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PAGE # 19 CAREER POINT, email:[email protected] Website: www.careerpointgroup.com INSTR UCTIONS T O CANDID A TES 1. Attempt all questions. 2. The question paper has Four sections viz. Physics, Chemistry, Mathematics & Logical Aptitude. 3. Each section consists of following sections : (a) Short write ups followed by Objective Questions. (b) Objective Questions not based on write ups. 4. F our alternatives have been given with each of the objective questions. You have to select the single correct alternative. Each correct answer carries three marks. 5. There is No negative marking and no deduction will be made for WRONG attempt. 6. The answer sheet is supplied with this question paper and you are advised to indicate your answer on this Answer Sheet only. 7. Rough work should be done only on the blank spaces provided. Extra paper will not be supplied. 8. Logarithm table will not be supplied. Use of calculators, slide rule is not permitted. 9. There are different types of questions, you will find special direction for each set of questions. Be sure you have understood the direction before attempting to answer any question. 10. Do not spend too much time on questions that are difficult for you. Go on the other questions and come back to the difficult ones later. 11. Before you start marking your answer, write your Name at the top of the answer sheet. 12. Do not help your neighbour in your own interest. FOUND FOUND FOUND FOUND FOUNDATION COURSE FOR IIT TION COURSE FOR IIT TION COURSE FOR IIT TION COURSE FOR IIT TION COURSE FOR IIT-JEE JEE JEE JEE JEE (For Class X to XI moving Students) [Time : 03:00 Hrs.] [Maximum Marks : 300] Name............................................................................Roll Number................................................

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Page 1: Career Point Papers

Space for Rough Work

PAGE # 19CAREER POINT, email:[email protected] Website: www.careerpointgroup.com

SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

INSTRUCTIONS TO CANDIDATES

1. Attempt all questions.

2. The question paper has Four sections viz. Physics, Chemistry, Mathematics & Logical Aptitude.

3. Each section consists of following sections :

(a) Short write ups followed by Objective Questions.

(b) Objective Questions not based on write ups.

4. Four a l terna t ives have been g iven wi th each o f the ob jec t ive ques t ions . You have to se lec tthe single correct alternative. Each correct answer carries three marks.

5. There is No negative marking and no deduction will be made for WRONG attempt.

6. The answer sheet is supplied with this question paper and you are advised to indicate your answer on this AnswerSheet only.

7. Rough work should be done only on the blank spaces provided. Extra paper will not be supplied.

8. Logarithm table will not be supplied. Use of calculators, slide rule is not permitted.

9. There are different types of questions, you will find special direction for each set of questions. Be sure you haveunderstood the direction before attempting to answer any question.

10. Do not spend too much time on questions that are difficult for you. Go on the other questions and come back to thedifficult ones later.

11. Before you start marking your answer, write your Name at the top of the answer sheet.

12. Do not help your neighbour in your own interest.

FOUNDFOUNDFOUNDFOUNDFOUNDAAAAATION COURSE FOR IITTION COURSE FOR IITTION COURSE FOR IITTION COURSE FOR IITTION COURSE FOR IIT-----JEEJEEJEEJEEJEE(For Class X to XI moving Students)

[Time : 03:00 Hrs.] [Maximum Marks : 300]

Name............................................................................Roll Number................................................

Page 2: Career Point Papers

CAREER POINT, email:[email protected] Website: www.careerpointgroup.com

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PAGE # 20

SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

PART : 1 PHYSICSEach correct answer carries three marks.Passage 1.(Q.No. 1 to 5)

Archimedes principle applies to fluids. It states :"When a body is partly or wholly immersed in a fluid(liquid or gas) at rest, it undergoes an apparent loss inthe weight which is equal to the weight of the fluiddisplaced by the body."According to the principle of floatation, when a bodyfloats in a liquid, its weight is equal to the weight of theliquid displaced by it. If the volume of the floating bodyis V, its density D, the volume of the portion of the bodyimmersed in the liquid v and density of the liquid d, then

V × D = v × dBased on above passage answer the following questions :

Q.1 Two bodies have the same weight in a liquid. Then–(a) their densities must be same(b) their volumes must be same(c) their masses must be same(d) none of these

Q.2 A boat of mass 650 kg floats on water. What volume ofwater does it displace ?(a) 0.65 m3 (b) 6.50 m3

(c) 6.50×103 m3 (d) 0.65 × 102 m3

Q.3 What volume of alcohol (density = 0.75 g cm–3) isdisplaced by a cork of mass 4.2 g which floats in it–(a) 5.6 cm3 (b) 6.2 cm3

(c) 7.8 cm3 (d) 8.4 cm3

Q.4 A cork of density 250 kg m–3 floats in a liquid with one-third of its volume below the surface of the liquid. Whatis the density of the liquid ?(a) 750 kgm–3 (b) 820 kgm–3

(c) 860 kgm–3 (d) 940 kgm–3

Q.5 A body floating in oil always displaces its own–(a) volume of oil (b) weight of oil(c) surface area of oil (d) depth of oil

izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gSx|ka'k 1.(iz- l- 1 ls 5)

vkfdZfeMht dk fl¼kUr rjyksa ij ykxw gksrk gSA blds vuqlkj:"tc ,d oLrq vkaf'kd ;k iw.kZ :i ls fojke rjy (nzo ;k xSl) esaMwch gqbZ gks] rks blds Hkkj esa deh izrhr gksrh gS tks fd oLrq kjkgVk;s x;s rjy ds Hkkj ds cjkcj gksrh gSA"rSjus ds fl¼kUr ds vuqlkj] tc ,d oLrq ,d nzo esa rSjrh gS] rksbldk Hkkj blds kjk gVk;s x;s nzo ds Hkkj ds cjkcj gksrk gSA ;fnrSjrh gqbZ oLrq dk vk;ru V gks] bldk ?kuRo D gks, nzo esa Mwcs gq,blds Hkkx dk vk;ru v rFkk nzo dk ?kuRo d gks, rks

V × D = v × d

mijksDr x|ka'k ds vk/kkj ij fuEu iz'uks a ds mÙkj nhft,%

Q.1 nks oLrqvksa dk ,d nzo esa Hkkj leku gS] rks –(a) muds ?kuRo leku gksaxs(b) muds vk;ru leku gksaxs(c) muds nzO;eku leku gksaxs(d) buesa ls dksbZ ugha

Q.2 650 kg nzO;eku dh ,d uko ikuh ij rSjrh gSA ikuh ds fdrusvk;ru dks ;g foLFkkfir djsxh ?(a) 0.65 m3 (b) 6.50 m3

(c) 6.50×103 m3 (d) 0.65 × 102 m3

Q.3 ,sYdksgkWy (?kuRo = 0.75 g cm–3) dk fdruk vk;ru 4.2 g nzO;ekuds dkWdZ kjk foLFkkfir gksrk gS] tks blesa rSjrk gS–(a) 5.6 cm3 (b) 6.2 cm3

