20

097.

Xmo Amg nmg Ho$ joÌ ‘| EH$ a§J Zm aIVo hþE, Bg {MÌ H$mo H$‘ go H$‘ {H$VZo a§Jm| ‘| a§J gH$Vo h¢?

(A) 3

(B) 4

(C) 5

(D) 2

098.

Count the number of parallelogram in the given figure

(A) 3

(B) 4

(C) 5

(D) 2

098.

Bg {MÌ ‘| {H$VZo g‘mZm§Va h¢?

(A) 8

(B) 11

(C) 12

(D) 15

4 - DC ]

(A) 8

(B) 11

(C) 12

(D) 15

[ 29 ]

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099.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

099.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(A)

(B)

(C)

(D)

(C)

(D)

100.

Which cube CANNOT be made based on the unfolded cube?

100.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DC ]

[ 30 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

4 - DC ]

[ 31 ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

4 - DC ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

[ 32 ]

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

PAPER-4 AZwH«$‘m§H$ /

Roll No.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

àíZnwpñVH$m H$moS>

àíZnwpñVH$m H«$‘m§H$

DD

Question Booklet Sr. No.

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$ÝÐmÜ¶j H$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 {ZË¶ 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 No. of Pages in Booklet including title

PAPER-4 AZwH«$‘m§H$ /

32

Aptitude Test for Architecture PART-A : Mathematics & Aesthetic Sensitivity PART-B : Drawing Aptitude

g‘¶ 2.30 K§Q>o Time 2.30 Hours

àíZnwpñVH$m H«$‘m§H$/

A§H$ / Marks 500

nwpñVH$m ‘| àíZm| H$s g§»¶m No. of Questions in Booklet

100 Questions & Drawing Sheet

Question Booklet Sr. No.

Roll No.

H$j {ZarjH$ Ho$ hñVmja

/Signature of the Invigilator àíZnwpñVH$m H$moS>

DD

narjmWu H$m Zm‘/

Name of Candidate :

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

Aä¶{W©¶m| hoVw Amdí¶H$ {ZX}e :

Q. Booklet Code

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|& 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$Jm VWm Eogo Aä¶Wu A¶mo½¶ Kmo{fV hmo Om¶|Jo& 3. àË¶oH$ 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$mQ>m OmEJm& 4. g^r ~hþ{dH$ënr¶ àíZm| ‘| EH$ hr {dH$ën ghr h¡, {Ogna A§H$ Xo¶ hmoJm& 5. JUH$, bm°J Q>o{~b, ‘mo~mBb ’$moZ, Bbo³Q´>m°{ZH$ CnH$aU VWm ñbmBS> ê$b Am{X H$m à¶moJ d{O©V h¡& 6. Aä¶Wu H$mo narjm H$j N>moS>Zo H$s AZw‘{V narjm Ad{Y H$s g‘mpßV na hr Xr Om¶oJr& 7. ¶{X {H$gr Aä¶Wu Ho$ nmg nwñVH|$ ¶m AÝ¶ {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$Vm h¡& 8. {H$gr ^r ^«‘ H$s Xem ‘| àíZ-nwpñVH$m Ho$ A§J«oOr A§e H$mo hr ghr d A§{V‘ ‘mZm Om¶oJm& 9. OMR sheet Bg Paper Ho$ ^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&

1. Use BLUE or BLACK BALL POINT PEN only for all entries and for filling the bubbles in the OMR Answer Sheet. 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. Each question carries FOUR marks. No marks will be awarded for unattempted questions. There is no negative marking on wrong answer. 4. Each multiple choice questions has only one correct answer and marks shall be awarded for correct answer. 5. Use of calculator, log table, mobile phones, any electronic gadget and slide rule etc. is strictly prohibited. 6. Candidate will be allowed to leave the examination hall at the end of examination time period only. 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. English version of questions paper is to be considered as authentic and final to resolve any ambiguity. 9. 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.

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

PAPER-4

Aptitude Test for Architecture Mathematics & Aesthetic Sensitivity Drawing Aptitude

– Part A : – Part B :

PART-A / ^mJ-A MATHEMATICS & AESTHETIC SENSITIVITY / 001.

The resultant of two forces P + Q and P – Q is P2 + Q2 then the angle between them is (A) cos –1 e (B) cos –1 e (C) cos –1 e (D) cos –1 e

4 - DD ]

Q. 1 to 100 Q. 1 & 2

J{UV Am¡a EñWo{Q>H$ g|{gQ>r{dQ>r

001.

¶{X Xmo ~bm| P + Q VWm P – Q H$m n[aUm‘r P2 + Q2 h¡ Vmo CZHo$ ‘Ü¶ H$moU hmoJm-

(A) cos –1 e

2 2 1 P +Q o 2 Q2 - P2

P2 - Q2 o Q2 + P2

(B) cos e

P2 - Q2 o Q2 + P2

Q2 - P2 o Q2 + P2

(C) cos –1 e

Q2 - P2 o Q2 + P2

(D) cos –1 e

2 2 1 P -Q o 2 P2 + Q2

2

2

1 P +Q o 2 Q2 - P2

2

2

1 P -Q o 2 P2 + Q2

[ 2 ]

–1

[ Contd...

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002.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

002.

¶{X Xmo g{Xem| P VWm Q H$m n[aUm‘r R H$m ‘mZ 3 Q h¡ VWm P VWm R H$s {XemAmo§ Ho$ ‘Ü¶ P H$m ‘mZ hmoJmH$moU 30° h¡ Vmo Q

(A) 1.5

(B) 2.5

If the resultant R of two vectors P and Q is 3 Q and the angle between the directions of P and R is 30°, then the P value of is Q (A) 1.5

(B) 2.5

(C) 3

(C) 3

(D)

(D) None of the options

003.

