sample-test-paper-2013

7/28/2019 Sample-Test-Paper-2013

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CODE : A PAGE NO. # 1

Q.1 A trianglehasarea 30, one sideof length10, and

the median to that side of length 9. Let betheacute angle formed bythat sideand the median.The valueof sin, is

(A)10

3(B)

3

1

(C)20

9(D)

3

2

Q.2 LetP units betheincreaseinthecircumference of

a circleresultingfrom anincrease inunitsin the

diameter. Then Pequals

(A) (B)2

2

(C) 2 (D) 2

Q.3 Let side AD of convex quadrilateralABCD be

extended through D,and letside BCbeextended

through C, tomeet inpoint E.LetS represent the

degree sum ofangles CDE and DCE,and let S'

represent the degree sum of angles BAD and

ABC.Ifr= 'SS then

(A) r = 1

(B) r = 1 sometimes, r > 1 sometimes

(C) 0 < r < 1

(D) r > 1

Q.4 If a b, a3 b3 = 19x3 and a b = x.The conclusionthat is correct, is

(A) a = 3x (B) a = 3x or a = 2x

(C) a = 3x or a = 2x (D) a = 3x or a = 2x

Q.5 Consider the list of the numbers as : 2, 0, 1, 3, 0,

3, 3, 1, 2. Which statement about the mean,

median and mode is true?

(A) median < mean < mode

(B) mean < mode< median

(C) mean< median < mode

(D) median < mode< mean

Q.1 ,d f=Hkqt dk {ks=Qy30 gSA ,d Hkqtk dh yEckbZ 10gS rFkk bl Hkqtk dh ekf/;dk dh yEckbZ 9 gSA bl

Hkqtk ,oa ekf/;dk }kjk cuk;k x;k dks.k U;wu dks.kgS] rks sin dk eku gS

(A)10

3(B)

3

1

(C)20

9(D)

3

2

Q.2 ekuk ,d o`k dh ifj/kh esa P bdkbZ dh of) djus ijifj.kker% O;kl esa bdkbZ dh o`f) gksrh gS] rks P

cjkcj gS

(A) (B)2

2

(C) 2 (D) 2

Q.3 ekuk mky prqHkqZtABCD dh HkqtkAD dks Dls vkxsc


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Q.6

cosec1

sec1

cos1

sin1wherever defined

simplifiesto

(A) cot (B) tan (C) sin (D) cos

Q.7 Let m an odd whole number and let n be any

whole number. Which one of the following

statementsabout thewhole number (m2 + mn) is

always true?

(A) it isevenonly ifn iseven

(B) it isodd onlyifn iseven

(C) it is always odd

(D) it isalways even

Q.8 If 8 + 12 = 2, 7 + 14 = 3 then 10 + 18 = ?

(A) 10 (B) 4

(C) 6 (D) 18

Q.9 The expression

(sin x)1/2 cos x (sinx)5/2 cos x

is equal to

(A) sec5x tan3x (B) cos3x xsin

(C) cos2x xsin 21

(D) cos3x sin3x

Q.10 A and B walks from X to Y, a distance of

27 km at 5kmph and 7 kmph respectively.

B reaches Y andimmediatelyturns back meeting

A at Z. The distance from X to Z, is

(A) 25 km (B) 22.5 km

(C) 24 km (D) 20 km

Q.11 Two numbers have the ratio 3 : 4.If 4 isaddedto

each of the numbers the resulting ratio is 4 : 5.

The sum ofthe numbers is(A) 28 (B) 24

(C) 16 (D) 12

Q.12 The value of 4y2/3 + 3y2/3 + 2y1/3 + 5y1/3

when y = 8 equals

(A) 14 (B) 21

(C) 22 (D) 24

Q.6

cosec1

sec1

cos1

sin1dks ljy djus ij gS

(A) cot (B) tan (C) sin (D) cos

Q.7 ekuk m ,d fo"ke iw.kZ la[;k gS rFkk ekuk n dksbZ iw.kZla[;k gSA iw.kZ la[;k (m2 + mn) ds fy;s fuEu esa lsdkSuls dFku lnSo lR; gS?(A) ;g le gS dsoy ;fnn le gS(B) ;g fo"ke gS dsoy ;fnn le gS(C) ;g lnSo fo"ke gS(D) ;g lnSo le gS

Q.8 ;fn 8 + 12 = 2, 7 + 14 = 3 gS] rks 10 + 18 = ?

(A) 10 (B) 4(C) 6 (D) 18

Q.9 O;atd(sin x)1/2 cos x (sin x)5/2 cos x

cjkcj gS

(A) sec5x tan3x (B) cos3x xsin

(C) cos2x xsin 21

(D) cos3x sin3x

Q.10 A rFkk B, X ls Y dh n wjh 27 km dks e'k%5fd-eh-@?k.Vk ,oa 7 fd-eh-@?k.Vk dh xfr ls r;djrs gSA B, Y ij igqpdj ihNs ?kqerk gS vkSjA dks Zij feyrk gS] rks X ls Z dh nwjh gS(A) 25 km (B) 22.5 km

(C) 24 km (D) 20 km

Q.11 nks la[;kvksa dk vuqikr3 : 4 gSA ;fn izR;sd la[;k eas4 tksM+k tk;s rks ifj.kkeh vuqikr4 : 5 gS] rks la[;kvksadk ;ksxQy gS(A) 28 (B) 24