(c) 7.8 cm3 (d) 8.4 cm3

Q.4 250 kg m–3 ?kuRo dk ,d dkWdZ ,d nzo esa bl izdkj rSjrk gS fdblds vk;ru dk ,d frgkbZ nzo dh lrg ds uhps jgrk gSA nzo dk?kuRo D;k gS ?(a) 750 kgm–3 (b) 820 kgm–3

(c) 860 kgm–3 (d) 940 kgm–3

Q.5 rsy esa rSjrh gqbZ dksbZ oLrq lnSo foLFkkfir djrh gS vius –(a) vk;ru dk rsy (b) Hkkj dk rsy(c) i`"B ks=kQy dk rsy (d) xgjkbZ dk rsy

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PAGE # 21CAREER POINT, email:[email protected] Website: www.careerpointgroup.com

SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Following Questions are not based on passage :(Each correct answer carries three marks)

Q.6 A ball is thrown vertically upwards. Neglecting the airresistance, the velocity time graph of the ball during it'stime of flight will be -

(a)

t

v

(b)

t

v

(c) t

v

(d)

t

v

Q.7 Light year is the unit of –(a) intensity of light (b) time(c) distance (d) velocity of light

Q.8 A train passes an electric pole in 8 second and a bridgeof length 1 km in 108 seconds. The speed of the engineis –(a) 10 ms–1 (b) 12 ms–1

(c) 8 ms–1 (d) 5 ms–1

Q.9 If 10 gm of ice at 0°C is mixed with 10g of water at10°C, the final temperature t is –(a) –35°C (b) –10°C(c) 5°C (d) 0°C

Q.10 In the circuit shown in fig, the ammeter ‘A’ reads 5amperes and the voltmeter ‘V’ reads 20 volt. The correctvalue of resistance R is :

(a) exactly 4Ω(b) slightly greater than 4Ω(c) slightly less than 4Ω(d) zero

fuEu iz'u x|ka'k ij vk/kkfjr ugha gS :(izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gS)Q.6 ,d ckWy dks Å/okZ/kj Åij dh vksj Qs adk tkrk gSA ok;q

izfrjks/k dks ux.; ekurs gq, mM+ku dky ds nkSjku ckWy dk osx le;xzkQ gksxk -

(a)

t

v

(b)

t

v

(c) t

v

(d)

t

v

Q.7 izdk'k o"kZ fdldh bdkbZ gS –(a) izdk'k dh rhozrk (b) le;(c) nwjh (d) izdk'k dk osx

Q.8 ,d Vsªu 8 lsd.M esa ,d fctyh ds [kEHks ls xqtjrh gS rFkk 1 kmyEckbZ ds ,d iqy dks 108 lsd.Mksa esa ikj djrh gSA batu dh pkygksxh –(a) 10 ms–1 (b) 12 ms–1

(c) 8 ms–1 (d) 5 ms–1

Q.9 ;fn 0°C ij 10g cQZ dks 10°C okys 10 g ikuh ds lkFk feyk;ktkrk gS] rks vafre rki t gksxk –(a) –35°C (b) –10°C(c) 5°C (d) 0°C

Q.10 fp= esa fn[kk;s x;s ifjiFk esa vehVj ‘A’, 5 ,sfEi;j i<rk gS] rFkkoksYVehVj ‘V’, 20 volt i<+rk gSA izfrjks/k R dk lgh eku gksxk :

(a) Bhd 4Ω(b) 4Ω ls FkksM+k vf/kd(c) 4Ω ls FkksM+k de(d) 'kwU;

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.11 Sound travels in the form of–

(a) transverse wave

(b) longitudinal waves

(c) stationary waves

(d) transverse and longitudal waves

Q.12 Wavelength range 4 × 10–7 m to 7 × 10–7 m belongs to–(a) ultraviolet rays (b) gamma rays(c) visible light (d) x-rays

,Q.13 A body starts from rest and moves with a uniformacceleration of 10 ms–2 in the first 10 sec. During thenext 10 seconds it moves with the uniform velocityattained. The total distance covered by it is –

(a) 2000 m (b) 1000 m(c) 1500 m (d) 500 m

Q.14 Vessels (A) and (B) have the same base area but differentshapes. Both are filled with water up to the same height(fig). The thrust on the base will be -

(A) (B)

(a) more in (A)(b) more in (B)(c) equal in both (A) & (B)(d) indeterminate in both (A) & (B)

Q.15 A rocket in gravity-free space is burning5 × 102 kg of fuel per second. The exhaust gases areexpelled at 8 × 103 ms–1 relative to the rocket, whosemass is 4 × 105 kg at that time. Its accleration will be–(a) 10 ms–2 (b) 50 ms–2

(c) 2.5 × 104 ms–2 (d) 6.4 × 106 ms–2

Q.11 /ofu fdl :i esa lapfjr gksrh gS –

(a) vuqizLFk rjax

(b) vuqnS/;Z rjaxs

(c) vizxkeh rjaxs

(d) vuqizLFk o vuqnS/;Z rjax

Q.12 4 × 10–7 m ls 7 × 10–7 m ijkl dh rjax nS/;Z dgykrh gS –

(a) ijkcSaxuh fdj.ksa (b) xkek&fdj.k

(c) n`'; izdk'k (d) x-fdj.k

Q.13 ,d oLrq fojkekoLFkk ls 'kq: gksrh gS rFkk igys 10 lsd.M esa 10

ms–2 ds ,d leku Roj.k ls xfr djrh gSA vxys 10 lsd.Mksa rd

;g izkIr fd;s x;s ,d leku osx ls xfr djrh gSA blds kjk r;

dh xbZ dqy nwjh gksxh –(a) 2000 m (b) 1000 m(c) 1500 m (d) 500 m

Q.14 ik= (A) o (B) dk vk/kkj ks=Qy leku gS fdUrq vkd`fr;k¡ fHkUu

gSaA nksuksa dks ikuh ls leku Å¡pkbZ rd Hkjk x;k gSA (fp= ns[ksa)

vk/kkj ij iz.kksn gksxk -

(A) (B)

(a) (A) esa vf/kd

(b) (B) esa vf/kd

(c) nksuksa (A) o (B) esa leku

(d) nksuksa (A) o (B) esa vfu/kkZ;Z

Q.15 ,d jkWdsV xq:Roghu vkdk'k esa izfr lsd.M 5 × 102 kg bZ/ku tyk

jgk gSA jkWdsV ds lkisk 8 × 103 ms–1 dh nj ls xSlsa ckgj fudy

jgh gSaA jkWdsV dk ml le; nzO;eku 4 × 105 kg gSA bldk Roj.k

gksxk–(a) 10 ms–2 (b) 50 ms–2

(c) 2.5 × 104 ms–2 (d) 6.4 × 106 ms–2

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEEQ.16 The equivalent resistance of the portion of the circuit

between A & B in figure is –

(a) r (b) r/3 (c) 3r (d) 2r

Q.17 The planet Mercury revolves in an elliptical orbit aroundthe Sun (See Fig). The K.E. of Mercury is greatest at–

(a) K (b) L (c) M & N (d) P

Q.18 If the voltage applied to an immersion heater is doubled,the rate of rise of temperature will approximately be –(a) the same (b) double(c) halved (d) multiplied by four