A bullet moving with a velocity 10m/s enters a wooden wall and becomes at rest in 1 4 second, then the retardation is (in m/s2)

003.

doJ 10m/s go J{V H$aVr hþB© EH$ Jmobr EH$ bH$‹S>r H$s Xrdma ‘o àdoe H$aVr h¡ VWm 1 4 goH$ÊS> ‘| {dam‘ ‘| AmVr h¡ Vmo ‘ÝXZ (m/s2 ‘|) hmoJm-

(A) 100 m/s2

(A) 100 m/s2

(B) 200 m/s2

(B) 200 m/s2

(C) 40 m/s2

(C) 40 m/s2

(D) 80 m/s2

(D) 80 m/s2

004.

A stone is falling freely from the top of 9 a tower and covers the part of the 25 height of the tower in the last second. Then, the height of the tower is

004.

EH$ nËWa EH$ ‘rZma Ho$ erf© go ‘wº$ ê$n go 9 ^mJ {Ja ahm h¡ VWm ‘rZma H$s D$±MmB© H$m 25 ¶h A§{V‘ goH$ÊS> ‘| V¶ H$aVm h¡ Vmo ‘rZma H$s D$±MmB© hmoJr-

(A) 122.5m

(B) 245m

(A) 122.5m

(B) 245m

(C) 100m

(D) 125m

(C) 100m

(D) 125m

005.

A particle is thrown in upward direction with a velocity 9.8m/s. The position of the particle after 2 second will be

005.

EH$ H$U H$mo D$na H$s Va’$ doJ 9.8m/s go àjo{nV {H$¶m OmVm h¡ Vmo H$U H$s 2 goH$ÊS> ~mX pñW{V hmoJr-

(A) 100m

(B) 200m

(A) 100m

(B) 200m

(C) 0

(D) 250m

(C) 0

(D) 250m

4 - DD ]

[ 3 ]

BZ‘| go H$moB© {dH$ën Zht

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

006.

A man can throw a stone to the maximum distance of 196 m the maximum height attained by the stone during the flight is

006.

EH$ ì¶{º$ EH$ nËWa H$mo A{YH$V‘ 196 m Xÿar na ’|$H$ gH$Vm h¡ Vmo Bg CS²>S>¶Z Ho$ Xm¡amZ nËWa Ûmam àmßV H$s JB© A{YH$V‘ D$±MmB© hmoJr-

(A) 9.8m

(B) 49m

(A) 9.8m

(B) 49m

(C) 19.6m

(D) 98m

(C) 19.6m

(D) 98m

007.

If the coefficients of x and x2 in the expansion of ^1 + xhm ^1 - xhn are 3 and – 6 respectively, then the value of m is

007.

(A) 12

¶{X ^1 + xhm ^1 - xhn Ho$ {dñVma ‘| x VWm x2 Ho$ JwUm§H$ H«$‘e: 3 VWm – 6 h¡ Vmo m H$m ‘mZ hmoJm-

(A) 12

(B) 10

(B) 10

(C) 15

(C) 15

(D) None of the options

(D)

008.

The sum of infinite series

008.

1+

2 +3 +4 + ..... is 2 3 4 (A) e (B) 3e

AZÝV loUr H$m ¶moJ hmoJm-

23 + 33 + 43 + ........ 2 3 4 (A) e (B) 3e

(C) 5e

(C) 5e

009.

009.

AZÝV loUr H$m ¶moJ hmoJm-

The sum of infinite series 1 + 1 + 1 + ....... is 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

1 + 1 + 1 + ....... 2$3 4$5 6$7 (A) 1+5 loge2 (B) 1–loge2

(C) 1+loge2

(C) 1+loge2

010.

The total number of matrices of order 3 × 3 with entries 0, 1 is

010.

H$mo{Q> 3 × 3 Ho$ gmW à{dpîQ>¶m± 0, 1 dmbr ‘o{Q´>³gmo H$s Hw$b g§»¶m hmoJr-

(A) 512

(A) 512

(B) 256

(B) 256

(C) 1024

(C) 1024

(D) None of the options

(D)

1+

4 - DD ]

3

3

3

(D) 2e

(D) loge2–1

[ 4 ]

BZ‘| go H$moB© {dH$ën Zht

(D) 2e

(D) loge2–1

BZ‘| go H$moB© {dH$ën Zht [ Contd...

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

011.

3 7 G, the value of det (AadjA) is If A = = 11 13

(A) 4441

(B) 4414

(C) 1444

(D) 4144

012.

0 If f (x) = x + a x+b

x-a 0 x+c

(A) f (a) = 0

(C) f (c) = 0

x-b x - c , then 0

3 7 G, 13

Vmo

(A) 4441

(B) 4414

(C) 1444

(D) 4144

det (AadjA)

x-a 0 x+c

0 = f (x) x + a x+b

¶{X

(B) f (b) = 0

(A) f (a) = 0

(B) f (b) = 0

(D) f (0) = 0

(C) f (c) = 0

(D) f (0) = 0

(A) –1

(B) –2

(C) 0

(D) 3

1 2t , then t

lim t"0

f ( t) is t2

cos t t = f (t) 2 sin t t sin t t

1 2t , t

013.

¶{X

‘mZ hmoJm-

(A) –1

(B) –2

(C) 0

(D) 3

Vmo

sin (r cos 2 x) H$m ‘mZ hmoJm x2 (A) π (B) 1

(D) π2

(C) – π

16 , then f l (- 8) is x

015.

¶{X

1 8

(A)

1 8

(B)

1 12

(B)

1 12

(C)

1 4

(C)

1 4

(D)

1 3

(D)

1 3

sin (r cos 2 x) is equal to x2 (A) π (B) 1

(C) – π

015.

If f (x) = 1 - x 2/3 +

(A)

014.