(C) 16 (D) 12

Q.12 4y2/3 + 3y2/3 + 2y1/3 + 5y1/3 dk eku gS] tcfdy = 8 gS] gksxk(A) 14 (B) 21

(C) 22 (D) 24


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Q.18 Points M and N are the middle points of the

sides PA and PB of a triangle PAB as shown,

where P moves along a line lwhich is parallel to

thebaseAB.Considerthefollowingfourquantities,

lP

M N

A B

(i) the lengthof the segment MN

(ii) the perimeter of the triangle PAB

(iii) the areaof the trianglePAB

(iv) the areaof the trapeziumABNM

Number of theabovementionedquantitieswhichwould changeasP moves, is

(A) 0 (B) 1

(C) 2 (D) 3

Q.19 Two different prime numbers between 4 and 18

are chosen. When their sum is subtracted from

their product, then the numbers that could be

obtained, is

(A) 60 (B) 119

(C) 180 (D) 230

Q.20 The medianof the list

n ,n +3 ,n +4 ,n +5 ,n +6 ,n +8 ,n +1 0 ,n +1 2 ,

n + 15 is 10. The value of the meanis

(A) 6 (B) 7

(C) 10 (D) 11

Q.21 A number x is 2 more than the product of its

reciprocal and its additive inverse. The number

lies intheinterval from

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

Q.22 The sum of two realnumbers is S.Suppose 3 is

added to each number and then each of the

resulting numbers is doubled, then thesumof the

final twonumbersis

(A) 3S + 2 (B) 3S + 6

(C) 2S + 6 (D) 2S + 12

Q.18 fcUnq M ,oa N n'kkZ;s x;s ,d f=Hkqt PAB dhHkqtkvksa PArFkkPB ds e/; fcUnq gSA tgk Pjs[kk ldsvuqfn'k xfr djrk gS tks fd vk/kkj AB ds lekUrj gSAfuEu pkj jkf'k;ksa ij fopkj dhft;sA

lP

M N

A B

(i) js[kk[k.M MN dh yEckbZ(ii) f=Hkqt PAB dk ifjeki(iii) f=HkqtPAB dk {ks=Qy(iv) leyEc prqHkqZt ABNM dk {ks=Qy gS

ij nh xbZ jkf'k;ksa esa ls mu jkf'k;ksa dh la[;k] tks Pdh xfr ls ifjofrZr gksrh gS] gksxh(A) 0 (B) 1

(C) 2 (D) 3

Q.19 4 ,oa 18 ds e/; nks fHkUu&fHkUu vHkkT; la[;kvksa dkp;u fd;k tkrk gSA tc muds ;ksx dks muds xq.kuQyesa ls ?kVk;k tkrk gS] rks izkIr la[;k gS(A) 60 (B) 119

(C) 180 (D) 230

Q.20 lwphn ,n +3 ,n +4 ,n +5 ,n +6 ,n +8 ,n +1 0 ,n +1 2 ,

n + 15 dh ekf/;dk 10 gS] rks ek/; dk eku gS(A) 6 (B) 7

(C) 10 (D) 11

Q.21 ,d la[;k x blds O;qRe ,oa blds ;ksT; izfrykse dsxq.kuQy ls 2 vf/kd gS] rks la[;k fuEu esa ls fdlvUrjky esa fLFkr gS(A) 4 ls 2 esa (B) 2 ls 0 esa(C) 0 ls 2 esa (D) 2 ls 4 esa

Q.22 nks okLrfod la[;kvksa dk ;ksx Qy S gSA ekuk izR;sdla[;k esa 3 tksM+k tkrk gS rFkk izR;sd ifj.kkeh la[;kdks nqxquk fd;k tkrk gS] rks bl izdkj izkIr nksuksa

la[;kvksa dk ;ksxQy gS(A) 3S + 2 (B) 3S + 6

(C) 2S + 6 (D) 2S + 12


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Q.23 The maximum number of possible points of

intersection ofa circleand a triangle is

(A) 3 (B) 4

(C) 5 (D) 6

Q.24 Two non-zero real numbers, a and b, satisfy

ab = a b. The possible value of the expression

E = aba

b

b

a , is

(A) 2 (B)2

1

(C)2

1(D) 2

Q.25 Through a point on the hypotenuse of a right

triangle,lines aredrawnparallel to thelegs of thetriangle so that thetriangle isdivided into a square

and two smallerright triangles.The areaofone of

the twosmallrighttrianglesis m times theareaof

the square. The ratio ofthe areaoftheother small

triangle tothe areaof the square is

(A)1m2

1

(B)m

(C)m4

1(D) 2

m8

1

Q.26 When the decimal point of a certain positive

decimal numberismoved fourplacesto the right,

the new numberis four times the reciprocal of the

original number.Theoriginalnumber, is

(A) 0.0002 (B) 0.002

(C) 0.002 (D) 0.02

Q.27 Both roots of the quadratic equation

x2 63x + k = 0 are primenumbers. the number

ofpossible valuesof k is

(A) 0 (B) 1

(C) 2 (D) 3

Q.28 Given that ab ac = 0, xb xd = 0 and c < d.

Which ofthe following mustbetrue?

(A) x = 0 (B) a = 0

(C) xa = 0 (D) b = c

Q.23 ,d o`k ,oa ,d f=Hkqt ds izfrPNsnu ds laHko fcUnqvksadh vf/kdre la[;k gS(A) 3 (B) 4

(C) 5 (D) 6

Q.24 nks v'kwU; OkkLrfod la[;k;s a a ,oa b lehdj.k

ab = a b dks l ar q"V djr s g S] r ks O;atd

E = aba

b

b

a dk laHko eku gS

(A) 2 (B)2

1

(C)2

1(D) 2

Q.25 ,d ledks.k f=Hkqt ds d.kZ ds ,d fcUnq ls f=Hkqt ds

iknksa ds lekUrj js[kk;sa [khaph tkrh gS ftlls f=Hkqt,d oxZ ,oa nks NksVs ledks.k f=Hkqtksa esa foHkkftr gkstkrk gSA nksuksa NksVs ledks.k f=Hkqtksa esa ls ,d dk{ks=Qy oxZ ds {ks=Qy dkm xquk gSA vU; NksVs f=Hkqtds {ks=Qy dk oxZ ds {ks=Qy ls vuqikr gS

(A)1m2

1

(B)m

(C)m4

1(D) 2m8

1

Q.26 tc ,d fuf'pr /kukRed n'keyo la[;k ds n'keyofcUnq ds nkW;h vksj pkj LFkku xfr djus ij izkIr u;h

la[;k okLrfod la[;k ds O;qRe dk pkj xquk gS] rksokLrfod la[;k gS(A) 0.0002 (B) 0.002

(C) 0.002 (D) 0.02

Q.27 f}?kkr lehdj.k x2 63x + k = 0 ds nksuksa ewyvHkkT; la[;k;sa gS] rks kds laHko eku gS

(A) 0 (B) 1(C) 2 (D) 3

Q.28 fn;k x;k gS fdab ac = 0, xb xd = 0 rFkkc < d gS] rks fuEu esa ls dkSulk vo'; gh lR; gS?(A) x = 0 (B) a = 0

(C) xa = 0 (D) b = c


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Q.29 If two real numbershave a sumof8 and a product

of14, then the sum oftheir reciprocals, is

(A)7

4(B)

7

5

(C)

7

2(D)

7

3

Q.30 A squareofarea 40 is inscribed ina semicircleas

shown.The area of the semicircle, is

(A) 15 (B) 25(C) 40 (D) 50

Q.31 Let a and b are the roots of the equation

x2 mx + 2 = 0. Suppose that a +b

1andb+

a

1

are the roots of the equation x2 px + q = 0.