Q.19 Which of the following remains unchanged when soundwaves are refracted at the air water interface ?(a) wavelength (b) speed(c) frequency (d) amplitude

Q.20 A body goes from A to B with a velocity of 40 ms–1 andcomes back to A with a velocity of 60ms–1. The averagevelocity for the total journey is –(a) zero (b) 48 ms–1

(c) 50 ms–1 (d) 100 ms–1

Q.21 The resistivity of eureka is 2.2 × 10–7 Ωm. The length ofa eureka wire of diameter 0.05 cm and of resistance 28Ωwill be –(a) 25 m (b) 20 m(c) 18 m (d) 16.5 m

Q.22 A 12 V car battery has an internal resistance of 0.2Ω.What potential difference must be applied across itsterminals by a battery charger in order that the chargingcurrent will be 5 A ?(a) 13 V (b) 12 V(c) 11.4 V (d) 10.6 V

Q.23 A myopic eye can be corrected by using a –(a) convex lens (b) concave lens(c) plane mirror (d) cylindrical lens

Q.16 fp= e s a fn[kk; s x; s ifjiFk d s Hk kx dk A o B dse/; rqY; izfrjks/k gksxk –

(a) r (b) r/3 (c) 3r (d) 2r

Q.17 cq/k xzg] lw;Z ds pkjks a vksj nh?kZo`Ùkkdkj dkk esa ?kwerk gS(fp= nsf[k,sa)A cq/k dh xfrt ÅtkZ dgk¡ ij vf/kdre gksxh –

(a) K (b) L (c) M o N (d) P

Q.18 ;fn ,d ghVj ij yxk;h xbZ oksYVrk dks nqxuk dj fn;k tk;s rksblds rki esa of¼ dh nj yxHkx gksxh –(a) mruh gh (b) nqxuh(c) vk/kh (d) pkj xquk

Q.19 fuEu esa ls dkSulh jkf'k vifjofrZr jgrh gS] tc /ofu rjaxsaok;q&ty dh vUrjkQyd ls viofrZr gksrh gS ?(a) rjax nS/;Z (b) pky(c) vko`fr (d) vk;ke

Q.20 ,d oLrq A ls B rd 40 ms–1 ds osx ls tkrh gS rFkk okil A ij 60ms–

1osx ls vkrh gSA dqy ;k=k ds fy, vkSlr osx gksxk –

(a) 'kwU; (b) 48 ms–1

(c) 50 ms–1 (d) 100 ms–1

Q.21 ;wjsdk dh izfrjks/kdrk 2.2 × 10–7 Ωm gSA 0.05 cm O;kl ,oa28Ω izfrjks/k ds ,d ;wjsdk rkj dh yEckbZ gksxh –(a) 25 m (b) 20 m(c) 18 m (d) 16.5 m

Q.22 12 V dh ,d dkj dh cSVjh dk vkarfjd izfrjks/k 0.2Ω gSA bldsfljksa ij ,d cSVjh vkos'kd kjk fdruk foHkokUrj vkjksfir fd;ktkuk pkfg, rkfd vkos'ku /kkjk 5 A gks tk;s ?(a) 13 V (b) 12 V(c) 11.4 V (d) 10.6 V

Q.23 ,d fudV n`f"V nks"k okyh vk¡[k dks fdlds kjk Bhd fd;k tkldrk gS –(a) mÙky ySUl (b) vory ySUl(c) lery niZ.k (d) csyukdkj ySUl

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.24 Absolute zero corresponds to –(a) –273°K (b) 273°C(c) –273°C (d) –273°F

Q.25 Two satellite of masses m1 and m2 (m1 > m2) are revolvinground the earth in circular orbit of radius r1 and r2 (r1 >r2) respectively. Which of the following statement is truefor their velocities v1 & v2 ?(a) v1 = v2 (b) v1 < v2

(c) v1 > v2 (d) 2

2

1

1

rv

rv =

Q.26 A broadcasting station transmits waves of frequency71 × 104 Hz with a speed of 3 × 108 ms–1. The wavelengthof the waves is –(a) 412. 8 m (b) 324.6 m(c) 208.4 m (d) 422.5 m

Q.27 The distance travelled by a freely falling body isproportional to the –(a) mass of the body(b) time of fall(c) square of the time of fall(d) square of the acceleration due to gravity

Q.28 The metal bob of a simple pendulum swing to and frowith simple harmonic motion. Which of the followingquantities does not become zero at any time throughoutthe oscillation ?(a) acceleration (b) momentum(c) kinetic energy (d) weight

Q.29 A body of mass 2 kg moves 30 m against a frictional forceof 100 N. If the work is completely converted into heat, theamount of heat expressed in joules will be –(a) 3000 J (b) 6000 J(c) 2000 J (d) 1500 J

Q.30 When 1 g of water at 373 K is converted into steam atthe same temperature, the approximate change in volumeis -(a) 1 cm3 (b) 1000 cm3

(c) 1670 cm3 (d) 3000 cm3

Q.24 ije rki cjkcj gksrk gS –(a) –273°K (b) 273°C(c) –273°C (d) –273°F

Q.25 m1 o m2 (m1 > m2) nzO;ekuksa ds nks mixzg iFoh ds pkjksa vksj Øe'k%f=T;k r1 o r2 (r1 > r2) dh oÙkh; dkkvksa esa pDdj yxk jgs gSaA fuEuesa ls muds osxksa v1 o v2 ds lEcU/k esa dkSulk dFku lR; gS \(a) v1 = v2 (b) v1 < v2

(c) v1 > v2 (d) 2

2

1

1

rv

rv =

Q.26 ,d izlkj.k LV s'ku 71 × 104 Hz vko`fr dh rj axk s a dk s3 × 108 ms–1 dh pky ls Hkstrk gSA rjaxksa dh rjax nS/;Z gS–(a) 412. 8 m (b) 324.6 m(c) 208.4 m (d) 422.5 m

Q.27 eqDr :i ls fxjrs gq, fi.M kjk r; dh xbZ nwjh fdlds lekuqikrhgS –(a) fi.M ds nzO;eku ds(b) fxjus esa yxs le; ds(c) fxjus esa yxs le; ds oxZ(d) xq:Roh; Roj.k ds oxZ

Q.28 ,d ljy yksyd dk /kkfRod xksyd ljy vkorZ xfr ds lkFkbnZ&fxnZ xfr djrk gSA nksyu ds nkSjku fdlh Hkh le; ij fuEuesa ls dkSulh jkf'k 'kwU; ugha gksxh ?(a) Roj.k (b) laosx(c) xfrt ÅtkZ (d) Hkkj

Q.29 2 kg nzO;eku dh ,d oLrq 100 N ds ?k"kZ.k cy ds fo:¼ 30 mrd xfr djrh gSA ;fn lEiw.kZ dk;Z] Å"ek es ifjofrZr gks tk;s rksÅ"ek dh twy esa O;Dr ek=k gksxh –(a) 3000 J (b) 6000 J(c) 2000 J (d) 1500 J

Q.30 tc 373 K ij 1 g ikuh leku rki ij Hkki esa :ikUrfjr gks tk;srks vk;ru esa yxHkx ifjorZu gksxk –(a) 1 cm3 (b) 1000 cm3

(c) 1670 cm3 (d) 3000 cm3

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Each correct answer carries three marks.