014.

lim x"0

4 - DD ]

[ 5 ]

H$m ‘mZ

x-b x - c , Vmo 0

012.

cos t t If f (t) = 2 sin t t sin t t equal to

013.

¶{X A = =11 hmoJm-

011.

lim t"0

f (t) t2

H$m

lim x"0

(D) π2

f (x) = 1 - x 2/3 +

16 , Vmo f l (- 8) x

hmoJm

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016.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The area of the triangle formed by the coordinate axes and the tangent to the curve y = loge x at the point (1,0) is 1 (A) (B) 1 2 3 (C) 2 (D) 2

e3x - 1 is tan x (A) 1

(B) 3

(C) 1/3

(D) None of the options

018.

b If the function f (x) = x 2 + has a local x minimum at x = 2, the b is equal to

(A) 4

(B) 8

(C) 12

(D) 16

019.

If

017.

lim x"0

to

# ^ x4 + x2 + 1h49 ^2x3 + xh dx =

1 ^ 4 + 2 + h50 + x x 1 c Then a is equal a

(A) 100

(B) 50

(C) 200

(D) 400

020.

The value of the integral 8

#

2

10 - x dx is x + 10 - x

(A) 5

(B) 10

(C) 3

(D) 8

4 - DD ]

016.

{~ÝXþ (1,0) na dH«$ y = loge x H$s ñne© aoIm VWm {ZX}em§H$ Ajm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A)

1 2 (C) 2

017.

lim x"0

(A) 1

(B) 3

(C) 1/3

(D)

018.

’$bZ

(A) 4

(B) 8

(C) 12

(D) 16

019.

¶{X # ^ x 4 + x2 + 1h49 ^2x3 + xh dx =

(B) 1 3 (D) 2

e3x - 1 tan x

H$m ‘mZ hmoJm-

BZ‘| go H$moB© {dH$ën Zht f (x) = x 2 +

b x

H$m ñWmZr¶ {ZpåZîQ> x = 2 na h¡ Vmo b H$m ‘mZ h¡-

1 ^ 4 + 2 + h50 + x x 1 c Vmo a H$m a (A) 100 (B) 50

(C) 200

8

020.

g‘mH$b # 2

(D) 400

10 - x dx x + 10 - x

(A) 5

(B) 10

(C) 3

(D) 8

[ 6 ]

‘mZ hmoJm

H$m ‘mZ hmoJm

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021.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Two unbiased dice are rolled simultaneously. The probability of getting an odd number on the first die or the sum of the numbers to be 8 is

021.

Xmo {~Zm nydm©J«h dmbo nmgm| H$mo EH$ gmW bw‹T>H$m¶m OmVm h¡ nhbo nmgo na {df‘ g§»¶m nmZo H$s ¶m g§»¶mAm| H$m ¶moJ 8 hmoZo H$s àm{¶H$Vm hmoJr

11 (A) 36

17 (B) 36

(A)

11 36

(B)

17 36

23 (C) 36

21 (D) 36

(C)

23 36

(D)

21 36

022.

EH$ àmH¥$V g§»¶m x H$mo àW‘ 100 àmH¥$V g§»¶mAm| ‘| go ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo x + 100 > 50 H$s àm{¶H$Vm hmoJrx

022.

A natural number x selected at random from first 100 natural numbers. The 100 probability that x + > 50 is x

(A)

3 50

(B)

41 50

(A)

(B)

(C)

(D)

17 20

41 50

11 20

3 50

(C)

11 20

(D)

17 20

023.

Two fair dice are rolled simultaneously. The probability that the sum of numbers (appear on the faces of both dice) is 7 or 11 is 1 2 (A) (B) 9 9 7 4 (C) (D) 9 9

023.

Xmo ghr nmgm| H$mo EH$ gmW bwT>H$m¶o OmVo h¢ Vmo XmoZm| nmgm| Ho$ ’$bH$m| na àH$Q> g§»¶mAm| Ho$ Omo‹S> 7 ¶m 11 hmoZo H$s àm{¶H$Vm hmoJr-

(A)

The unit vector perpendicular to both of the vectors a = 2it - 3tj + 5kt, b =- it + 4tj + 2kt is

024.

024.

1 9 7 (C) 9

2 9 4 (D) 9 (B)

g{Xem|

a = 2it - 3tj + 5kt,

b =- it + 4tj + 2kt

Ho$ bå~dV BH$mB© g{Xe

XmoZm| hmoJm-

(A)

- 26it - 9tj + 5kt 782

(A)

- 26it - 9tj + 5kt 782

(B)

26it + 9tj - 10kt 782

(B)

26it + 9tj - 10kt 782

(C)

26it - 10tj + 5kt 782

(C)

26it - 10tj + 5kt 782

(D)

62it + 9tj - 5kt 782

(D)

62it + 9tj - 5kt 782

4 - DD ]

[ 7 ]

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025.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Out of 2n + 1 consecutive natural number if three number are selected at random, the probability that they are in A.P. is 2n + 1 3n (A) (B) 2 4n + 1 4n 2 + 1 3n + 1 4n 2 - 1

3n 4n 2 - 1

2n + 1 H«$‘mJV

(A)

3n 4n 2 + 1

(B)

2n + 1 4n 2 + 1

(C)

3n + 1 4n 2 - 1

(D)

3n 4n 2 - 1

àmH¥$V g§»¶mAm| ‘| go ¶{X VrZ g§»¶mAm| H$mo ¶mÑpÀN>H$ ê$n go M¶Z {H$¶m OmVm h¡ Vmo BZHo$ A.P. ‘| hmoZo H$s àm{¶H$Vm ³¶m hmoJr-

(C)

026.

If the two finite sets X and Y have m and n elements respectively and the total number of subsets of X is 56 more than the total number of subsets of Y, then the values of m and n respectively are

026.