Thevalue ofq is

(A)2

5(B)

2

7

(C) 4 (D)2

9

Q.32 There are two valuesofa for which the equation

4x2 + ax + 8x + 9 = 0 has only one solution for x.

The sum of these valuesofa, is

(A) 16 (B) 8

(C) 8 (D) 20

Q.33 Numberof twodigit prime numbers inwhich both

digitsareprimenumbers, is

(A) 4 (B) 5

(C) 8 (D) 15

Q.34 You own thirteenpairs of socks,all different and

allofthesocksareindividuallyjumbledinadrawer.

One morning yousearchhaphazardlythrough the

drawer and continue to pull out socks until you

havea matchingpair. Howmanysocksmust you

pull outto guarantee havinga matchingpair?

(A) 3 (B) 12

(C) 13 (D) 14

Q.29 ;fn nks okLrfod la[;kvksa dk ;ksx 8 ,oa xq.kuQy14gS] rks muds O;qReksa dk ;ksxQy gS

(A)7

4(B)

7

5

(C)

7

2(D)

7

3

Q.30 {ks=Qy 40 dk ,d oxZ fp=kuqlkj ,d v)Zo`k dsvUrfuZfgr gS] rks v)Zo`k dk {ks=Qy gS

(A) 15 (B) 25(C) 40 (D) 50

Q.31 ekuka rFkk b lehdj.k x2 mx + 2 = 0 ds ewy gSA

ekuk a +b

1,oa b +

a

1lehdj.k x2 px + q = 0

ds ewy gS] rks q dk eku gS

(A)2

5(B)

2

7

(C) 4 (D)2

9

Q.32 a ds nks eku gS ftuds fy;s lehdj.k4x2 + ax + 8x + 9 = 0 dk x ds fy;s dsoy ,d gygS] rks a ds bu ekuksa dk ;ksxQy gS(A) 16 (B) 8

(C) 8 (D) 20

Q.33 nks vadks dh vHkkT; la[;kvksa dh la[;k] ftuesa nksuksavad vHkkT; la[;k;sa gS] gksxh(A) 4 (B) 5

(C) 8 (D) 15

Q.34 vkids ikl rsjg tksM+h eksts gS] lHkh fHkUu&fHkUu gS rFkklHkh eksts vyx&vyx njkt esa fc[kjs gq, gSA ,d losjsvki tYnckth esa njkt ls eksts fudkyuk izkjEHk djrsgS tc rd dh vkids ikl esafpax tksMk ugh vk tkrkgS] rks fuf'pr :i ls esfpax tksM+s ds fy;s vkids fdruseksts vo'; gh fudkyus iM+sxs(A) 3 (B) 12

(C) 13 (D) 14


7/17


Q.35 A jeweler has a 20gramringthat is60%goldand

40% silver. He wants to melt it down and add

enough gold to make it 80% gold. Number of

grams ofgold there should beadded, is

(A) 8 grams (B) 12 grams

(C)16 grams (D)20 grams

Q.36 If sin x + cos x =2

1, then the value of

(sin3x+cos3x), is

(A)16

5(B)

8

3

(C)8

5(D)

16

11

Q.37 Whichone of thefollowingidentityis dependenton(A) (sin + cos )2 + (cos sin )2

(B) sin2 (1 + cot )+cos2 (1+tan2 )(C) (1 + cot + cosec ) (1 + cot cosec )

(D)

22 cosec1

1

sin1

1

Q.38 If 3x2 +10x+3=(ax+b)(x+3)then(a2 + b2)

equals

(A) 10 (B) 9

(C) 8 (D) 4

Q.39 Suppose that 0 < 0

(C) a 1(D) a 0

Q.42 ekukp = sin x + cos x gS] rks O;atd(sin4x+cos4x)p ds inksa esa gS

(A)42 p

2

1p

2

1 (B)

42 p2

1p

2

1

(C)2

pp

2

11

42 (D)

2

pp

2

11

42

Q.43 lehdj.k x = (2 x) x dks larq"V djus okyhokLrfod la[;kvksa dh la[;k gS(A) 0 (B) 1

(C) 2 (D) 3

Q.44 ,d oxZ dks nks leku vk;rksa esa dkVk tkrk gS] izR;sddk ifjeki 36 gS] rks oxZ dk {ks=Qy gS(A) 36 (B) 100

(C) 144 (D) 196

Q.45 dks.k iwjd gksrs gS ;fn mUgs tksM+us ij 90 gSA ekukA, B dk ukS xquk gS rFkkB dk iwjd A dsiwjd dk ukS xquk gS] rks B gS

(A) 6 (B) 8(C) 9 (D) 10


9/17


Q.46 Three discsA,B and C are touchingeach other.

If A is rotated, B and C also start rotating.A is

rotated clockwise, then

A B C

(A) Both B and C rotate clockwise.(B) Both B and C rotate anticlockwise.

(C) B rotates clockwise and C rotates

anticlockwise

(D) B rotates anticlockwise and C rotates

clockwise

Q.47 A block of mass 120 g moves with a speed of

6.0 m/s on a frictionaless horizontal surfacetowards another block ofmass 180 g keptat rest.

They collide and the first block stops. Find the

speed of the other block after the collision.