Passage 1.(Q.No. 1 to 5)

Cathode rays are a stream of particles, consisting ofelectrons, emerging from the cathode in a discharge tubeat low pressure. Electrons are negatively charged particleswith a mass 1/1840 that of a hydrogen atom. Proton isa fundamental paritcle with a positive charge and massequal to that of a hydrogen atom. A neutron is anotherfundamental particle with no charge but mass equal tothat of a hydrogen atom or proton. The sum of the numberof neutrons and protons in the nucleus of an atom of anelement is mass number. Total number of protons orelectrons in a neutral atom of an element is atomicnumber.

Q.1 An atom of an element has 10 electrons, 10 protons and12 neutrons. The atomic mass of the element is–(a) 32 (b) 22(c) 44 (d) 20

Q.2 The fluorescence on the walls of discharge tube is dueto (Cathode ray experiment) –(a) Cathode rays (b) X-rays(c) γ−rays (d) None of the above

Q.3 The charge carried by an electron is –(a) 1.602 × 10–7 coulombs(b) 1.602 × 10–9 coulombs(c) 1.602 × 10–19 coulombs(d) 1.76 × 10–11 coulombs

Q.4 The addition of a neutron to the nucleus of an atomresults in –(a) increase in nuclear charge(b) increase in atomic mass(c) formation of an isobar(d) none of above

Q.5 17Cl35 and 17Cl37 are example of(a) isobars (b) isotopes(c) isoelectronic atoms (d) None of these

PART : 2 CHEMISTRY

izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gSx|ka'k 1.(iz- l- 1 ls 5)

dSFkksM fdj.ksa bySDVªkWuksa ;qDr d.kksas dh /kkjk gS tks fd de nkc ijfoltZu uyh esa dsFkksM ls fudyrh gSA bySDVªku ½.kkosf'kr d.k gSftudk nzO;eku ,d gkbMªkstu ijek.kq dk 1/1840 gSA izksVksu Hkh,d /kukRed vkosf'kr ewy d.k gS ftldk nzO;eku ,d gkbMªkstuijek.kq ds cjkcj gSA U;wVªku ,d vU; ekSfyd d.k gS ftl ij dksbZvkos'k ugha gS ysfdu nzO;eku gkbMªkstu ijek.kq ds cjkcj gSA ,drRo ds ijek.kq ds ukfHkd esa mifLFkr U;qVªku rFkk izksVksuks dh la[;kdk ;ksx] nzO;eku la[;k dgykrh gSA ,d rRo ds mnklhu ijek.kq esaizksVksu ;k bySDVªkWuksa dh dqy la[;k ijek.kq la[;k dgykrh gSA

Q.1 ,d rRo ds ,d ijek.kq es a 10 bysDVªku] 10 izk sVk su rFkk 12U;qVªku gSA rRo dk ijek.kq nzO;eku gS –(a) 32 (b) 22(c) 44 (d) 20

Q.2 foltZu uyh dh fnokjksa ij izfrfnIrh dk dkj.k gS (dSFkksM+ fdj.kifjk.k esa) –(a) dSFkksM (b) X-fdj.ks(c) γ−fdj.ksa (d) buesa ls dksbZ ugha

Q.3 ,d bySDVªku dk vkos'k gS –(a) 1.602 × 10–7 dqyke(b) 1.602 × 10–9 dqyke(c) 1.602 × 10–19 dqyke(d) 1.76 × 10–11 dqyke

Q.4 ,d ijek.kq ds ukfHkd esa ,d U;qVªku dks tksMus ds ifj.kke Lo:i –(a) ukfHkdh; vkos'k c<+rk gS(b) ijek.kq nzO;eku c<+rk gS(c) ,d leHkkjhd dk fuekZ.k gksrk gS(d) buesa ls dksbZ ugha

Q.5 17Cl35 rFkk 17Cl37 gSa&

(a) leHkkfjd (b) leLFkkfud

(c) lebySDVªkfud ijek.kq (d) buesa ls dksbZ ugha

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Following Questions are not based on passage :(Each correct answer carries three marks)Q.6 The main constituent of natural gas is –

(a) methane (b) ethane(c) propane (d) butane

Q.7 Which of the following hydrocarbons has acidichydrogen?(a) CH4 (b) CH2 = CH2(c) HC ≡ CH (d) C6H6

Q.8 Which of the following elements must be present in anorganic compound ?(a) C (b) N(c) S (d) P

Q.9 Carnalite has the formula(a) KCl . MgCl2 . 6H2O (b) NaCl . MgCl2.6H2O(c) NaF (d) CaF2

Q.10 NH3 gas can be identified by –(a) the white fumes emitted when treated with HCl(b) the action on red litmus which changes to blue(c) its characteristic choking smell(d) all a, b and c

Q.11 Which of the following bonds has the highest energycontent –(a) —C—C—(b) —C=C—(c) —C≡C—(d) all of the above possess the same amount

Q.12 A catalyst is a substance which(a) alters the state of equilibrium(b) is required in large amounts to alter the state of

equilibrium(c) alters the speed of a reaction(d) none of the above

Q.13 The gas equation PV = nRT is derived from –(a) Boyle's law(b) charle's law(c) both a & b(d) Gay-Lussac's law

fuEu iz'u x|ka'k ij vk/kkfjr ugha gS :(izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gS)Q.6 izkd`frd xSl dk eq[; ?kVd gS –

(a) esFksu (b) ,Fksu(c) izksisu (d) C;wVsu

Q.7 fuEu esa ls fdl gkbMªksdkcZu esa vEyh; gkbMªkstu gS ?

(a) CH4 (b) CH2 = CH2(c) HC ≡ CH (d) C6H6

Q.8 fuEu esa ls dkSulk rRo ,d dkcZfud ;kSfxd esa mifLFkr gksuk

pkfg, ?(a) C (b) N(c) S (d) P

Q.9 dkusZykbV dk lw= gS(a) KCl . MgCl2 . 6H2O (b) NaCl . MgCl2.6H2O(c) NaF (d) CaF2

Q.10 NH3 xSl dks igpkuk tk ldrk gS –(a) tc HCl ls mipkfjr djrs gS rc lQsn /kwez fudyrs gaS(b) yky fyVel ij fØ;k tks bls uhys esa ifjofrZr djrh gS(c) bldh LokHkkfod xyk?kksVw xa/k ls(d) mijksDr a, b rFkk c

Q.11 fuEu esa ls fdl cU/k dh ÅtkZ dh ek=k vf/kdre gS –(a) —C—C—(b) —C=C—(c) —C≡C—(d) mijksDr lHkh dh ÅtkZ,sa leku gaS