¶{X Xmo n[a{‘V g‘wÀM¶ X VWm Y H«$‘e: m VWm n Ad¶d aIVo h¢ Am¡a X Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m, Y Ho$ Cng‘wÀM¶m| H$s Hw$b g§»¶m go 56 A{YH$ h¡ Vmo m VWm n Ho$ ‘mZ H«$‘e: h¢-

(A) 7, 6

(B) 5, 1

(A) 7, 6

(B) 5, 1

(C) 6, 3

(D) 7, 8

(C) 6, 3

(D) 7, 8

027.

027.

¶{X f (x) = x3 ‘mZ h¡-

(A) 2x3

1 1 If f (x) = x3 - 3 , then f (x) + f ` j is x x equal to 2 (A) 2x3 (B) 3 x (C) 1 (D) 0

(C) 1

028.

The

028.

’$bZ

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D)

(D)

025.

domain of 1 is f (x) = x- x

(A) ^- 3, 3h

(B) 60, 3h

(C) ^- 3, 0h

(D) None of the options

4 - DD ]

the

function

[ 8 ]

f (x) =

1 , x3

Vmo

1 f (x) + f ` j x

H$m

2 x3 (D) 0

(B)

1 x- x

H$m àmÝV h¡

BZ‘| go H$moB© {dH$ën Zht

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029.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

If sin θ and cos θ are roots of the equation ax 2 - bx + c = 0 , then a, b and c satisfy

029.

¶{X g‘rH$aU ax2 - bx + c = 0 Ho$ ‘yb sin θ VWm cos θ h¢ Vmo a, b VWm c {ZåZ gå~ÝY H$mo g§VwîQ> H$aVo h¢-

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

030.

cos

(A)

1 (C) - 16

the relation

(A) a 2 + 2ac - b = 0

(B) a 2 + 2ac + b 2 = 0

(C) a 2 + b 2 - 2ac = 0

(D) a 2 + b 2 + 2bc = 0

030.

The value of cos is

r 2r 4r 8r cos cos cos 5 5 5 5

1 16

(B)

1 8

r 2r 4r 8r cos cos cos 5 5 5 5 1 16

(B)

H$m ‘mZ h¡

1 8

(A)

1 (C) - 16

031.

The minimum value of 3cosθ + 4sinθ + 8

031.

ì¶§OH$ 3cosθ + 4sinθ + 8 H$m Ý¶yZV‘ ‘mZ h¡-

is

(A) 3

(B) 9

(C) 7

(D) 5

z+2-i - z-2+i =0

1 (D) 8

(A) 3

(B) 9

(C) 7

(D) 5

032.

The equation z + 2 - i - z - 2 + i = 0 represents

032.

g‘rH$aU h¡-

(A) straight lines

(A)

gab aoImE±

(B) ellipse

(B)

XrK©d¥Îm

(C) parabola

(C)

nadb¶

(D) hyperbola

(D)

A{Vnadb¶

4 - DD ]

[ 9 ]

1 (D) 8

Xem©Vm

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

033.

The smallest positive integer n for which ^1 + ih2n = ^1 - ih2n is

033.

(A) 4

(B) 8

gå~ÝY ^1 + ih2n = ^1 - ih2n Ho$ {bE g~go N>moQ>m YZmË‘H$ nyUmªH$ n hmoJm-

(A) 4

(B) 8

(C) 2

(D) 16

(C) 2

(D) 16

034.

If α, β and γ are the roots of the equation x3 - 3x 2 + 3x + 7 = 0 and ω is the cubic root of unity, then the value of a-1 + b-1 + c-1 is b-1 c-1 a-1 3 (A) (B) ~2 ~ (C) 2 ~2 (D) 3 ~2

034.

¶{X g‘rH$aU x3 - 3x2 + 3x + 7 = 0 Ho$ ‘yb α, β VWm γ h¡ VWm BH$mB© H$m KZ‘yb ω h¡ Vmo

035.

a-1 + b-1 + c-1 H$m b-1 c-1 a-1 3 (A) (B) ~2 ~

(C) 2 ~2

The third term of a G.P. is 4, then the product of its first five terms is

035.

¶{X EH$ G.P. H$m Vrgam nX 4 h¡ Vmo BgHo$ nhbo nm±M nXm| H$m JwUZ’$b hmoJm

(A) 45

(A) 45

(B) 54

(B) 54

(C) 44

(C) 44

(D) None of the options

(D)

036.

036.

{dñVma

(A) 35344

(B) 25344

The coefficient of x11 in the expansion of 2 12 c x3 - 2 m is x (A) 35344 (B) 25344

(C) –25344

(D) –35344

(C) –25344

037.

The middle term(s) in the expansion of 9 p c + x m is x p 126p 126x (A) (B) x p 126x 126 (C) (D) 2 p p

037.

c

(A)

4 - DD ]

‘mZ h¡-

(D) 3 ~2

BZ‘o go H$moB© {dH$ën Zht c x3 -

2 12 m x2

‘| x11 H$m JwUm§H$ h¡-

(D) –35344

[ 10 ]

9 p + xm x p

Ho$ {dñVma ‘o ‘Ü¶ nX h¡-

126x p 126x (C) p2

126p x 126 (D) p (B)

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

038.

If the coefficients of 2nd, 3rd and 4th terms in the expansion of ^1 + xhn are in A.P., the values of n is -

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

039.

^1 + xhn

038.

Ho$ {dñVma ‘o 2nd, 3rd VWm 4th nXm| Ho$ JwUm§H$ A.P. ‘| h¡ Vmo n Ho$ ‘mZ h¢-

(A) 5, 8

(B) (4, 9)

(C) 2, 7

(D) 3, 8

The two lines ax + by = c and al x + bl y = cl are perpendicular to each other then

039.