(A) 1 m/s (B) 2 m/s

(C) 3 m/s (D) 4 m/s

Q.48 Neglecting the effect of air resistance a stone

dropped off a 180 m high building lands on the

groundin:

(A) 3 s (B) 4 s(C) 6 s (D) 18 s

Q.49 The standard 1 k g mass is attached to a

compressed spring and the spring is released. If

themass initi all y has an acceleration of 5.6m/s2,

the force ofthe springhas a magnitudeof:

(A) 2.8 N (B) 5.6 N

(C) 11.2N (D) 0

Q.50 Which of the following bodies has the largest

kineticenergy?

(A) Mass 3M and speed V

(B) Mass 2M and speed 3V

(C) Mass 3M and speed 2V

(D) Mass M and speed 4V

Q.51 The mechanicaladvantage ofanymachineis-

(A)theefficiencyof themachine

(B) the work done bythe machine

(C) the ratio of the work donebythe machine to

the work expended on it

(D) the ratio of the force exerted bythemachine

to the force applied to it

Q.46 rhu pdfr;k A, BoC ,d nwljs dks Li'kZ dj jgh gSaA;fn A dks ?kqek;k tkrk gS rks B oC Hkh ?kw.kZu djukizkjEHk dj nsrh gSaA Anf{k.kkorZ fn'kk esa ?kw.kZu djrh gS]

rks

A B C

(A) B oC nksuksa nf{k.kkorZ fn'kk esa ?kw.kZu djrh gSaA(B) B oC nksuksa okekorZ fn'kk esa ?kw.kZu djrh gSaA(C) B nf{k.kkorZ ?kw.kZu djrh gS rFkk C okekorZ ?kw.kZudjrh gSA(D) B okekorZ ?kw.kZu djrh gS rFkk C nf{k.kkorZ ?kw.kZudjrh gS

Q.47 ,d ?k"kZ.kghu {kSfrt lrg ij 120g nzO;eku dk ,d

CykWd fojke ij fLFkr180g nzO;eku ds nwljs CykWd dhvksj6.0 m/s pky ls xfr djrk gSA muesa VDdj gksrhgS rFkk igyk CykWd :d tkrk gSA VDdj ds i'pkr~nwljs CykWd dh pky Kkr dhft;sA(A) 1 m/s (B) 2 m/s

(C) 3 m/s (D) 4 m/s

Q.48 ok;q izfrjks/k ds izHkko dks ux.; ekurs gq;s ,d180 mph ehukj ls ,d iRFkj dks fxjkus ij mlds /kjkry

rd igqpus esa fy;k x;k le; gS &

(A) 3 s (B) 4 s(C) 6 s (D) 18 s

Q.49 ekud1 kg nzO;eku dks ,d laihfM+r fLizax ls la;ksftrfd;k tkrk gS rFkk fLizax dks eqDr dj fn;k tkrk gSA;fn nzO;eku izkjEHk esa 5.6m/s2 Roj.k j[krk gS] rksfLizax ds cy dk ifjek.k gS&(A) 2.8 N (B) 5.6 N

(C) 11.2N (D) 0

Q.50 fuEu esa ls dkSulh oLrq vf/kdre xfrt tkZ j[krh gS\(A) 3M nzO;eku rFkk V pky okyh(B) 2M nzO;eku rFkk3V pky okyh(C) 3M nzO;eku rFkk2V pky okyh(D) M nzO;eku rFkk4V pky okyh

Q.51 fdlh e'khu dk ;kaf=d ykHk gS &(A) e'khu dh n{krk(B) e'khu }kjk fd;k x;k dk;Z(C) e'khu }kjk fd, x, dk;Z ,oa bl ij O;f;r dk;Zdk vuqikr

(D) e'khu }kjk yxk;s x, cy ,oa bl ij vjks fir cydk vuqikr


10/17


Q.52 Suitableunits for the gravitational constantG are:

(A)kgm/s2 (B) m/s2

(C) Ns/m (D) m3/(kgs2)

Q.53 An object at the surfaceofEarth (at a distanceR

fromthe centerofEarth)weighs90N.Its weight

ata distance3Rfromthe center ofEarth is:

(A) 10 N (B) 90 N(C) 270 N (D) 810 N

Q.54 The pressure exerted on the ground bya man is

greatestwhen:

(A) hestands with both feet flaton the ground

(B) hestandsflatonone foot

(C) hestands on the toes ofone foot

(D) heliesdownonthe ground

Q.55 A wood board floats in fresh water with 60%of

its volumeunder water. The densityof the wood

ing/cm3 is:

(A) 0.4 (B) 0.5

(C) 0.6 (D) less than 0.4

Q.56 In the diagram below shows a water wave. The

interval PQrepresents:

P Q

Displacement

(A)wavelength (B) wavelength/2

(C) 2 amplitude (D) time period/2

Q.57 What value of Z (atomic number) and A (mass

number) result in thefollowinggammadecay?

XCA

Z

12

6

(A) Z = 5 ; A = 12 (B) Z = 4 ; A = 8

(C) Z = 7 ; A = 12 (D) Z = 6 ; A = 12

Q.58 A thermometer indicates 98.6C. It may be:

(A) outdoors ona cold day

(B) in a comfortableroom

(C) in a cup of hot tea

(D) in a normal persons mouth

Q.52 xq:Rokd"kZ.k fu;rkad G ds fy;s mi;qDr bdkbZ gS :(A)kgm/s2 (B) m/s2

(C) Ns/m (D) m3/(kgs2)

Q.53 iFoh dh lrg(iFoh ds dsUnz ls Rnwjh ij) ij ,d oLrqdk Hkkj90 N gSA i`Foh ds dsUnz ls 3Rnwjh ij bldk

Hkkj gS:

(A) 10 N (B) 90 N

(C) 270 N (D) 810 N

Q.54 ,d O;fDr }kjk /kjkry ij vkjksfir nkc vf/kdregksrk gS] tc :(A)og vius nksuksa iSjksa dks /kjkry ij likV j[krs gq;s[kM+k gksrk gSA(B)og vius ,d iSj dks likV j[krs gq;s [kM+k gksrk gSA(C) og vius ,d iSj dh vaxqfy;ksa ij [kM+k gksrk gSA(D) og /kjkry ij uhps ysV tkrk gSA