Q.12 ,d mRizsjd ,d inkFkZ gS tks(a) lkE; dh voLFkk dks ifjofrZr djrk gS(b) lkE; dh voLFkk dks ifjofrZr djus ds fy, bldh vf/kd

ek=k dh vko';drk gksrh gSA(c) ;g vfHkfØ;k dh xfr dks ifjofrZr djrk gS(d) buesa ls dksbZ ugha

Q.13 xSl lehdj.k PV = nRT O;qRiUu gksrh gS –(a) ckW;y fu;e(b) pkYlZ fu;e(c) nksuks a rFkk b(d) xs&yqlkd dk fu;e

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEEQ.14 Dry ice is -

(a) steam(b) Ice at — 400°C(c) solidified CO2(d) Ice treated with anhydrous CaCl2

Q.15 A metal sulphate has the formula MSO4. A chloride ofthe same metal will have the formula -(a) M2Cl3 (b) M2Cl

(c) MCl2 (d) MCl

Q.16 A gas which obeys the gas laws is known as –(a) an ideal gas (b) a heavier gas(c) a lighter gas (d) a real gas

Q.17 Toluene has the structure

(a) (b)

(c) (d) None of these

Q.18 Liquefied petroleum gas consists mainly of –(a) methane, butane and propane(b) methane, ethane and hexane(c) ethane, hexane and nonane(d) none of these

Q.19 C2H4 and C2H2 are –(a) isomers (b) homologous(c) hydrocarbons (d) none of the above

Q.20 Which of the following is different from the others –(a) Chalk (b) lime stone(c) marble (d) Slaked lime

Q.21 The NH3 molecule has –(a) no lone pairs (b) one lone pair(c) two lone pairs (d) three lone pairs

Q.14 'kq"d cQZ gS -(a) Hkki(b) cQZ — 400°C ij(c) Bksl CO2(d) futZy CaCl2 ls mipkfjr cQZ

Q.15 ,d /kkrq lYQsV dk lw=k MSO4 gSA mlh /kkrq ds DyksjkbM dk lw=gksxk -(a) M2Cl3 (b) M2Cl(c) MCl2 (d) MCl

Q.16 ,d xSl tks fd xSl fu;eks dk ikyu djrh gS dgykrh gS–(a) ,d vkn'kZ xSl (b) ,d Hkkjh xSl(c) ,d gYdh xSl (d) ,d okLrfod xSl

Q.17 VkyqbZu dh lajpuk gS

(a) (b)

(c) (d) buesa ls dksbZ ugha

Q.18 nzfor isVªksfy;e xSl (LPG) esa eq[;r% gksrs gS –(a) esFksu] C;qVsu rFkk izksisu(b) esFksu] ,Fksu rFkk gsDlsu(c) ,Fksu] gsDlsu rFkk ukWusu(d) buesa ls dksbZ ugha

Q.19 C2H4 rFkk C2H2 gS –(a) leko;oh (b) letkr

(c) gkbMªksdkcZu (d) buesa ls dksbZ ugha

Q.20 fuEu esa ls dkSu nwljks ls fHkUu gS –(a) pkWd (b) pwuss dk iRFkj

(c) ekcZy (d) cq>k gqvk pwuk

Q.21 NH3 v.kq j[krk gS –(a) dksbZ ,dkdh ;qXe ugha (b) ,d ,dkdh ;qXe(c) nks ,dkdh ;qXe (d) rhu ,dkdh ;qXe

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.22 Which of the following properties is different for solids,liquids and gases ?(a) movement of molecules(b) particle size of the substance(c) mass of substance(d) energy exchanges

Q.23 Which of the following electronic configuration is wrong?(a) Be(3) = 2, 1 (b) O(8) = 2, 6(c) S(16) = 2, 6, 8 (d) P(15) = 2, 8, 5

Q.24 Which of the following solvent will dissolve an ioniccompound –(a) Benzene (b) Cyclohexane(c) Water (d) Ether

Q.25 The element with atomic number 15 is –(a) monovalent (b) bivalent(c) trivalent (d) tetravalent

Q.26 The acidity and alkalinity of a compound is representedon a scale known as –(a) pH scale (b) Hess's scale(c) Kelvin scale (d) none of these

Q.27 CuSO4 solution will turn –(a) Red litmus blue(b) blue litmus red(c) phenolphthalein(d) NaOH solution yellow

Q.28 Terylene is a polymer of –(a) an amide (b) an ester(c) an ether (d) acetylide

Q.29 The purest form of C is –(a) diamond (b) wood charcoal(c) coal (d) coffee

Q.30 In which of the following process CO2 is not emitted–(a) Respiration (b) Combustion(c) burning coke in air (d) Photosynthesis

Q.22 fuEu esa ls dkSulk xq.k Bkslks] nzoks rFkk xSlks esa fHkUu&fHkUu gS?(a) v.kqvksa dh xfr(b) inkFkZ ds d.k dk vkdkj(c) inkFkZ dk nzO;eku(d) ÅtkZ fofue;

Q.23 fuEu es ls dkSulk bySDVªkfud foU;kl xyr gS ?(a) Be(3) = 2, 1 (b) O(8) = 2, 6(c) S(16) = 2, 6, 8 (d) P(15) = 2, 8, 5

Q.24 fuEu es ls dkSulk foyk;d ,d vk;fud ;kSfxd dks ?kksysxk–

(a) csUthu (b) lkbDyks gsDlsu

(c) ty (d) bZFkj

Q.25 ijek.kq la[;k 15 okyk rRo gS –(a) ,d la;ksth (b) hla;ksth(c) f=la;ksth (d) prq% la;ksth

Q.26 ,d ;kSfxd dh vEyh;rk rFkk kkjdrk dks ,d iSekus ls iznf'kZrdjrs gS tks dgykrk gS–(a) pH Ldsy (b) gSl Ldsy(c) dsfYou Ldsy (d) buesa ls dksbZ ugha

Q.27 CuSO4 foy;u ifjofrZr djsxk –(a) yky fyVel dks uhys esa(b) uhys fyVel dks yky esa(c) fQukY¶Fksyhu(d) NaOH foy;u dks ihyk

Q.28 Vsfjyhu cgqyd gS –(a) ,d vekbM dk (b) ,d ,LVj dk(c) ,d bZFkj dk (d) ,flfVykbM

Q.29 dkcZu dk 'kq¼re :i gS –(a) ghjk (b) ydMh dk pkjdksy(c) dks;yk (d) dkWQh

Q.30 fuEu esa ls fdl izØe esa CO2 ugha fudyrh gS –(a) 'olu (b) ngu(c) dks;ys dks ok;q esa tykuk (d) izdk'k la'ys"k.k

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Each correct answer carries three marks.

