Class XII Science Maths Eng

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Write your Name and STaRT-2013 Student Registration No. in the space provided below.

Name Reg. No.

INSTRUCTIONSA. General :

1. This Question Paper contains 50 questions. Please check before starting to attempt. The question paper

consists of 4 parts (Physics, Chemistry, Mathematics & Mental Ability).

2. Space is provided within question paper for rough work hence no additional sheets will be provided.

3. Blank paper, clipboard, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets

in any form are not allowed inside the examinaiton hall.

4. The answer sheet, a machine-gradable Objective Response Sheet (ORS), is provided separately.

5. Do not Tamper / mutilate the ORS or this booklet.

6. Do not break the seals of the question-paper booklet before instructed to do so by the invigilators.

7. SUBMIT the ORS to the invigilator after completing the test & take away the test paper with you.

8. Any student found/reported using unfair means to improve his/her performance in the test, shall be

disqualified from STaRT-2013.

B. How to fill Objective Response Sheet (ORS) for filling details marking answers:

9. Use only HB Pencil/Blue or Black ball point pen for filling the ORS. Do not use Gel/Ink/Felt pen as it might

smudge the ORS.

10. Write your STaRT-2013 Student Registration No. in the boxes given at the top left corner of your ORS with

blue/black ball point pen. Also, darken the corresponding bubbles with HB Pencil/Blue or Black ball point

pen only.

11. If any student does not fill his/her STaRT-2013 Student Registration No. correctly and properly, then his/her

ORS will not be checked/evaluated.

12. Since it is not possible to erase and correct pen filled bubble, you are advised to be extremely careful while

darken the bubble corresponding to your answer.

13. Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do not

scribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on the

ORS.

14. If there is any discrepancy between the written data and the bubbled data in your ORS, the bubbled data will

be taken as final.

C. Question paper format and Marking scheme :

15. For each right answer you will be awarded 4 marks if you darken the bubble corresponding to the correct

answer and zero marks if no bubble is darkened. In case of bubbling of incorrect answer, minus one (1)

markwill be awarded.

Please read the instructions carefully. You are allotted additional 5 minutes specifically for this purpose.

Duration : 90 Minutes Max. Marks : 200

SAMPLE TEST PAPERCLASS : XII STREAM : SCIENCE - MATHEMATICS

DONOTBREAKTHESEALS

WITHOUTBEING

INSTRUCTEDTODOSOBYTHEINVIGILATOR

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2 0 1 3

STa R T-2 0 1 3Scholarship & Talent Reward Test


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(SPACE FOR ROUGH WORK)

PART - I (PHYSICS)Straight Objective Type

This section contains 50 questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of

which ONLY ONE is correct.

1. Two charges +q and

q are fixed at distanced

apart. Then another charge of some magnitude can be

placed such that it will be in equilibrium :

(A) When placed towards left of +q charge(B) When placed towards right of q charge.(C) When placed on the perpendicular bisector of the line joining q & + q(D) None of these

2. An electric current passes through non uniform cross-section wire made of homogeneous and isotropicmaterial. If the jA and jB be the current densities and EA and EB be the electric field intensities at A and

B respectively, then

aA

B

b

(A) jA > jB ; EA > EB (B) jA > jB ; EA < EB (C) jA < jB ; EA > EB (D) jA < jB ; EA < EB


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3. A and B are two metallic rings placed at opposite sides of an infinitely long straight conducting wire asshown. If current in the wire is slowly decreased, the direction of induced current will be :

(A) clockwise in A and anticlockwise in B (B) anticlockwise in A and clockwise in B

(C) clockwise in both A and B (D) anticlockwise in both A & B

4. N atoms of a radioactive element emit n alpha particles per second at an instant. Then the half - life of the

element is

(A)N

nsec. (B) 1.44

N

nsec. (C) 0.69

N

nsec. (D) 0.69

n

Nsec.

5. Two small balls, each having equal positive charge Q are suspended by two insulatingstrings of equal length L from a hook fixed to a stand. If the whole set-up is transferredto a satellite in orbit around the earth, the tension in equilibrium in each string isequal to L L

q qm m(A) zero (B) 2L

kQ(C) 2

2

L2

kQ(D) 2

2

L4

kQ

6. Assume that gravitational lines of forces represent gravitational field just like electric lines of forces representelectric field. Which of the following diagram correctly represents the gravitational field lines for a pair of pointmasses shown in options below ?