Q.55 'kq) ikuh esa ydM+h dk ,d cksMZ vius vk;ru dk60%ikuh ds vUnj j[krs gq, rSjrk gSA ydM+h dk ?kuRo(g/cm3)esa gS :(A) 0.4 (B) 0.5

(C) 0.6 (D) 0.4 ls de

Q.56 uhps n'kkZ, x, vkjs[k esa ,d ty rjax iznf'kZr gSAvUrjkyPQ iznf'kZr djrk gS :

P Q

foLFkkiu

(A)rjaxnS/;Z (B)rjaxnS/;Z/2(C) 2 vk;ke (D) vkorZdky/2

Q.57 fuEu xkek {k; esa Z (ijek.kq ekad) o A (nzO;ekula[;k) ds eku D;k izkIr gksrs gSa \

XC AZ126(A) Z = 5 ; A = 12 (B) Z = 4 ; A = 8

(C) Z = 7 ; A = 12 (D) Z = 6 ; A = 12

Q.58 ,d rkiekih98.6C n'kkZrk gSA ;g rkieku gks ldrkgS&(A) lnhZ ds fnuksa esa ckgj dk(B) ,d vkjkenk;d d{k dk(C) ,d di xeZ pk; dk(D) ,d lkekU; O;fDr ds eq[k dk


11/17


Q.59 If distancebetween the objectand lensisequal to

distance between its image and this lens. Find

where the object is located.

(A) at 2F from lens (B) at F from lens

(C) at 3F from lens (D) at 4F from lens

Q.60 Whatisthevalueof inthefollowingraydiagram?

PF C

25

(A) 12.5 (B) 25

(C) 50 (D) 37.5

Q.61 Choose the correctstatement relatedto the image

formedbya planemirror.

(A)Aplanemirroralwaysformadiminishedimage.

(B) The image formed bya plane mirrormay be

magnifiedordiminished.

(C) The image formedbya plane mirrorisalways

unmagnifiedbutinverted.

(D) The imageformedbya planemirrorisalways

unmagnified anderect.

Q.62 A student writesone ofthe steps ofthesolutionas

S = 3t +2

1 5t2. He is most likely solving a

problemrelated to

(A) Kinematics (B) Magnetism

(C) Optics (D) Ohm's law

Q.63 A wellcut diamond appears brightbecause

(A) itemitslight

(B) it is radioactive

(C)oftotal internal reflection

(D)of dispersion

Q.64 The nearand far pointsofhuman eye are

(A) 25cmand infinite

(B) 50 cm and 100 cm

(C) 25 cm and 50 cm

(D) 0 cm and 25 cm

Q.59 ;fn oLrq o ySUl ds e/; dh nwjh blds izfrfcEc o blySUl ds e/; nwjh ds cjkcj gS] rks Kkr dhft;s fd oLrqdgk j[kh gS \(A) ySUl ls 2F ij (B) ySUl ls F ij(C) ySUl ls 3F ij (D) ySUl ls 4F ij

Q.60 fuEu fdj.k fp= esa dk eku D;k gS \

PF C

25

(A) 12.5 (B) 25

(C) 50 (D) 37.5

Q.61 ,d lery niZ.k }kjk fufeZr izfrfcEc ls lEcfU/kr lghdFku pqfu;sA(A) lery niZ.k ges'kk ,d NksVk izfrfcEc cukrk gSA(B) lery niZ.k }kjk fufeZr izfrfcEc vkof/kZr ;kNksVk gks ldrk gSA(C) lery niZ.k }kj k fufeZr i zfrfcEc lnkv&vkof/kZr fdUrq mYVk gksrk gSA(D) lery niZ.k }kjk fufeZr i zfrfcEc lnkv&vkof/kZr o lh/kk gksrk gSA

Q.62 ,d Nk= gy ds ,d in dks S = 3 t + 2

1

5t

2

ds :iesa fy[krk gSA mlds vf/kdre lEHkkouk fdlls

lEcfU/kr iz'u dks gy djus dh gS \(A) xfrdh (B) pqEcdRo(C) izdkf'kdh (D) vkse dk fu;e

Q.63 ,d HkyhHkkafr dVk gqvk ghjk pednkj fn[kkbZ nsrk gSD;ksafd(A) ;g izdk'k dk mRltZu djrk gSA(B) ;g jsfM;ks,fDVo gksrk gSA

(C) iw.kZ vkUrfjd ijkorZu ds dkj.k(D) fo{ksi.k ds dkj.k

Q.64 ekuo uS= ds fudV o nwj fcUnq gSa&(A) 25 cm rFkk vuUr(B) 50 cm rFkk100 cm(C) 25 cm rFkk50 cm(D) 0 cm rFkk25 cm


12/17


Q.65 The surface area of a concentrator type solar

heater is 5 m2. Itcan reflect 80% ofsolar radiation

incident on it while it absorbs the rest.Calculate

theenergy concentratedbytheheaterat its focus

in 2 hours. If solar energywere delivered to it at

the rateof 0.4 kJ/m2s.

(A) 11520 KJ (B) 13610 KJ(C) 2880 KJ (D) 14400 KJ

Q.66 What is the resistance between A and B in the

givennetwork ?

A

B

8

63

(A) 8 (B) 10(C) 12 (D) 14

Q.67 Two bulbs (of 100 W and 200 W) have been

connected in parallel and 220 VACfed to them

from common port.Which bulb will have more

current flowingthroughit?

(A) bulb of 200 W

(B) both willhavesame current

(C) bulbof 100 W

(D) cannot say

Q.68 A verticalwire is carrying current in the upward

direction. Then thedirection ofmagnetic field in

the westdirectionwillbe

(A) towards south (B) towards east

(C) towards west (D) towards north

Q.69 A charged particle moving in a magnetic field

experiencesa resultant force

(A) in the directionoffield(B) in the direction opposite to thatof field

(C)in thedirectionperpendiculartoboth thefield

anditsvelocity

(D) noneof the above

Q.70 Which ofthe following isnota partofACelectric

generator ?