Passage 1.(Q.No. 1 to 5)We define a set as a collection of well defined objects,known as elements.A set containing a finite number of elements is called afinite set, otherwise it is called an infinite set.Let A and B are two sets. Then(i) Difference A – B = x: x ∈ A, x ∉ B(ii) Cartesian product A × B = ((a, b): a ∈ A, b ∈ B)

n (A × B) = n(A) · n(B)A relation R from A to B is a non-empty subset ofA × B. It is called a ‘function’ if every element of A isrelated to some unique element of B.A relation ƒ from A to B is called a function from A to Bif no two ordered pairs of the relation have the same firstcomponent.On the basis of above passage answer the followingquestions:-

Q.1 If A = 1, 2, 3, B = 1, 2, 3, 4,then A– B is equal to–(a) 4 (b) φ(c) 1, 2, 3, 4 (d) None of these

Q.2 If A = 0, the number of elements in A × A is –(a) 0 (b) 1 (c) 2 (d) 3

Q.3 Which one of the following graphs represents a functionfrom A to B ?

izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gSax|ka'k 1.(iz- l- 1 ls 5)

ge ,d leqPp; dks ifjHkkf"kr djsaxs tks fd lqifjHkkf"kr oLrqvksa]ftUgs vo;o dgrs gSa] dk laxzg.k gSA,d leqPp; tks lhfer la[;k esa vo;o j[krk gS ifjfer leqPp;dgykrk gS] ugha rks ;g ,d vifjfer leqPp; dgykrk gSAekuk A rFkk B nks leqPp; gSa] rks(i) vUrj A – B = x: x ∈ A, x ∉ B(ii) dkrhZ; xq.ku A × B = ((a, b): a ∈ A, b ∈ B)

n (A × B) = n(A) · n(B)A ls B esa ,d laca/k R, A × B dk ,d vfjDr mileqPp; gksrk gSA;g Qyu^ dgykrk gS ;fn A dk izR;sd vo;o] B ds ,d vfrh;vo;o ls lacaf/kr gksAA ls B esa ,d laca/k ƒ, A ls B esa Qyu dgykrk gS ;fnlaca/k ds dksbZ Hkh nks Øfer ;qXe leku izFke vo;o u j[krs gksaA

fuEu x|ka'k ds vk/kkj ij fuEufyf[kr iz'uksa ds mÙkj nhft,:-

Q.1 ;fn A = 1, 2, 3, B = 1, 2, 3, 4,rks A– B cjkcj gSa –(a) 4 (b) φ(c) 1, 2, 3, 4 (d) buesa ls dksbZ ugha

Q.2 ;fn A = 0, rks A × A esa vo;oksa dh la[;k gS –(a) 0 (b) 1 (c) 2 (d) 3

Q.3 fuEu esa ls dkSulk ys[kkfp= A ls B esa ,d Qyu dks iznf'kZr djrkgS ?

PART : 3 MATHEMATICS

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEEQ.4 Which of the following sets is finite ?

(a) The set of the people living on earth(b) The set of natural numbers(c) The set of real numbers(d) None of these

Q.5 A relation from A to B is –(a) a subset of A × B(b) a superset of A × B(c) equal to A × B(d) not associated to A×B

Following Questions are not based on passage :(Each correct answer carries three marks)Q.6 Four triangles are formed by joining the midpoints of the

three sides of a triangle, then –(a) Two triangles are congruent(b) Three triangles are congruent(c) All are congruent(d) None are congruent

Q.7 In the adjoining figure, the sum of all the angles is equalto K right angles. K is equal to –

(a) 10 (b) 12(c) 14 (d) 16

Q.8 ƒ(x) = | x – 100 |, x∈R. The minimum value of ƒ(x) is–(a) 0 (b) 100

(c) 1000 (d) not defined

Q.4 fuEu esa ls dkSu lk leqPp; ifjfer leqPp; gS ?(a) i`Foh ij jgus okys O;fDr;ksa dk leqPp;(b) izkd`r la[;kvksa dk leqPp;(c) okLrfod la[;kvksa dk leqPp;(d) buesa ls dksbZ ugha

Q.5 A ls B esa ,d laca/k –(a) A × B dk ,d mileqPp; gSA(b) A × B dk ,d vf/k leqPp; gSA(c) A × B ds cjkcj gSA(d) A × B ls lacaf/kr ugha gSA

fuEu iz'u x|ka'k ij vk/kkfjr ugha gS :(izR;sd lgh mÙkj ds 3 vad fu/kkZfjr gS)

Q.6 ,d f=Hkqt dh rhu Hkqtkvksa ds e/; fcUnqvksa dks tksMdj pkj f=Hkqtcuk, x, gS] rks –(a) nks f=Hkqt lokZaxle gksaxs

(b) rhu f=Hkqt lokZaxle gksaxs

(c) lHkh lok±xle gksaxs

(d) dksbZ lok±xle ugha gksxk

Q.7 layXu fp= esa] lHkh dks.kksa dk ;ksx K ledks.kksa ds cjkcj gS] rks Kcjkcj gS –

(a) 10 (b) 12(c) 14 (d) 16

Q.8 ƒ(x) = | x – 100 |, x∈R, rk s ƒ(x) dk U; wure eku

gS –(a) 0 (b) 100(c) 1000 (d) vifjHkkf"kr

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.9 In the figure given below, find ∠QSR.

(a) 50° (b) 65°(c) 70° (d) 75°

Q.10 The sum of the squares of two consecutive even numbersis two more than two times the squares of their mean.This statement is –(a) never true(b) always true(c) true when the numbers are more than 100(d) true when the numbers are less than or equal to 100

Q.11 LCM of three numbers x, y, z is w. Then LCM of numbersy, z, w will be –(a) y (b) w(c) z (d) None of these

Q.12 The equation 3y2 + y + 4 = 2 (6x2 + x + 2) wherey = 2x, is satisfied by –(a) no value of x(b) all real values of x(c) x = 2 only(d) None of these

Q.13 A can do a piece of work in 15 days. B is 50% moreefficient than A. A and B together will finish the samepiece of work in –(a) 6 days (b) 9 days(c) 10 days (d) 12½ days

Q.14 A wire of length 50 cm is to be bent in the form of aparallelogram of area 50 cm2. Determine its dimensionsif the angle between two adjacent sides is 30°(a) 20 cm, 5 cm (b) 15 cm, 10 cm(c) 13 cm, 12 cm (d) 17 cm, 8 cm

Q.9 fn, x, fp= esa ∠QSR gS &

(a) 50° (b) 65°(c) 70° (d) 75°

Q.10 nks Øekxr le la[;kvksa ds oxksZa dk ;ksx muds ek/; ds oxZ ds

nksxqus ls nks vf/kd gksrk gSA ;g dFku–(a) dHkh lR; ugha gks ldrk

(b) lnSo lR; gSA

(c) lR; gksxk tc la[;k,as100 ls vf/kd gksaA

(d) lR; gksxk tc la[;k,sa ≤ 100 gksa

Q.11 rhu la[;kvksa x, y, z dk y-l-i w gS] rks la[;kvksa y, z, w dky-l-i- gksxk –(a) y (b) w(c) z (d) buesa ls dksbZ ugha

Q.12 lehdj.k 3y2 + y + 4 = 2 (6x2 + x + 2) tgk¡ y = 2x(a) x ds fdlh eku ls larq"V ugha gksrh(b) x ds lHkh okLrfod ekuksa ls larq"V gksrh gS(c) dsoy x = 2 ls larq"V gksrh gS(d) buesa ls dksbZ ugha