¶{X Xmo aoImE± ax + by = c VWm al x + bl y = cl nañna EH$ Xÿgao Ho$ bå~dV h¢ Vmo

(A) aal + bbl = 0 (B) al b + abl = 0

(A) aal + bbl = 0 (B) al b + abl = 0

(C) al b + abl = 1 (D) abl + al bl = - 1

(C) al b + abl = 1 (D) abl + al bl = - 1

040.

The area of triangle formed by the lines joining the vertex of the parabola x2 = 12y to the extremities of the latus rectum (of the parabola) is

040.

nadb¶ x2 = 12y Ho$ erf© VWm nadb¶ Ho$ Zm{^bå~ Ho$ {gam| {~ÝXþAm| H$mo Omo‹S>Zodmbr aoImAm| Ûmam ~Zo {Ì^wO H$m joÌ’$b hmoJm-

(A) 12

(A) 12

(B) 16

(B) 16

(C) 24

(C) 24

(D) None of the options

(D)

041.

If two vectors a = 2it - tj + 2kt and b = 3it + mtj + kt are perpendicular then the value of λ is

041.

¶{X

(A) 8

(B) 4

(A) 8

(B) 4

(C) 6

(D) 2

(C) 6

(D) 2

042.

If for vectors a and b , a = 8, b = 3 and a # b = 12 , then value of a $ b is

042.

¶{X g{Xe a VWm b , Ho$ {bE a = 8, b = 3 VWm a # b = 12 , hmo Vmo a $ b H$m ‘mZ hmoJm

(A) 6 3

(A) 6 3

(B) 8 3

(B) 8 3

(C) 12 3

(C) 12 3

(D) None of the options

(D)

4 - DD ]

BZ‘| go H$moB© {dH$ën Zht Xmo

g{Xe

b = 3it + mtj + kt

a = 2it - tj + 2kt

bå~dV h¢ Vmo

λ

VWm H$m ‘mZ

hmoJm-

[ 11 ]

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043.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

043.

a , b , c are unit vectors such that a + b + c = 0 , then the value of a .b + b .c + c .a is

(A) 1

(A) 1

(B) 3

(B) 3

If

3 (C) 2 (D) None of the options

¶{X

a, b, c

a+b+c

Bg àH$ma BH$mB© g{Xe h¡ {H$ = 0 V~ a .b + b .c + c .a H$m

‘mZ hmoJm-

3 (C) 2 (D) BZ‘|

go H$moB© {dH$ën Zht

044.

If ^a # b h + ^a $ b h = 144 and a = 4 , then b is equal to

044.

¶{X ^a # b h2 + ^a $ b h2 = 144 VWm Vmo b H$m ‘mZ hmoJm-

(A) 16

(A) 16

(B) 8

(B) 8

(C) 3

(C) 3

(D) None of the options

(D)

045.

The length of the latus rectum of the ellipse 3x 2 + y 2 = 12 is

045.

XrK©d¥Îm 3x2 + y2 = 12 Ho$ Zm{^bå~ H$s bå~mB© hmoJr

(A) 4

(A) 4

(B) 18

(B) 18

(C) 12

(C) 12

(D) None of the options

(D)

046.

The equation of hyperbola with eccentricity 3/2 and focii at ^! 2, 0h is

046.

Cg A{Vnadb¶ H$m g‘rH$aU ³¶m hmoJm {OgH$s CËHo$ÝÐVm 3/2 VWm Zm{^ ^! 2, 0h na h¡

2

2

BZ‘| go H$moB© {dH$ën Zht

BZ‘o go H$moB© {dH$ën Zht

(A)

x - y =4 4 5 9

2 x2 - y = 4 (A) 4 5 9

(B)

2

x - y =4 9 9 9

(B)

2 x2 - y = 4 9 9 9

2 x - y = (C) 1 4 9

(C)

2 x2 - y = 1 4 9

x - y =4 5 4 9

2 x2 - y = 4 (D) 5 4 9

2

2

2

2

(D)

4 - DD ]

2

2

[ 12 ]

a =4

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047.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

The eccentricity of an ellipse 2 x2 + y = 1 , whose latus rectum is half a2 b2 of its minor axis is

(A)

1 2

(A)

(B)

2 3

1 2

(B)

(C)

3 2

2 3

(C)

(D) None of the options

3 2

(D)

048.

If the foci of ellipse

2 x2 + y = 1 a2 b2

047.

XrK©d¥Îm

Aj H$m AmYm h¡ Vmo XrK©d¥Îm H$s CËHo$ÝÐVm ³¶m hmoJr?

H$m Zm{^bå~, bKw

BZ‘| go H$moB© {dH$ën Zht

2 x2 + y = 1 and 25 b 2 2 x2 - y = 1 hyperbola coincide, 144 81 25 then the value of b 2 is

(A) 3

(B) 16

(C) 9

(D) 12

049.

The area of the parallelogram whose diagonals are and 2it + tj + 2kt t t t 2i - 2j + 4k is

049.

Cg g‘mÝVa MVw^w©O H$m joÌ’$b ³¶m hmoJm {OgHo$ {dH$U© 2it + tj + 2kt VWm 2it - 2tj + 4kt h¢

(A) 8 3

(A) 8 3

(B) 4 3

(B) 4 3

(C) 10 3

(C) 10 3

(D)

(D) None of the options

4 - DD ]

2 x2 + y = 1 25 b 2

048.

¶{X XrK©d¥Îm

2 x2 - y = 1 144 81 25

H$m ‘mZ hmoJm-

(A) 3

(B) 16

(C) 9

(D) 12

[ 13 ]

VWm A{Vnadb¶

Ho$ Zm{^ gånmVr h¡ Vmo b2

BZ‘| go H$moB© {dH$ën Zht

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050.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

If a + b + c = 0 , a = 3, b = 7 , then the angle between a and b is r 2r (A) (B) 6 3 5r 3

(D)

r 3

050.