(A)rotatingcoil

(B)stationarybrushes

(C)magnetproducingmagneticfield

(D)split ring typecommutator

Q.65 ,d dsfUnzr (concentrator) izdkj ds lkS;Z rkid(heater) dk i"B {kS=Qy5 m2 gSA ;g bl ij vkifrr80% lkS;Z fofdj.k dks ijkofrZr dj ldrk gS tcfd'ks"k dks vo'kksf"kr dj ysrk gSA rkid }kjk blds Qksdlij2 ?k.Vs esa dsfUnzr tkZ dh x.kuk dhft;sA ;fn lkS;ZtkZ 0.4 kJ/m2s dh nj ij bls iznku dh xbZ gksA

(A) 11520 KJ (B) 13610 KJ(C) 2880 KJ (D) 14400 KJ

Q.66 fn;s x;s usVodZ esa AoB ds e/; izfrjks/k D;k gS ?

A

B

8

63

(A) 8 (B) 10(C) 12 (D) 14

Q.67 nks cYcksa (100 W o200 W ds) dks lekUrj esa tksM+kx;k gS rFkk mUgSa mHk;fu"B lzksr ls 220 V AC iznkudh xbZ gSA dkSuls cYc ls vf/kd /kkjk izokfgr gksxh \(A) 200 W ds cYc ls(B) nksuksa esa /kkjk leku gksxh(C) 100 W ds cYc ls

(D) dqN ugha dgk tk ldrk

Q.68 ,d /oZ rkj ij dh fn'kk esa /kkjk izokfgr dj jgk gS]rks if'pe fn'kk esa pqEcdh; {kS= dh fn'kk gksxh(A) nf{k.k dh vksj (B) iwoZ dh vksj(C) if'pe dh vksj (D) mkj dh vksj

Q.69 pqEcdh; {kS= esa xfreku ,d vkosf'kr d.k ,d ifj.kkehcy vuqHko djrk gS &

(A) {kS= dh fn'kk esa(B) {kS= ds foijhr fn'kk esa(C) {kS= o blds osx nksuksa ds yEcor~ fn'kk esa(D) mijksDr esa ls dksbZ ugha

Q.70 fuEu esa ls dkSulkAC fo|qr tfu= dk Hkkx ugha gS \(A) ?kw.kZu dq.Myh(B) fLFkj cz'k(C) pqEcdh; {kS= mRiUu djus okyk pqEcd

(D) fonj oy; izdkj dk dE;wVsVj


13/17


Q.71 Tyndall effect is related to

(A)atmosphericrefraction

(B)scattering

(C)reflection

(D)dispersion

Q.72 Select the correct statement(A)An electricmotor converts mechanicalenergy

intoelectricalenergy.

(B)An electricgenerator works on the principle

ofelectromagneticinduction.

(C)The magnetic field linesoriginate from North

pole ofmagnet.

(D)Awire with a green insulation is usually the

live wireofan electric supply.

Q.71 fV.My izHkko fdlls lEcfU/kr gS \(A) ok;qe.Myh; viorZu(B) izdh.kZu(C) ijkorZu(D) fo{ksi.k

Q.72 lgh dFku pqfu;s&(A) ,d fo|qr eksVj ;kaf=d tkZ dks fo|qr tkZ esacnyrh gSA(B) ,d fo|qr tfu= fo|qr pqEcdh; izsj.k ds fl)kUrij dk;Z djrk gSA(C)pqEcdh; {kS= js[kk;sa pqEcd ds mkjh /kzqo ls fudyrh gSaA(D) gjs dqpkyd vkoj.k okyk rkj lkekU;r;k fo|qr

lIykbZ dk lf; rkj gksrk gSA

Q.73 Which ofthefollowing willhavethefastest rateof

diffusion?

(A) Smell ofhot cooked food

(B) Smell ofcold food

(C)Liquid water

(D) Ice

Q.74 Whichofthefollowingoptionswerenot identified

as a Dobereiner triad?

(A) N, P,As (B) Li, Na, K

(C) Ca, Sr, Ba (D) Cl, Br, I

Q.75 If P,Q,R,S represents four elements in periodic

table with the following information regarding

group andperiod towhichtheybelong, then select

thecorrect option.

Information :

P : Group no. 2,period no. 5

Q : Group no. 1, period no. 6

R : Group no. 16, period no. 2

S : Group no. 17, periodno. 2

(A) P > Q > S > R is the order of atomic size(B) P is metal, Q & R are metalloids and S is

nonmetal.

(C) Q > P > R > S is the order of size.

(D) R & S aremetals and P & Q are nonmetals

Q.73 fuEu e sa l s fdlds folj.k dh nj lok Zf /kdgksxh ?(A) xeZ ids gq, Hkkstu dh xa/k(B) B.Ms Hkkstu dh xa/k(C) o ty(D) cQZ

Q.74 fuEu esa ls fdl fodYi dks Mkscfjuj f=d }kjk ughale>k;k tk ldk?(A) N, P,As (B) Li, Na, K

(C) Ca, Sr, Ba (D) Cl, Br, I

Q.75 ;fnP,Q,R,S vkorZ lkj.kh esa pkj rRoksa dks fuEu lewgrFkk vkorZ ftuls os lEcfU/kr gS] lwpukvksa ls fu:firdjrs gS] rks lgh fodYi dk p;u djsaAl wpuk:P : oxZ la[;k2, vkorZ la[;k5Q : oxZ la[;k1, vkorZ la[;k6R : oxZ la[;k16, vkorZ la[;k2S : oxZ la[;k17, vkorZ la[;k2(A) P > Q > S > Rijek.kq vkdkj dk e gSA

(B) P /kkrq gS] Q rFkkRmi/kkrq rFkk S v/kkrq gSA(C) Q > P > R > S vkdkj dk e gSA(D) RrFkkS /kkrq gS ,oa P rFkkQ v/kkrq gSA


14/17


Q.76 What will be the number of electrons in the 'M'

shell ofanelementwhose massnumberis58and

has30 neutrons.

(A) 18 (B) 14

(C) 16 (D) 12

Q.77 Identify correct set ofTrue (T) & False (F)statements :

(I) Solution becomescolourless when excessof

potassium permanganate is added to warm

ethanol.

(II)Solution ofglacialaceticacidwillhaveahigher

pH as compared to HCl solution having same

concentration.

(III) Copper sulphate crystals when exposed to

moistureturns blue.

