at 1314 sample paper xi _going to xii_ iq+pcm

8/23/2019 At 1314 Sample Paper XI _going to XII_ IQ+PCM

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FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com

FIITJEE ADMISSION TEST

ONE YEAR Classroom ProgramUSA UnivQuest – One Year Classroom Program

IQ, PHYSICS, CHEMISTRY & MATHEMATICS

Time: 3 Hours Maximum Marks: 346

Instructions:

1. Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results.

2. This Questions paper consists of 4 Sections:

Section I – IQ (Q. 1 to 30), Section II – Physics (Q. 31 to 50),

Section III – Chemistry (Q. 51 to 70), Section IV – Mathematics (Q. 71 to 90).

3. All the questions are multiple choice questions having only one correct answer.

Each Double star (**) marked question carries +8 marks for correct answer and -3 marks for wrong answer. Each Single star (*) marked question carries +5 marks for correct answer and -2 marks for wrong answer. Each of the rest of questions carries +3 marks for correct answer and -1 mark for wrong answer.

4. You are advised to devote around 45 Minutes on each Section as there will be minimum cutoff marks in each Section for qualifying.

5. Answers have to be marked on the OMR sheet.6. The Question Paper contains blank spaces for your rough work. No additional sheets will be

provided for rough work.

7. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are not allowed.

8. Write your Name, Registration Number and Test Centre in the space provided below.

Registration Number :

Name of the Candidate : ___________________________________________________________

Test Centre : ___________________________________________________________




AT-2013-14-(Sample Paper)-XI (going to XII)-IQ+PCM-2

I I QQ SECTION – I

Straight Objective Type

This Section contains 30 multiple choice questions numbered 1 to 30. Each question has 4 choices (A),

(B), (C) and (D), out of which ONLY ONE is correct.

1. If 7 × 5 × 4 = 57354 and 8 × 7 × 3 = 78563 then 6 × 8 × 5 = ?(A) 86585 (B) 86855(C) 68485 (D) 86485

2. Find the odd one out from the given alternatives:(A) 94 – 7 (B) 42 – 6(C) 35 – 5 (D) 56 – 8

3. Find the related word/number:Suggest : Demand : : Take : ?(A) Give (B) Grab(C) Receive (D) Gift

**4. Which is the odd number in the pattern given below?

4 32 144 17

28 122 18 64

322 14 602 24

(A) 4 (B) 17(C) 28 (D) None of these

5. If 87654 stands for ‘GREAT’, then 754 stands for (A) GET (B) TEA(C) EAT (D) RAT

*6. 1, 1, 2, 3, 5, 8, 13, ?

(A) 18 (B) 21(C) 23 (D) None of these

7. 3, 4, 8, 17, 33, ?(A) 58 (B) 45(C) 49 (D) None of these

Space For Rough Work





**8. Find the missing number

1 4 9 ?

1 2 3 4

2 4 6 ?

(A) 36 and 4 (B) 25 and 5(C) 16 and 8 (D) 49 and 7

*9.?

?

ab a? ?

ba?

ab

(A) abbba (B) abbab(C) baabb (D) bbaba

Directions (10-14): Each of the following questions has three rows of figures. From the third row, onefigure is missing. The missing figure is one of the five alternative figures given at the end of eachquestion. Find the missing figure.

10.

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

11.

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






12.

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

*13.

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

**14.

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






Directions (15−16): In each of the following questions one or more statements have been given followedby four inferences, A, B, C and D. Find out the inference that definitely follows from the given statement.

15. “Soldiers serve their country”.(A) Those who serve their country are soldiers(B) Women do not serve their country because they are not soldiers(C) Men generally serve their country

(D) Some men who are soldiers serve their country.

16. “Most of the pens in that shop are expensive”.(A) There are no cheap pens in that shop(B) Some of the pens in that shop are expensive(C) There are cheap pens also in that shop(D) Camlin pens in that shop are expensive.

17. Look at the figure given below:

6

5

3

1

6

3

4

3

5

2

4

5

Which number is on the face opposite to 6?