¶{X a + b + c = 0 , a = 3, a VWm b Ho$ ‘Ü¶ H$moU hmoJm -

(A)

r 6

(B)

2r 3

(C)

5r 3

(D)

r 3

b = 7,

Vmo

(C)

051.

Which city is called 'Silicon Valley of India'?

051.

(A) Mumbai

(B) Pune

H$m¡Z go eha "^maV H$s {g{bH$m°Z d¡br' Ho$ Zm‘ go OmZm OmVm h¡? (A) ‘wå~B© (B) nwUo

(C) Bengaluru

(D) Kolkata

(C)

052.

Which city is called 'City of Seven

052.

H$m¡Z go eha "gmV {Ûnm| H$m eha' H$hm OmVm h¢?

Islands'?

~|Jbwé

(D)

H$mobH$mVm

(A) Mumbai

(B) Chandigarh

(A)

‘wå~B©

(B)

M§S>rJ‹T>

(C) Bengaluru

(D) Kolkata

(C)

~|Jbwé

(D)

H$mobH$mVm

053.

Amongst the following, who is an Indian Architect?

053.

(A) Edwin Lutyens

(B) Le Corbusier

(C) Charles Correa

(D) Zaha Hadid

{ZåZ ‘| go H$m¡Z go dmñVw{dY ^maVr¶ h¢? (A) ES>{dZ bwQ>çoÝg (B) br H$m~w©{g¶a (C) Mmëg© H$mo[a¶m (D) Omhm hXrX

054.

Which of the following buildings in majorly made in exposed brick work?

054.

(A) Raj Bhawan, New Delhi

(B) IIM, Ahmedabad

(C) IIT Kanpur

(D) Victoria Terminus, Mumbai

4 - DD ]

[ 14 ]

{ZåZ ‘| go H$m¡Z gm ^dZ ‘w»¶V¶m E³gnmoÁS> BªQ> go {Z{‘©V h¡? (A) amO ^dZ, ZB© {Xëbr (B) AmB©.AmB©.E‘., Ah‘Xm~mX (C) AmB©.AmB©.Q>r., H$mZnwa (D) {d³Q>mo[a¶m Q>{‘©Zg, ‘wå~B©

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

055.

What can Jantar Mantar do?

(A) Measure the temperature

(B) Predict Rainfall

(C) Measure the time of the day

(D) None of the options

056.

Where are Ajanta & Ellora caves located?

056.

(A) Maharashtra

(B) Madhya Pradesh

(C) Karnataka

(D) Rajasthan

057.

Humayun's Tomb is majorly made of:

057.

(A) Red Marble Stone

(B) Red Sand Stone

(C) Laterite Stone

(D) White Marble

hþ‘m¶y± H$m ‘H$~am ‘w»¶V¶m {H$ggo {Z{‘©V h¡? (A) bmb g§J‘a‘a (B) bmb ~bwAm nËWa (C) boQ´>mB©Q> nËWa

(D)

058.

Indicate the correct top view of the image?

058.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

4 - DD ]

055.

[ 15 ]

O§Va ‘§Va ³¶m Xem©Vm h¡? (A) Vmn‘mZ (B) dfm© H$m AZw‘mZ (C) {XZ H$m g‘¶ (D) BZ‘| go H$moB© {dH$ën Zht AO§Vm Ebmoam H$s Jw’$m H$hm± pñWV h¡? (A) ‘hmamîQ´> (B) ‘Ü¶àXoe (C) H$Zm©Q>H$ (D) amOñWmZ

g’o$X g§J‘a‘a

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059.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Indicate the correct top view of the image?

(A)

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(B)

(C)

(D)

059.

(B)

(C)

(D)

060.

Indicate the correct top view of the image?

060.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(C)

(D)

(B)

(C)

(D)

4 - DD ]

[ 16 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

061.

Indicate the correct top view of the image?

061.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

062.

Indicate the correct top view of the image?

062.

{XE JE {MÌ H$m ghr erf© Ôí¶ B§{JV H$a|&

(A)

(A)

(B)

(C)

(B)

(C)

(D)

4 - DD ]

[ 17 ]

(D)

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063.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which of the figures can be used to continue the series?

(A)

(B)

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

?

063.

?

(A)

(B)

(C)

(D)

064.

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

(C)

(D)

064.

Which of the figures can be used to continue the series?

?

(A)

(B)

(C)

(D)

065.

Select the figure which is odd one out

(A)

(C)

4 - DD ]

(B)

(D)

?

(A)

(B)

(C)

(D)

065.

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

(A)

(C)

[ 18 ]

(B)

(D)

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066.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select the figure which is odd one out

066.

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

(A)

(B)

(C)

067.

(A)

(B)

(C)

(D)

(D)

067.

Select a suitable figure to complete the figure matrix

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

(A)

(A)

(B)

(B)

(C)

(C)

(D)

(D)

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[ 19 ]

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068.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

068.

{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)

069.

Select a suitable figure to complete the figure matrix

(A)

(B)

(C)

(D)

069.

{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)

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(A)

(B)

(C)

(D)

[ 20 ]

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070.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Select a suitable figure to complete the figure matrix

070.

(A)

(B)

(C)

071.

(B)

(C)

(D)

(D)

Select a suitable figure to complete the figure matrix

071.

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

(A)

(B)

(A)

(B)

(C)

(A)

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

(C)

(D)

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[ 21 ]

(D)

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072.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

What is the minimum number of straight lines that is needed to construct the figure?

(A) 11

(B) 13

(C) 15

(D) 21

073.

Count the number of squares in the following figure.

072.

ZrMo {XE JE {MÌ H$mo ~ZmZo ‘| H$‘ go H$‘ {H$VZr grYr aoIm H$s Amdí¶H$Vm hmoJr?

(A) 11

(B) 13

(C) 15

(D) 21

073.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 7

(B) 8

(C) 9

(D) 11

074.