(A) FTT (B) TTT

(C) FFT (D) TFF

Q.78 Anelement 'X' existsas two isotopes XA

and XB

havingatomicmasses20u and22u.If theaverage

atomic mass is 20.046 then incorrect statement

willbe:

(A)Percentabundance ofXA

ismoreascompared

to XB.

(B) Percent abundance of XB

is 2.3%.

(C) Percent abundance of XA

is 97.7%.

(D)All theoptions are incorrect.

Q.79 20g of sugar is dissolved in 80 gm of water if

density of solution is 1.2 gm/ml then calculate

mass by volumepercentage of solution.

(A) 25% (B) 20%

(C) 16.67% (D) 10%

Q.80 Which ofthe following is not a puresubstance?

(A)Hydrochloricacid (B)Milk

(C) Fluorne (D) Gold

Q.81 An organic compound consists of carbon,

hydrogenandoxygen. Ifratio of masses is12:3:8

respectively then what will be its emperical

formula.

(A) C12

H3O

8(B) C

2H

6O

(C) C3H

6O (D) C

2H

6

Q.82 Which of the following oxidescan produce H2O

by reactions with NaOHas well as HCl?

(A) ZnO (B) K 2O

(C) CO2

(D) CO

Q.76 ,d rRo ds 'M' dks'k e sa bysDVkWuks dh la[;k D;kgksxh] ftldh O;eku la[;k 58 rFkk U;wVkWu 30gSA(A) 18 (B) 14

(C) 16 (D) 12

Q.77 lgh (T) rFkk xyr (F) dFkuksa ds lgh leqPp; dksigpkfu, :(I) tc xeZ ,FksukWy esa ikSVsf'k;e ijeSaXusV dk vkfkD;feyk;k tkrk g S rks foy;u j axghu gks tkrkgSA(II) XySf'k;y ,lhfVd vEy ds foy;u dk pHleku

lkark okys HCl foy;u dh rqyuk esa mPp gksrkgS(III) dkWij lYQsV fLVyksa dks ueh eas [kqyk NksMusa ij

og uhyk gks tkrk gSA(A) FTT (B) TTT

(C) FFT (D) TFF

Q.78 ,d rRo 'X' nks leLFkkfudksa XA

rFkk XB

ds :i esamifLFkr gS ftlds ijek.kq O;eku 20u rFkk22u gSA;fn vkSlr ijek.kq O;eku 20.046 gS rks xyr dFkugksxk:(A) X

Bdh rqyuk esa X

Adh fr'kr miyC/krk vf/kd

gSA(B) X

Bdh fr'kr miyC/krk 2.3% gSA

(C) XA

dh fr'kr miyC/krk97.7%.

(D) lHkh fodYi xyr gS A

Q.79 20g 'kdZjk dks 80 gm ty esa foys; fd;k x;k] ;fnfoy;u dk ?kuRo1.2 gm/ml gS rks foy;u ds O;ekudh vk;ru fr'kr esa x.kuk dhft, \(A) 25% (B) 20%

(C) 16.67% (D) 10%

Q.80 fuEu esa ls dkSulk 'kq) inkFkZ ugha gSA ?(A) gkbMksDyksfjd vEy (B) nw/k

(C) yksjhu (D)Lo.kZ (lksuk)

Q.81 ,d dkcZfud ;kSfxd esa dkcZu] gkbMkstu rFkk vkWDlhtugSA ;fn O;ekuksa ds vuqikr e'k% 12 : 3 : 8 gS rksbldk ewykuqikrh lw= D;k gksxk?

(A) C12

H3O

8(B) C

2H

6O

(C) C3H

6O (D) C

2H

6

Q.82 fuEu esa ls dkSulk vkWDlkbMNaOHrFkkHCl ds lkFkvfHkf;k djds H

2O nsrk gS ?

(A) ZnO (B) K 2O

(C) CO2

(D) CO


15/17


Q.83 Consider the following set-up for checking

conductanceofthesolution.Whichofthefollowing

samples willnot cause glow in the bulb?

NailsolutionRubber cork

Beaker

SwitchBulb

6V Battery

(A) Rain water

(B)Ethanol solution

(C)dil. Sulphuricacid solution

(D)Brinewater

Q.84 Fromthe followinginformation identify 'C'.

OrganicAcid (A) +Alcohol (B)CGiven that 'A' is third member of homologous

series ofcarboxylic acidand Bissecond member

ofhomologousseriesofalcohol.

(A) CH C O CH CH CH3 2 2 3

O

(B) CH2

= CH2

(C) CH3

CH2

CH = CH2

(D) CH CH C O CH CH3 2 2 3

O

Q.85 Whichofthefollowingwillhavemaximummass?

(A) 1 moleofnitrogen molecule.

(B) 1/2 moleofoxygen molecule.

(C) 1/2 moleofO3

molecule.

(D) 1/4mole ofsodium sulphate.

Q.86 If Thomson's model of an atomwere to be true,

thenwhatwouldbetheresultsofRutherford'sGoldfoilexperiment.

(A)Allthe-particleswouldhavepassedthroughthefoilwithoutmuchdeviation.

(B) Most of the -particles would have passedthrough without muchdeviation.

(C) Noneof the-particles would pass throughtheatom.

(D) Both (A) and (B)

Q.83 foy;u dh pkydrk dks Kkr djus ds fy, fuEuO;oLFkk ij fopkj dhft,A fuEu fn, x, uewuksa esa lsfdl ds }kjk cYc ugh tysxk?