(A) 5 (B) 3

(C) 1 (D) 4

18. The next digit in the series 6, 4, 3, 12/5, will be:(A) 7/3 (B) 9/4(C) 13/5 (D) 2

**19. In the following question, the wrong term and its substitution by the correct term are indicated asa pair in the four options to each question. Identify the correct pair.24, 49, 99, 94, 15, 31, 59, 58(A) (49, 47) (B) (99, 95)(C) (94, 101) (D) None of these.

Directions (20−22): In each of the questions given below, there is a letter group series with one termmissing as shown by (?). This term is given as one the alternatives among the groups of letters givenunder it. Find this term.

*20. (?), PSVYB, EHKNQ, TWZCF, ILORU

(A) BEHKN (B) ADGJM(C) ZCFIL (D) IMPSV

*21. ACMYA, FHNDF, (?) PRNNP, UWMSU, ZBNXZ

(A) INMKI (B) KMNIK(C) IMNKI (D) KMMIK






**22. BASTU, (?) DCQVW, DEPXW, FEOXY, FGNZY

(A) CBTUT (B) CBRUV

(C) BCRVU (D) BCTVU

Directions (23−25): In the questions given below there are four terms, one of which is missing as shown

by (?). Two terms to the left of : : bear the same relationship as the two terms to its right. Find the missingterm from among the five alternatives given at the end of each question.

**23. ? : JKHI : : TURS : OPMN

(A) MNOP (B) LMNO

(C) OPMN (D) NLMO

24. AEFJ : KOPT : : ? : QUVZ

(A) GLKP (B) GKLP

(C) HKLP (D) HKQL

25. ACEG : ? : : BDFH : KMOQ

(A) NLPR (B) LMNO

(C) JLNP (D) JNLO

26. A rat runs 20 m towards east and turns to right, runs 10 m and turns to right, runs 9 m and againturns to left, turns to left, runs 5 m and then turns to left, runs 12 m and finally turns to left andruns 6 m. Now which direction is the rat facing?(A) East (B) North(C) West (D) South

*27. Mehrunisa is the 11th

from the either end of the row of girls, how many girls are there in that row?(A) 19 (B) 20(C) 21 (D) 22

Directions (28−30): Choose the correct alternative.

28. If ‘PAINTER’ is coded as ‘3528617’ which is the correct code for ‘TANRPEI’?(A) 6587312 (B) 6583721(C) 6587132 (D) 6583712

29. ‘PLANETS’ is coded as ‘4823579’. Which is the correct code for ‘SNLEPAT’?(A) 9385247 (B) 9384527(C) 9385427 (D) 9385742

30. If ‘MADRAS’ is coded as ‘56’, how can ‘CALCUTTA’ be coded(A) 8 (B) 38(C) 81 (D) 76






P Phh y yssiiccss SECTION – II




31. A cracker rocket is ejecting 0.05 kg of gases per sec at a velocity of 400 m/s. The accelerating

force on the rocket is

(A) 20 dynes (B) 20 N

(C) 20 kg – wt. (D) none of the above

32. A light and a heavy body have equal momentum. Which of them has greater K.E.?

(A) The heavier body (B) The lighter body

(C) Both have equal K.E. (D) data is incomplete

33. Sonar works on the principle of

(A) reflection of sound waves. (B) momentum of sound waves.

(C) energy of sound waves (D) refraction of sound waves.

*34. Which of the curves in figure represents the relation

between Celcius and Farenheit temperature?

(A) (i) (B) (ii)

(C) (iii) (D) (iv)

C

F

(i)

(ii)

(iv)

(iii)

35. In perfectly inelastic collisions, the relative velocity of the bodies

(A) before impact is zero (B) before impact is equal to that after impact

(C) after impact is zero (D) is characterized by none of the above

Space for Rough Work





36. A uniform rope of length L, resting on a frictionless horizontal surface is pulled at one end by a

force F. What is the tension in the rope at a distance A from the free end?

(A) F (B) F ×

+

L1

A

(C) F × (A/L) (D) F

− L1

A

37. The Young’s modulus of a wire of length L and radius r is Y. If the length is reduced to L/3 and

radius remains r, its Young’s modulus will be

(A) Y/3 (B) Y

(C) 3Y (D) none of these

**38. Two particles one of mass m and the other of mass 2m are

projected horizontally towards each other from the same level

above the ground with velocities 10 m/s and 5 m/s respectively.