(A) (B)

(C) (D)



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7. Figure shows a uniformly charged hemispherical shell. The direction of electricfield at point p, that is off-centre (but in the plane of the largest circle of thehemisphere), will be along p

bc

d

Q

a

(A) pa (B) pb(C) pc (D) pd

8. In which of the following cases the total number of decays will be maximum in a time interval of t = 0 tot = 4 hr. The first term represents the number of nuclei at time t = 0 and the second represents the half

life of the radionuclide.(A) N0, 4 hr (B) 2 N0, 3 hr (C) 4 N0, 1 hr (D) None of these

9. An electron of mass 'm

', when accelerated through a potential V has deBroglie wavelength . The de

Broglie wavelength associated with a proton of mass M accelerated through the same potential differencewill be :

(A) M

m(B)

m

M(C)

M

m

(D)

m

M

10. The plates of a parallel plate capacitor have charges Q and -2Q. It s capacitance is C. The potentialdifference between its plates will be

(A) 3Q/2C (B) Q/C (C) 2Q/3C (D) none of these

11. Acceleration of a particle under projectile motion at the highest point of its trajectory is :(A) g (B) zero(C) less than g (D) dependent upon projection velocity

12. Three resistances are arranged as shown. The potential of the point O is:

(A) 3 V

(B) 1 V

(C) 4 V

(D) 5 V


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13. A battery of internal resistance 2 is connected to a variable resistor whose value can vary from 4 to10 . The resistance is initially set at 4 If the resistance is now increased then(A) power consumed by it will decrease(B) power consumed by it will increase(C) power consumed by it may increase or may decrease(D) power consumed will first increase then decrease.

14. Two identical conducting rings A & B of radius R are in pure rolling over a horizontal conducting plane

with same speed (of center of mass) but in opposite direction. A constant magnetic field B is presentpointing inside the plane of paper. Then the potential difference between the highest points of the tworings, is :

(A) zero (B) 2 Bvr (C) 4Bvr (D) none of these

15. Two hydrogen atoms are in excited state with electrons residing in n = 2. First one is moving towards left andemits a photon of energy E

1towards right. Second one is moving towards left with same speed and emits a

photon of energy E2towards left. Taking recoil of nucleus into account during emission process

(A) E1

> E2

(B) E1

< E2

(C) E1

= E2

(D) information insufficient

PART - II (CHEMISTRY)16. Entropy change for 2 moles of an ideal monoatomic gas when it undergoes the change in state from (4 atm,

300 K) to (1 atm, 150 K) is

(A) Rn2 (B) 4R n2 (C) Rn2 (D) 4R n2

17. Which of following is responsible for temporary hardness of water ?(A) Ca(HCO

3)2

(B) Na2CO

3(C) CaCO

3(D) MgSO

4


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18. A solution turns red litmus blue, its pH is likely to be :(A) 1 (B) 4 (C) 7 (D) 10

19. 10 mL of a solution of NaOH is found to be completely neutralised by 8 mL of a given solution of HCl. If wetake 20 mL of the same solution of NaOH, the amount of H

2SO

4solution (having the same molarity as that of

initial HCl solution) required to neutralise it will be :

(A) 4 mL (B) 8 mL (C) 12 mL (D) 16 mL

20. Consider the following equilibrium situation and identify the correct statement :2H

2(g) + CO (g) CH

3OH (g)

(A) Addition of H2(g) would lead to increased production of CH

3OH (g).

(B) Addition of CH3OH (g) would stimulate further consumption of CO (g).

(C) Increasing pressure would lead to the production of H2(g).

(D) Reducing the volume of the equilibrium will not disturb the equilibrium.

21. What is the pH of 0.01M NaOH aqueous solution ?

(A) 3 (B) 12 (C) 6 (D) 14

22.92

U235 82

Pb207

How many and particles will be emitted when this conversion occurs ?(A) 6, 3 (B) 7, 4 (C) 7, 3 (D) 6 , 4

23. A mixture of a definite composition of ethanol and water forms

(A) Maximum boiling azeotrope

(B) Minimum boiling azeoptrope

(C) Both maximum and minimum boiling azeotrope

(D) No azeotrope


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24. /NaOH P ; the major product 'P' is

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

25. CH3 CH

2 CH

3

z)3(

y)2(

x)1( CH3 CH2 CH2 Br

x, y, z are respectively :

(A) Br2 / h , conc. H2SO4 , ThO2 / (B) Cl2 / h , alc. KOH / , HBr / R2O2(C) Cl2

/ h , tBuO / , HBr (dark) (D) F2

/ h , Al2O

3/ , NBS


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PART - III (MATHS)26. The solution set of the equation

2x )x1(logx = 9 is

(A) {2, 4} (B) {4} (C) {0, 2, 4} (D) none of these

27. The number of ordered pairs (x, y) satisfying |y| = cosx and y = sin1 (sinx) where |x| 3 are(A) 2 (B) 4 (C) 6 (D) 8

28. The domain of definition of function f(x) =

4

xx5log

2

10 is

(A) [2, 4] (B) [1, 5] (C) [0, 5] (D) [1, 4]

29. A function f has domain [1, 2] and range [0, 1]. The domain and range respectively of the function g defined

by g(x) = 1 f(x + 1) is

(A) [1, 1] , [1, 0] (B) [2, 1] , [0, 1] (C) [0, 2] , [1, 0] (D) [1, 3] , [1, 0]