NailsolutionRubber cork

Beaker

SwitchBulb

6V Battery

(A) o"kkZ ty(B) ,FksukWy foy;u(C) ruq lY;wfjd vEy foy;u(D) vR;Ur [kkjkczkbu ty

Q.84 fuEu vkdM+ksa }kjk 'C' dks igpkfu,

dkcZfud vEy(A) + ,YdksgkWy (B) Cfn; kx; kgS 'A' dkcksZfDlfyd vEy ds ltkr Js.khdk rhljk lnL; gS rFkk B ,YdksgkWy ds ltkr Js.khdk nwljk lnL; gSA

(A) CH C O CH CH CH3 2 2 3

O

(B) CH2

= CH2

(C) CH3

CH2

CH = CH2

(D) CH CH C O CH CH3 2 2 3

O

Q.85 fuEu es ls fdldk O;eku lokZf/kd gksxk?(A) 1 eksy ukbVkstu v.kq(B) 1/2 eksy vkWDlhtu v.kq(C) 1/2 eksy vkstksu (O

3) v.kq

(D) 1/4 eksy lksfM;e lYQsV

Q.86 ;fn Fkk Welu dk ijek.kq fr:i lgh gks ] rks

jnjQksMZ ds Lo.kZ iUuh ;ksx dk ifj.kke D;k gksaxs

(A) lHkh-d.k vf/kd fopfyr gq, fcuk iUuh lsgksdj xqtj tk,saxsA(B) vf/kdka'k -d.k fcuk vf/kd fopyu ds xqtjsaxs

(C) dksbZ Hkh -d.k ijek.kq ls gksdj ugha xqtjsxk

(D) (A) rFkk(B) nksuksaA


16/17


Q.87 Which ofthe following reactions withO2(g) isan

endothermic reaction?

(A) N2

+ O2 2NO(g)

(B) C(s) + O2 CO

2(g)

(C) H2

+ 1/2O2 H

2O(l)

(D) CO(g) + O2(g) CO

2(g)

Q.88 A solutionofmetal nitrate 'A' isadded toreddish

brown metal 'B'. In the reaction a blue coloured

compoundisformedalongwith metal.Themetal

in 'A' whenexposed to air turns black. Which of

thefollowingoptions is correct?

(A) 'A' is Cu(NO3)2

and 'B' isAg

(B) 'C' is Cu(NO3)2

and 'A' is Mg(NO3)2

(C) 'B' isAg and 'A' isAgNO3

(D) 'B' is Cu and 'A' isAgNO3

Q.89 Identify the incorrect statement regardingisotopes, isobarsand isoelectronic species:

(A)19

K40 and20

Ca40 are isobars andhence their

chemical propertiesaredifferent.

(B) Ne, F, Na+ and Al+3 are isoelectronic and

Al+3 is the smallest of these four.

(C) Noneof the isotopes ofhydrogen consist of

neutron.

(D) If an element has no isotopes, then mass of

theatomwould beapproximatelysameasthesum

ofprotons and neutronsin it.

Q.90 Whichofthefollowinggasisprimarilyresponsible

forextinguishingfire insoda-acidfireextinguisher?

(A) H2

(B) CO2

(C) H2O (D) CO

Q.87 fuEu esa ls dkSulh vfHkf;k,sa O2(g) ds lkFk "ek'kks"kh

vfHkf;k gS ?(A) N

2+ O

2 2NO(g)

(B) C(s) + O2 CO

2(g)

(C) H2

+ 1/2O2 H

2O(l)

(D) CO(g) + O2(g) CO

2(g)

Q.88 ,d /kkfRod ukbVsV dk foy;u 'A' yky Hkwjs /kkrq 'B'esa feyk;k x;kA vfHkf;k esa ,d uhys jax dk ;kSfxd/kkrq ds lkFk kIr gqvkA 'A' esa mifLFkr /kkrq ok;q ds

lEidZ esa vkus ij dkyk gks tkrk gSA fuEu esa ls dkSulkfodYi lgh gS ?(A) 'A' Cu(NO

3)2

gS rFkk 'B' Ag gSA(B) 'C' Cu(NO

3)2

gS rFkk 'A' Mg(NO3)2

gSA(C) 'B' Ag gS rFkk 'A'AgNO

3gSA

(D) 'B' Cu gS rFkk 'A' AgNO3

gSA

Q.89 leLFkkfud] leHkkfjd rFkk lebysDVkWfud Lih'kht dslanHkZ esa xyr dFku dks igpkfu, :(A)

19K40 rF kk

20Ca40 leH kk fjd rF kk blds

jklk;fud xq.k fHkUu gS(B) Ne, F, Na+ rFkkAl+3 lebysDVkWfud gS rFkkAl+3 bu pkjksa esa lcls NksVk gSA(C) gkbMkstu ds fdlh Hkh leLFkkfud esa U;wVkWu ughagksrk gSA(D) ;fn fdlh rRo dk dksbZ leLFkkfud ugha gksrk gS]

rks ijek.kq dk O;eku blesa mifLFkr ksVkWuksa rFkk

U;wVkWu ds ;ksx ds yxHkx gksxkA

Q.90 lksMk&vEy vfXu 'kked esa fuEu esa ls dkSulh xSlkFkfed rkSj ij vfXu 'keu ds fy, mkjnk;h gksrh gS?(A)H

2(B) CO

2

(C) H2O (D) CO


17/17


ANSWER KEY (BULLS EYE-15-04-2012)

Q.1 D Q.2 C Q.3 A Q.4 B Q.5 C Q.6 B Q.7 B

Q.8 A Q.9 B Q.10 B Q.11 A Q.12 D Q.13 D Q.14 A

Q.15 A Q.16 C Q.17 B Q.18 B Q.19 B Q.20 D Q.21 C

Q.22 D Q.23 D Q.24 D Q.25 C Q.26 D Q.27 B Q.28 C

Q.29 A Q.30 B Q.31 D Q.32 A Q.33 A Q.34 D Q.35 D

Q.36 D Q.37 C Q.38 A Q.39 C Q.40 B Q.41 C Q.42 AQ.43 C Q.44 C Q.45 C Q.46 D Q.47 D Q.48 C Q.49 B

Q.50 B Q.51 D Q.52 D Q.53 A Q.54 C Q.55 C Q.56 B

Q.57 D Q.58 C Q.59 A Q.60 C Q.61 D Q.62 A Q.63 C

Q.64 A Q.65 A Q.66 B Q.67 A Q.68 A Q.69 C Q.70 D

Q.71 B Q.72 B Q.73 A Q.74 A Q.75 C Q.76 C Q.77 A

Q.78 D Q.79 C Q.80 B Q.81 B Q.82 A Q.83 B Q.84 D

Q.85 D Q.86 C Q.87 A Q.88 D Q.89 C Q.90 B

sample-test-paper-2013

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