They collide in air and sticks to each other. The distance from A

where the combined mass finally falls on the ground is

60m

10 m/s 5 m/s

m 2m

A B

(A) 40 m (B) 20 m

(C) 30 m (D) zero

39. If the range of a gun which fires a shell with muzzle speed v is R then the angle of elevation of the

gun is

(A) cos−1

2v

gR

(B) cos−12

gR

v

(C)21 v

2 gR

(D) 1

2

1 gRsin

2 v

−

*40. The radius of a ring is R and its coefficient of linear expansion is α. If the temp of ring increases

by θ then its circumference will increase by

(A) π Rαθ (B) 2π Rαθ

(C) πRαθ/2 (D) π Rαθ/4






41. A satellite of mass ‘m’ initially at rest on the earth, is launched into a circular orbit of radius equal

to twice the radius ‘R’ of the earth. The energy required is

(A) gRm2

1(B) gRm

4

3

(C) gRm (D)

4

1gRm

42. A particle is kept at rest at a distance R (earth's radius) above the earth surface. The minimum

speed with which it should be projected so that it does not return to earths surface

(A)R4

GM(B)

R2

GM

(C)R

GM(D)

R

GM2

**43. An aluminium rod (length A1; coefficient of linear expansion aα ) and a steel rod (length A2;

coefficient of linear expansion sα ) are joined such that the total length becomes (A

1 +A

2). If theincrease in lengths of aluminium and steel rods is found to be same when the system is raised to

a certain temperature, then the ratio ( )211

AAA + .

(A) a sα α (B) s aα α

(C) ( )sas

α+αα (D) ( )saa

α+αα

**44. A body of mass m, moving on a frictionless surface with speed v

strikes a spring as shown in the figure.

Assertion (A): The speed of the block when it returns back to P is

equal to v

Reason (R): This is so because spring force is a conservative

force.

mV

P

(A) Both A and R are true and R is correct explanation of A.

(B) Assertion is true but Reason is not true.

(C) Both A and R are wrong.

(D) Both A and R are true but R is not correct explanation of A .






*45. The equations of displacement of two waves are given as

y1 = 20 sin 3 t3

π π +

; y2 = 10 sin3 t 3 cos3 t π + π . The ratio of their amplitude is

(A) 1 : 2 (B) 2 : 1

(C) 1 : 1 (D) None of these.

46. The moment of a force is a measure of

(A) the impulse of the force. (B) the stability of the body.

(C) the capacity to turn a body. (D) the change in momentum of a body.

47. A particle is projected up from a point O with a velocity u in a direction making an angle α with the

horizontal. After some time at point P it is moving parallel to the horizontal. The time of flight from O to

P is

(A)u

g Sinα(B)

ucos

g

α

(C)u tan

g

α(D)

usin

g

α

*48. A shell is fired from a cannon with a velocity V at an angle θ with horizontal . At the highest point

in its path, it explodes into two pieces of equal mass. One of the pieces retraces its path to

the cannon then the speed of the other piece immediately after the explosion is

(A) 3V cos θ (B) 2 V cos θ

(C)3

2V cos θ (D)

3

2V cos θ

49. A string ‘A’ has double the length, double the tension, double the diameter and double the density

as another string ‘B’. Their fundamental frequencies of vibration are n A and nB respectively. The

ratio

n A /nB is equal to

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

**50. An accelerated system with a vertical wall has co-efficient of friction

µ between block and walls as shown in the figure. A block M of

mass 1 kg just remains in equilibrium with the vertical wall, when the

system has an acceleration of 20 m/s2. The minimum value of co-

efficient of friction will be

(A) 0.10 (B) 0.25

(C) 0.50 (D) 1

Acceleration

M






CChheemmiissttr r y y SECTION – III




*51. Which quantum number is used to calculate the energy of electron in any shell of Hydrogen likeatom?(A) A (B) s(C) m (D) n