Q.13 A ,d dk;Z ds ,d Hkkx dks 15 fnuksa esa iwjk dj ldrk gSA B, A ls50% vf/kd dq'ky gSA A rFkk B dk;Z ds Hkkx dks ,d lkFk iwjkdjsaxs –(a) 6 fnuksa esa (b) 9 fnuksa esa(c) 10 fnuksa esa (d) 12½ fnuksa esa

Q.14 ,d 50 cm yEck rkj ,d lekUrj prqHkqZt ftldk ks=Qy50 cm2 gS] ds :i esa eksM+k x;k gSaA ;fn nks vklUu Hkqtkvksa ds e/;30° dk dks.k gks] rks vklUu Hkqtk,¡ gksaxh &(a) 20 cm, 5 cm (b) 15 cm, 10 cm(c) 13 cm, 12 cm (d) 17 cm, 8 cm

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.15 Find the value of x in the given figure –

(a) 30° (b) 35°(c) 40° (d) 45°

Q.16 If cos θ + sin θ = 2 cos θ, then cos θ – sin θ is equalto–(a) 2 sin θ (b) 2

(c) 2 – 1 (d) 2 + sin θ

Q.17 What percent of 8.25 m is 75 cm ?(a) 150/11% (b) 75/11%(c) 80/11% (d) 100/11%

Q.18 Which of the following represents the shaded portion inthe figure ?

y

O x

(a)

≤≤

0y0x

(b)

<≤

0y0x

(c)

≤<

0y0x

(d)

<<

0y0x

Q.19 The roots of the equation 2kx2 + 5kx + 2 = 0 are equalif k is equal to –(a) 0 (b) 1(c) 4/5 (d) 16/25

Q.15 fn, x, fp= esa x dk eku Kkr dhft, –

(a) 30° (b) 35°(c) 40° (d) 45°

Q.16 ;fn cos θ + sin θ = 2 cos θ,rks cos θ – sin θ cjkcj gS –

(a) 2 sin θ (b) 2

(c) 2 – 1 (d) 2 + sin θ

Q.17 8.25 m dk fdruk izfr'kr 75 cm gS ?(a) 150/11% (b) 75/11%(c) 80/11% (d) 100/11%

Q.18 fuEu esa ls dkSu Nk;kafdr fp= dks iznf'kZr djrk gS ?y

O x

(a)

≤≤

0y0x

(b)

<≤

0y0x

(c)

≤<

0y0x

(d)

<<

0y0x

Q.19 lehdj.k 2kx2 + 5kx + 2 = 0 ds ewy leku gksaxs ;fn k fuEu dscjkcj gks –(a) 0 (b) 1(c) 4/5 (d) 16/25

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.20 sec2θ = 2)yx(xy4

+ is true, –

(a) when x = y(b) when x < y(c) when x > y(d) for every value of x and y

Q.21 1ecAcosAcot1ecAcosAcot

+−−+

is equal to –

(a) AcosAsin1+

(b) AsinAcos1+

(c) Acos1Asin

+ (d) AsinAcos1−

Q.22 tan 50° – tan 40° is equal to –(a) tan 10° (b) 2 tan 10°(c) 1 (d) 2

Q.23 If ƒ(x) = tan2 x + cot2 x, the minimum value of ƒ(x)is–(a) 0 (b) 1(c) 2 (d) not defined

Q.24 In this figure, which one is true ?

(a) Ar∆(APS) = Ar∆(QRB)(b) PA = RB(c) Ar(PQS) = Ar (QRS)(d) all of these

Q.25 The value of 1313

10

31)2/3()2/3(

)1.0()6.0(−

−+

− is –

(a) 3/2 (b) –3/2 (c) 2/3 (d) –1/2

Q.20 sec2θ = 2)yx(xy4

+ lR; gksxk –

(a) tc x = y(b) tc x < y(c) tc x > y(d) x rFkk y ds izR;sd eku ds fy,

Q.21 1ecAcosAcot1ecAcosAcot

+−−+

cjkcj gS –

(a) AcosAsin1+

(b) AsinAcos1+

(c) Acos1Asin

+ (d) AsinAcos1−

Q.22 tan 50° – tan 40° cjkcj gS –(a) tan 10° (b) 2 tan 10°(c) 1 (d) 2

Q.23 ;fn ƒ(x) = tan2 x + cot2 x,rks ƒ(x) dk U;wure eku gS –(a) 0 (b) 1(c) 2 (d) vifjHkkf"kr

Q.24 fuEu fp= esa dkSu lk lR; gS ?

(a) Ar∆(APS) = Ar∆(QRB)(b) PA = RB(c) Ar(PQS) = Ar (QRS)(d) mijksDr lHkh

Q.25 1313

10

31)2/3()2/3(

)1.0()6.0(−

−+

− dk eku gS –

(a) 3/2 (b) –3/2 (c) 2/3 (d) –1/2

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Q.26 The sum and difference of a number and its reciprocal arein the ratio 13:5. The number is –

(a) 23

(b) 49

(c) 54

(d) 1625

Q.27 If x = 2323

−+

and y = 1, the value of y3xyx

−−

is –

(a) 46

5−

(b) 46

5+

(c) 5

46 − (d) 5

46 +

Q.28 If n is a whole number greater than 1, thenn2(n2 –1) is always divisible by –(a) 12 (b) 24(c) 12 and 24 (d) 36

Q.29 What should be added to 1516 to make it divisible by 16?(a) 0 (b) 1(c) 7 (d) 15

Q.30 If tan x = °60sin21

, then x is -

(a) 0° (b) 30°(c) 60° (d) 90°

Q.26 ,d la[;k rFkk mlds O;qRØe dk ;ksx rFkk vUrj 13:5 ds vuqikresa gS] rks la[;k gS–

(a) 23

(b) 49

(c) 54

(d) 1625

Q.27 ;fn x = 2323

−+

rFkk y = 1, rks y3xyx

−−

dk eku gS –

(a) 46

5−

(b) 46

5+

(c) 5

46 − (d) 5

46 +

Q.28 ;fn n,1 ls cMh ,d iw.kZ la[;k gS] rks n2(n2 –1) lnSo fuEu lsfoHkkftr gksxk –(a) 12 (b) 24(c) 12 rFkk 24 (d) 36

Q.29 1516 esa D;k tksMk tk, fd ;g 16 ls foHkkftr gks ?(a) 0 (b) 1(c) 7 (d) 15

Q.30 ;fn tan x = °60sin21

, rks x gS -

(a) 0° (b) 30°(c) 60° (d) 90°

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

In each part of this question, four alternatives are givenof which only one is correct. Select the correctalternative and write down the corresponding lettera, b, c, or d in your answer sheet against the questionnumber : [10 x 3 = 30]

Q.1 Find the missing term in the following series :2, 3, 5, 7, 11, ..........., 23(a) 12 (b) 13(c) 14 (d) 15

Q.2 Find the missing term in the following series :6, 9, 18, 21, 42, 45, .........(a) 93 (b) 90 (c) 98 (d) 96