30. The curve y exy + x = 0 has a vertical tangent at(A) (1, 1) (B) (0, 1) (C) (1, 0) (D) no point

31. The function f(x) is defined as follows f(x) =

1x1x

;;

cbxax

x2

3

,

What must be the values of a, b, c so that f (x) is continuous everywhere ?(A) a = 3, b = 3, c = 1 (B) a = 3, b = 3, c = 1 (C) a = 3, b = 3, c = 2 (D) can not be determined

32. If f(x) = 1 x x3 , then all real values of x satisfying the inequality 1 f(x) f3(x) > f(1 5x) are in(A) (2, 0) (2, ) (B) (, 2) (C) (1, 2) (D) none of these


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33. If a sequence < an

> is such that a1

= 1, an + 1

=n

n

a21

a32

andn

lim an exists, then nlim a

nis equal to

(A) cos36 (B) sin18 (C) 2cos36 (D) none of these

34. Let f(x) =

0x;xaxx

0x;xe

32

ax

where a is constant. In which of the following intervals f (x) is decreasing

(A)

3

a, , a < 0 (B)

,

3

a

a

2, (C)

3

a,

a

2, a > 0 (D)

,

a

2 , a < 0

35. If

dxxsinxsin

xcosxcos42

53

= sin x A (sin x)1 B tan1 (sinx) + C, (C being arbitrary constant) , then A + B is

equal to(A) 2 (B) 4 (C) 6 (D) 8

36. Two dice were thrown and it is known that the numbers which come up were different. The probability

that the sum of the two numbers is 6, is

(A) 15

1

(B) 15

2

(C) 15

3

(D) 15

4

37. A vectora has components 2p and 1 with respect to a rectangular cartesian system. The system is rotated

through a certain angle about the origin in the counterclockwise sense. If with respect to the new system,a

has components p+1 and 1, then

(A) p = 0 (B) p = 1 or p = 1/3 (C) p = 1 or p =1/3 (D) p = 1 or p = 1


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38. The value of

3

1

])x[|2x(| dx is ([x] stands for greatest integer less than or equal to x)

(A) 7 (B) 5 (C) 4 (D) 3

39.

n

2nn

x

x

e

3

2cos1

edx is equal to

(A) 3 (B) 3 (C)3

1(D)

3

1

40. Solution of differential equation f(x)dx

dy= f2 (x) + f(x) y + f(x) y is

(A) y = f(x) + cex (B) y = f(x) + cex (C) y = f(x) + cex f(x) (D) y = cf(x) + ex

PART - IV (MENTAL ABILITY)Directions : (41 to 43)Find the missing term :41. 1, 3, 7, 25, 103, ?

(A) 526 (B) 521 (C) 515 (D) 509

42. ABCA, BCDB, CDEC, DEFD, ?

(A) EFHE (B) FEGF (C) EFGF (D) EFGE

43.

1 7 6

3 3 ?

5 4 8

35 74 104

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



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Directions : (44 to 45)Assume the following :

A @ B means A is greater than B ;

AB means A is either greater than or equal to B;

A $ B means A is equal to B ;

A B means A is smaller than B ;

A # B means A is either smaller than or equal to B;

In each question, two statements followed by two conclusions I and II are given. Assuming the statement to

be true, state which of the conclusions I and II is / are definitely true ?

Give answer (A) if only conclusion I is true; (B) if only conclusion II is true; (C) if either I or II is true; and (D)

if both I andII are true.

44. Statements : P # Q, M N $ PConclusions :I. M @ P II. N # Q

45. Statements : L M, R T $ L

Conclusions :I. T M II. R @ L

46. How many squares does the figure have ?

(A) 10 (B) 11 (C) 12 (D) 14


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47. Introducing a girl, Vipin said, "Her mother is the only daughter of my mother in law. "How is Vipin related

to the girl ?

(A) Uncle (B) Father (C) Brother (D) Husband

48. Ram is to the South-East of Mukesh, Shyam is to the East of Mukesh and North-East of Ram. If Suresh

is to the North of Ram and North-West of Shyam, in which direction of Mukesh is Suresh located ?

(A) North-West (B) South-West (C) North-East (D) South-East

49. The year next to 1996 having the same Calendar will be -(A) 2001 (B)2002 (C) 2004 (D) 2006

50. At what time between 12 and 1 will the hands of a clock be in the straight line but not together(A) 35 minutes past 12 (B) 30 minutes past 12(C) 31 minutes past 12 (D) None of these

ANSWER KEY

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

8. (C) 9. (B) 10. (A) 11. (A) 12. (A) 13. (A) 14. (C)

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

22. (B) 23. (A) 24. (C) 25. (B) 26. (B) 27. (C) 28. (D)

29. (B) 30. (C) 31. (A) 32. (A) 33. (C) 34. (B) 35. (D)

36. (B) 37. (B) 38. (A) 39. (A) 40. (C) 41. (B) 42. (D)

43. (B) 44. (B) 45. (A) 46. (B) 47. (B) 48. (C) 49. (A)

50. (D)

Class XII Science Maths Eng

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