**52. What designation is given to an orbital having n = 2, A = 1?(A) 2p (B) 3s(C) 3p (D) 3d

53. Which is the correct electronic configuration of scandium (atomic number = 21) (Sc+) ion?

(A) 1s22s

22p

63s

23p

64s

13d

1(B) 1s

22s

22p

63s

23p

64s

2

(C) 1s22s

22p

63s

23p

63d

24s

1(D) 1s

22s

22p

63s

23p

6

54. Which of the species are isoelectronic?

(A) N, O (B) Cl−, K+

(C) Mg++

, K+

(D) H, He

**55. Which is not possible?

(A) n = 3, A = 0, m = 0 (B) n = 3, A = 1, m = −1

(C) n = 3, A = −1, m = −1 (D) n = 3, A = 2, m = −1

56. Which solution will be strongly acidic?(A) pH = 4.5 (B) pH = 1(C) pOH = 8.0 (D) pOH = 7.5

**57. Which of the following acts as a Bronsted acid?(A) 3

HCO− (B) NH3

(C) Na2CO3 (D) NaCl

**58. The H+

ion concentration in 1 M CH3COOH solution if Ka of CH3COOH is 1.6 × 10−5is

(A) 4 × 10−3M (B) 0.4 × 10−3

M

(C) 4 × 10−4M (D) 0.4 × 10−4

M






59. The conjugate base of CH3OH is

(A)3

CH+ (B)3

CH−

(C) CH3O− (D) 3 2CH OH

⊕

60. The conjugate acid of 2NH− is

(A) 4NH+ (B) N2H4

(C) NH2OH (D) NH3

61. The number of moles of sodium in 53 g of Na2CO3 (A) 0.5 mole (B) 1 mole(C) 2 mole (D) 3 mole

*62. A solution containing 20 g NaOH in 200 cm3

of volume will have molarity(A) 1.5 M (B) 2.0 M(C) 1.0 M (D) 2.5 M

63. A compound having empirical formula C2H3O2 and molecular mass of 118 will be havingmolecular formula

(A) C4H8O4 (B) C2H3O2 (C) C4H6O4 (D) C2H6O

*64. Which of the following has zero dipole moment?

(A)

Cl

Cl

(B)

Cl

Cl

(C)

Cl

Cl

(D)

Cl

65. The shape of H2O molecule is(A) tetrahedral (B) planar

(C) pyramidal (D) V−shape






*66. Which bond is the least ionic?

(A) H−F (B) H−Cl

(C) F−F (D) Cl−F

67. The shape of PCl5 molecule is(A) tetrahedral (B) linear

(C) trigonal bipyramidal (D) planar

68. ‘Ozone hole’ refers to the conversion of ozone (O3) into(A) Oxygen (B) CO2 (C) NO2 (D) SO2

69. A colourless and odourless gas produced by incomplete combustion of fuels and is a serious air pollutant is(A) carbon dioxide (B) carbon monoxide(C) oxygen (D) methane

70. Kinetic molecular theory of gases is applicable to(A) real gases (B) ideal gases(C) both (D) none






M M aatthheemmaattiiccss SECTION - IV




71. If π ≤ x ≤ 2π, then cos-1

(cosx) is equal to(A) x (B)-x

(C) 2π + x (D) 2π-x

72. If tan(x + y) = 33 and x = tan-1

3, then y will be(A) 0.3 (B) tan

-1(1.3)

(C) tan-1

(0.3) (D) tan-1

(1/18)

73. The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If theside a is 1, then the angle A is

(A) π/6 (B) π/3

(C) π/2 (D) π

**74. If a, b, c are in G.P. then the equations ax2+2bx+c=0 and dx

2+2ex+f=0 have a common root if

c

f ,

b

e,

a

dare in

(A) A.P. (B) G.P.

(C) H.P. (D) None of these.

75. The sum to n terms of the series 1+2(1 +n

1)+ 3(1+

n

1)2+.... is given by

(A) n2+ 1 (B) n(n + 1)

(C) n(1+1

n

)2

(D) none of these.