Q.3 The following question are based on the letter series. Ineach series some letters are missing. The letters in theseries are arranged in a proper sequence. Find thesequence and encircle the correct group of letters givenin the choice − bcb − c − − cb − c(a) bbbbb (b) bccbc (c) ccbcb (d) cccbc

Q.4 In the following section, each question consists of fivesets of group of letters in which one is different from theother four. Find the one which is different(a) REWSNA (b) ESICREXE(c) ELPMAXE (d) STUVGHI

Q.5 If FLOWER is coded GMPXFS, then GARDEN iscoded as(a) HSBFEO (b) HBSEFO(c) ICTFGP (d) NEDRAG

Q.6

The number of hexagons in the above diagram is(a) 0 (b) 1 (c) 2 (d) 3

bl iz'u ds izR;sd Hkkx esa pkj fodYi fn;s x;s gSaA ftuesa ls flQZ,d lgh gSA lgh fodYi pqfu;s vkSj mÙkj esa iz'u la[;k ds lEeq[klacaf/kr vkj a, b, c ;k d vafdr dhft,A

[10 x 3 = 30]

Q.1 fjDr in Kkr dhft, &2, 3, 5, 7, 11, ..........., 17(a) 12 (b) 13(c) 14 (d) 5

Q.2 fjDr in Kkr dhft,6, 9, 18, 21, 42, 45, .........(a) 93 (b) 90 (c) 98 (d) 96

Q.3 ;g iz'u vkjks a dh fo'ks"k Js.kh ij vk/kkfjr gSA izR;sd Js.kh

es a dqN vkj fjDr gSA vkj ,d fuf'pr Js.kh es a tes a gq, gSA

fjDr inks a dh Js.kh Kkr djks & − bcb − c − − cb − c

(a) bbbbb (b) bccbc (c) ccbcb (d) cccbc

Q.4 izR;sd iz'u esa ikap 'kCnkss a ds lewg fn;s x;s gSA buesa ls ,dlewg vU; pkjksa ls fHkUu gS rks fHkUu lewg gksxk &(a) REWSNA (b) ESICREXE(c) ELPMAXE (d) STUVGHI

Q.5 ;fn FLOWER dks fy[kk tkrk gS GMPXFS, rks GARDEN dksfy[kk tk;sxk &(a) HSBFEO (b) HBSEFO(c) ICTFGP (d) NEDRAG

Q.6

bl fp= esa fdrus "kVHkqt gS &

(a) 0 (b) 1 (c) 2 (d) 3

PART : 4 LOGICAL APTITUDE

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

Study the following figure and choose the correct answerof the following question (Q.7 to Q.9)

Q.7 The number of parallelograms in the above figure is(a) 6 (b) 7(c) 8 (d) 9

Q.8 The number of triangles in the figure above is(a) 10 (b) 12(c) 14 (d) 16

Q.9 The number of pentagons in the above figure is(a) 3 (b) 4(c) 5 (d) 6

Q.10 The following question is based on sets of numbers in acertain order or logic. Candidates are required to findout a similar set from the choice which corresponds tothe set given in the questionThe given set is (4 , 16, 36)(a) (8,13, 18) (b) (7,12, 15)(c) (5, 10, 15) (d) (15, 24, 35)

uhps fn, x, fp= dk /;kuiwoZd v/;;u djrs gq, fuEuiz'uks a ds mRrj nhft, (Q.7 to Q.9)

Q.7 fn;s x;s fp= esa fdrus lekUrj prqHkqZt gksxs &(a) 6 (b) 7(c) 8 (d) 9

Q.8 fn;s x;s fp= esa fdrus f=Hkqt gksxs &((a) 10 (b) 12(c) 14 (d) 16

Q.9 fn;s x;s fp= esa fdrus iapHkqt gksxs &

(a) 3 (b) 4(c) 5 (d) 6

Q.10 bl iz'u esa fn;s x;s lewg dh rhuksa la[;k,sa ,d fuf'pr Øe esa gSAml ;qXe dk irk yxkb;s ftldk Øe fn;s x;s lewg ds Øe dhrjg gSAfn;k x;k Øe gS (4 , 16, 36)

(a) (8,13, 18) (b) (7,12, 15)(c) (5, 10, 15) (d) (15, 24, 35)

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SAMPLE TEST PAPERFOUNDATION COURSE FOR IIT-JEE

STSTSTSTSTANDANDANDANDANDARD ARD ARD ARD ARD ANSWER KEYANSWER KEYANSWER KEYANSWER KEYANSWER KEYSAMPLE TEST PAPER

PHYSICSPHYSICSPHYSICSPHYSICSPHYSICS

Q.1 (d) Q.2 (a) Q.3 (a) Q.4 (a) Q.5 (b) Q.6 (c) Q.7 (c)

Q.8 (a) Q.9 (d) Q.10 (b) Q.11 (b) Q.12 (c) Q.13 (c) Q.14 (c)

Q.15 (a) Q.16 (b) Q.17 (a) Q.18 (d) Q.19 (c) Q.20 (a) Q.21 (a)

Q.22 (a) Q.23 (b) Q.24 (c) Q.25 (b) Q.26 (d) Q.27 (c) Q.28 (d)

Q.29 (a) Q.30 (c)

CHEMISTRYCHEMISTRYCHEMISTRYCHEMISTRYCHEMISTRY

Q.1 (b) Q.2 (a) Q.3 (c) Q.4 (b) Q.5 (b) Q.6 (a) Q.7 (c)

Q.8 (a) Q.9 (a) Q.10 (d) Q.11 (c) Q.12 (c) Q.13 (c) Q.14 (c)

Q.15 (c) Q.16 (a) Q.17 (c) Q.18 (a) Q.19 (c) Q.20 (d) Q.21 (b)

Q.22 (a) Q.23 (c) Q.24 (c) Q.25 (c) Q.26 (a) Q.27 (b) Q.28 (b)

Q.29 (a) Q.30 (d)

MAMAMAMAMATHEMATHEMATHEMATHEMATHEMATICSTICSTICSTICSTICSQ.1 (d) Q.2 (b) Q.3 (c) Q.4 (a) Q.5 (a) Q.6 (c) Q.7 (d)

Q.8 (a) Q.9 (b) Q.10 (b) Q.11 (b) Q.12 (b) Q.13 (a) Q.14 (a)

Q.15 (a) Q.16 (a) Q.17 (d) Q.18 (a) Q.19 (d) Q.20 (a) Q.21 (b)

Q.22 (b) Q.23 (c) Q.24 (d) Q.25 (b) Q.26 (a) Q.27 (d) Q.28 (a)

Q.29 (d) Q.30 (b)

LOGICAL APTITUDELOGICAL APTITUDELOGICAL APTITUDELOGICAL APTITUDELOGICAL APTITUDE

Q.1 (b) Q.2 (b) Q.3 (a) Q.4 (d) Q.5 (b) Q.6 (b) Q.7 (d)

Q.8 (c) Q.9 (d) Q.10 (d)

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