ZrMo {XE JE {MÌ ‘| {H$VZo dJ© h¢?

(A) 7

(B) 8

(C) 9

(D) 11

074.

Count the number of squares in the following figure.

(A) 13

(B) 16

(C) 19

(D) 20

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(A) 13

(B) 16

(C) 19

(D) 20

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075.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

What is the minimum number of different colours required to paint the given figure such that no two adjacent regions have the same colour?

075.

Xmo Amg nmg Ho$ joÌ ‘| EH$ a§J Zm aIVo hþE, Bg {MÌ H$mo H$‘ go H$‘ {H$VZo a§Jm| ‘| a§J gH$Vo h¢?

(A) 3

(B) 4

(C) 5

(D) 2

076.

Count the number of parallelogram in the given figure

(A) 8

(B) 11

(C) 12

(D) 15

077.

Which cube CANNOT be made based on the unfolded cube?

(A) 3

(B) 4

(C) 5

(D) 2

076.

Bg {MÌ ‘| {H$VZo g‘mZm§Va h¢?

(A) 8

(B) 11

(C) 12

(D) 15

077.

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(C)

(D)

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(A)

(B)

(C)

(D)

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078.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

078.

(A)

(B)

(B)

(C)

(C)

(D)

(D)

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[ 24 ]

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079.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Which cube CANNOT be made based on the unfolded cube?

079.

(A)

ZrMo {XE JE KZ ‘| go H$m¡Z gm KZ Iwbo hþE KZ go Zht ~Zm¶m Om gH$Vm?

(A)

(B)

(C)

(D)

080.

bmoJmo H$mo nhMmZo

(B)

(C)

(D)

080.

Identify the logo

(A)

‘qhÐm

(B)

‘¡H$ S>m°ZëS²>g

(C) Master chef (D) Mateo

(C)

‘mñQ>a eo’$

(D)

‘Vo¶mo

Identify the logo

081.

bmoJmo H$mo nhMmZo

(A) Mahindra

081.

(B) Mc donalds

(A) Wikipedia

(C) Wordpress (D) Microsoft word

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(B) Volkswagen

(A)

(C)

[ 25 ]

{d{H$nr{S>¶m dS>©àog

(B)

dm°³gd¡JZ (D) ‘mBH«$mogm°âQ> dS>© [ PTO

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082.

Identify the logo

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

082.

bmoJmo H$mo nhMmZo

(A) Aditya Birla Group

(A)

Am{XË¶ {~abm J«wn

(B) Airbus

(B)

E¶a~g

(C) Ground Globe

(C)

J«mC§S> ½bmo~

(D) World Wide Web

(D)

dëS>© dmBS> do~

083.

Identify the logo

083.

bmoJmo H$mo nhMmZo

(A) Olympics

(A)

(B) Lord of the rings

(B)

(C) Master card

Amob§{n³g bmS>© Am°’$ X [a¨½g

(D) Audi

(C)

‘mñQ>a H$mS>©

(D)

Am°S>r

084.

Identify the logo

084.

bmoJmo H$mo nhMmZo

(A) Blackberry

(A)

ãb¡H$~oar

(B) Bosch

(B)

~m°e

(C) Bhim App

(C)

^r‘ Eon

(D) Bentley

(D)

~|Q>bo

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

085.

Recognize the building from its silhouette.

085.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Twin Tower, WTC, New York

(A)

{Q‰>Z Q>mda, S>ãby, Q>r.gr. Ý¶y ¶m°H©$

(B) Petronas Tower, Malaysia

(B)

noQ´>moZg Q>mdg©, ‘bo{e¶m

(C) CN Tower, Tokyo

(C)

gr BZ Q>mda, Q>mo³¶mo

(D) CCTV Headquarters, Beijing

(D)

go go Q>r {d hoS> µH$dQ>g©, ~rqOJ

086.

Recognize the building from its silhouette.

086.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Lotus Temple, New Delhi

(A)

bmoQ>g Q>oånb, Z¶r {Xëbr

(B) Opera House, Sydney

(B)

Amonoam hmCg, {gS>Zr

(C) Hagia Sophia, Istanbul

(C)

hm{J¶m gmo{‹’$¶m, BñVm§~wb

(D) Jewish Museum, Berlin

(D)

Á¶yBe å¶w{g¶‘, ~{b©Z

087.

Recognize the building from its silhouette.

087.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Gateway of India, Mumbai

(A)

JoQ>do Am°‹’$ B§{S>¶m, ‘wå~B©

(B) Arc De Triomphe, Paris

(B)

AH©$ S>r {Q´>Amon, no[ag

(C) India Gate, New Delhi

(C)

B§{S>¶m JoQ>, Z¶r {Xëbr >

(D) Buland Darwaza, Fatehpur Sikri

(D)

~wb§X XadmOm, ’$Vohnwa grH$ar

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088.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Recognize the building from its silhouette.

088.

{XE JE N>m¶m {MÌ go ^dZ nhMmZo&

(A) Burj Al Arab, Dubai

(A)

~wO© Ab Aa~, Xþ~B©

(B) Burj Khalifa, Dubai

(B)

~wO© Ibr’$m, Xþ~B©

(C) St. Mary Axe, London

(C)

g§V. ‘¡ar A³g, bÝXZ

(D) Chrysler Building, New York

(D)

{H«$gba {~pëS>¨J, Ý¶y ¶m°H©$

089.

What does DPC stand for

089.

(A) Damp Proof Cement

(B) Damp Proof Certificate

(C) Detail Plan Certificate

(D) Damp Proof Course

S>r.nr.gr. H$m ³¶m VmËn¶© h¡? (A) S>¡ån ày’$ gr‘|Q> (B) S>¡ån ày’$ g{Q>©{’$Ho$Q> (C) {S>Q>ob ßbmZ g{Q>©{’$Ho$Q> (D) S>¡ån ày’$ H$mog©

090.