*76. The circle passing through the points (1, t), (t, 1) and (t, t) for all values of t, passes through thepoint(A) (1, 2) (B) (1, 3)(C) (1, 1) (D) (0, 1)






77. The co-ordinates of the point on the parabola y2

= 8x, which is at minimum distance from the

circle x2

+ (y + 6)2

= 1 are :

(A) (2, -4) (B) (18, -12)

(C) (2,4) (D) None of these

78. The angle between the tangents drawn from the origin to the parabola y

2

= 4a(x - a) is(A) 90° (B) 45°

(C) 60° (D) tan-1

2.

79. The number of common tangents that can be drawn to the circles x2

+ y2

–4x −6y –3 = 0 andx

2+ y

2+ 2x + 2y + 1 = 0 is

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

80. If the roots of the equation ax3

–x2

+ ax –16 = 0 from a G.P. then the value of a is(A) 1 (B) 2(C) –2 (D) 4

81. Numbers of numbers of more than one digit in which digits are in decreasing order from left toright is(A) 502 (B) 512(C) 1024 (D) 1013

**82. If z1 and z2 are two complex number such that | z1 – z2 | = | | z1 | – | z2 ||, then argz1 –argz2 is equalto

(A) -π (B) -π/2

(C) π/2 (D) 0

*83. The point of intersection of the tangents of the circle x2

+ y2

= 10, drawn at end points of the chordx + y = 2 is(A) (-5, -5) (B) (-5, -4)

(C) (-4, -5) (D) None of these

84. The maximum distance of the point (4, 4) from the circle x2

+ y2

–2x –15 = 0 is(A) 10 (B) 9(C) 5 (D) None of these

**85. The coefficient of x13

in the expansion of (1 -x)5

(1 + x + x2

+ x3)4

is(A) 4 (B) –4(C) 0 (D) None of these






86. Equation of common tangent to the parabola y2

= 8x and the hyperbola 3x2

–y2

= 3 is(A) 2x + y + 1 = 0 (B) 2x + y + 2 = 0

(C) 2x –y − 1 = 0 (D) none of these

*87. The inequality Z 4 Z 2− < − represents the region given by

(A) Re (Z) > 0 (B) Z+ Z > 8(C) Re (Z) > 2 (D) Re (Z) > 3

88. The number of lines that can be formed from 12 points in a plane of which 6 points lie on a line is(A) 45 (B) 52(C) 50 (D) 46

*89. If u = ( ) ( )1 1cot cos tan cos− −θ − θ then sin u equals to

(A) tan2

θ(B)

1 cos

1 cos

+ θ− θ

(C)2tan

2

θ(D)

2cot2

θ

**90. If the difference between the roots of x2

+ ax –b = 0 is equal to the difference between the rootsof x

2–px + q = 0 then p

2–a

2in terms of b and q is

(A) –4 (b + q) (B) 4 (b + q)(C) 4 (b –q ) (D) None of these




FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www fiitjee com


FIITJEE ADMISSION TEST

for students presently in

Class- XI

IQ, PHYSICS, CHEMISTRY & MATHEMATICS ANSWERS

SECTION – I (IQ)

1. D 2. A 3. B 4. B

5. D 6. B 7. A 8. C

9. B 10. D 11. A 12. A

13. B 14. B 15. A 16. C

17. D 18. D 19. B 20. B

21. D 22. C 23. C 24. B

25. C 26. B 27. C 28. A

29. C 30. C

SECTION – II (Physics)

31. B 32. B 33. A 34. A

35. C 36. C 37. B 38. A

39. D 40. B 41. B 42. C

43. C 44. A 45. C 46. C

47. D 48. A 49. A 50. C

SECTION – III (Chemistry)

51. D 52. A 53. A 54. B

55. C 56. B 57. A 58. A

59. C 60. D 61. A 62. D

63. C 64. C 65. D 66. C

67. C 68. A 69. B 70. B

SECTION – IV (Mathematics)

71. D 72. C 73. A 74. A

75. D 76. C 77. A 78. A

79. C 80. B 81. D 82. D

83. D 84. B 85. A 86. A

87. D 88. B 89. C 90. B

at 1314 sample paper xi _going to xii_ iq+pcm

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