Which is the tallest building in the world?

090.

(A) Shanghai Towers

(B) One World Trade Centre

(C) Burj Khalifa

(D) Petronas Tower

091.

Which of the following is the most reflective Surface?

091.

(A) Clay tile

(B) Ceramic tile

(C) Concrete tile

(D) Wooden tile

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[ 28 ]

{dœ H$s g~go D±$Mr B©‘maV H$m¡Z gr h¡? (A) e§KmB© Q>mdg© (B) dZ dëS>© Q´>oS> g|Q>a (C) ~wO© Ibr’$m (D) noQ´>moZmg Q>mdg© {ZåZ ‘| go H$m¡Z gr gVh g~go namdV©H$ h¡? (A) ³bo Q>mBb (B) {gao{‘H$ Q>mBb (C) H§$H«$sQ> Q>mBb (D) dwS>oZ Q>mBb

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

092.

Which of the following material is recommended for better acoustic quality of a hall?

092.

(A) Wood Panelling

(B) Vitrified Tiles

(C) Exposed Bricks

(D) Metal sheet

093.

Which are the primary colors?

093.

(A) Red, Yellow, Green

(B) Red, Yellow, Blue

(C) Green, Orange, Blue

(D) Red, Orange, Blue

094.

What does RCC stand for

094.

(A) Regular Cement Concrete

(B) Reinforced Cement Concrete

(C) Reinforced Concrete Composite

(D) Regular Class Concrete

095.

What does COA stand for

095.

(A) Category of Associates

(B) Class of Architects

(C) Council of Architecture

(D) Committee of Architects

096.

What does NBC stand for

096.

(A) National Building Code

(B) New Building Certificate

(C) National Building Committee

(D) National Bar Council

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[ 29 ]

{H$gr g^mJ¥h Ho$ {bE, {ZåZ ‘| go H$m¡Z go nXmW© H$s AÀN>o ldU JwU Ho$ {bE g§ñVw{V H$s OmVr h¡? (A) dwS> n¡ZoqbJ (B) {d{Q´>’$mB©S> Q>mBëg (C) E³gnmoÁS> {~«H$ (D) ‘oQ>b erQ> H$m¡Z go àmB‘ar a§J h¢? (A) bmb, nrbm, ham (B) bmb, nrbm, Zrbm (C) ham, Zma§Jr, Zrbm, (D) bmb, Zma§Jr, Zrbm Ama.gr.gr. H$m ³¶m VmËn¶© h¡? (A) aoJwba gr‘|Q> H§$H«$sQ> (B) [aB§’$mog©S> gr‘|Q> H§$H«$sQ> (C) [aB§’$mog©S> H§$H«$sQ> H$ånmo{OQ> (D) aoJwba ³bmg H§$H«$sQ> gr.Amo.Eo. H$m ³¶m VmËn¶© h¡? (A) Ho$Q>oJar Am°’$ Egmo{gEQ²>g (B) ³bmg Am°’$ Am{H©$Q>o³Q²>g (C) H$m¢{gb Am°’$ Am{H©$Q>o³Ma (D) H${‘Q>r Am°’$ Am{H©$Q>o³Q²>g E°Z.~r.gr. H$m ³¶m VmËn¶© h¡? (A) Z¡eZb {~pëS>¨J H$moS> (B) Ý¶y {~pëS>¨J g{Q>©{’$Ho$Q> (C) ZoeZb {~pëS>¨J H°${‘Q>r (D) Z¡eZb ~ma H$m¢{gb

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097.

UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

Who is the Architect of Guggenheim

097.

(A) Frank Loyd Wright

JJZh¢‘ å¶w{g¶‘, {~ë~mAmo, ñnoZ H$m dmñVw{dY H$m¡Z h¡? (A) ’«¢$H$ bm°B©S> amBQ>

(B) Deniel Lebinskind

(B)

S>o{Z¶b boq~pñH$ÊS>

(C) Frank Ghery

(C)

’«¢$H$ Koar

(D) Philip Johnson

(D)

{’${bn Om|gZ

098.

Which Architect adopted the phrase

098.

Museum in Bilbao Spain?

(A) Norman Foster

dm³¶m§e "bog Bg ‘moa' H$mo {H$g dmñVw{dY Zo AnZm¶m? (A) Zm‘©Z ’$moñQ>a

(B) Walter Gropius

(B)

dmëQ>a J«wnr¶g

(C) Charles Corea

(C)

Mmëg© H$mo[a¶m

(D) Meis Van Der Rohe

(D)

‘rg doZ S>a amoho

099.

Where is Mehrangarh fort located?

099.

‘ohamZJ‹T> {H$bm H$hm± pñWV h¡?

(A) Jaipur

(B) Jodhpur

(A)

O¶nwa

(B)

OmoYnwa

(C) Agra

(D) Gwalior

(C)

AmJam

(D)

½dm{b¶a

100.

Which

is

100.

H$m¡Z gm nwañH$ma dmñVwH$bm go gå~pÝYV h¡?

architecture?

(A)

~wH$a àmBµO

(A) Booker Prize

(B)

kmZnrR> AdmS>©

(B) Jnanpith Award

(C)

AmJm ImZ AdmS>©

(C) Aga Khan Award

(D)

nw{bËµOa àmBµO

(D) Pulitzer Prize

'LESS IS MORE' in architecture?

4 - DD ]

award

associated

with

[ 30 ]

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

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[ 31 ]

H$ÀMo H$m‘ Ho$ {b¶o OJh

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UPSEE 2017 Paper 4 Questions SET DA, DB, DC, DD

SPACE FOR ROUGH WORK /

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H$ÀMo H$m‘ Ho$ {b¶o OJh

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