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Sample Paper 1617 c 11 Paper 2

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7/25/2019 Sample Paper 1617 c 11 Paper 2
1/19
FIITJEE
L t d . , F I IT JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew De l h i  1 1 0 0 1 6 , P h 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
FIITJEESAMPLE PAPER  2015forstudents presently in
Class 11
Paper 2
Time: 3 Hours (1:45 pm 4:45 pm)Code 1111
Maximum Marks: 399
Instructions:
Note: Please check this Questio n Paper contains all105question s in serial order. If not so, exchange for the correct Question Paper.
OMR Answer Sheet No. : _____________________________________________________________
Registration Number : _____________________________________________________________
Name of the Candidate : _____________________________________________________________
Test Centre : _____________________________________________________________
Caution: Class, Paper, Code as given above MUST be correctly marked in the answer OMR sheetbefore attempting the paper. Wrong Class, Paper or Code will give wrong results.
1. This Question paper consists of 1 section. All questions will be multiple choice single correct out of fourchoices with marking scheme in table below:
Marking Scheme for each questionSection I
(PCM)Question no.
correct answer wrong answer
1 to 9, 11 to 12, 18 to 20, 31 +3 1
10, 13 to 17, 21 to 23, 26, 32 to 33 +4 1PHYSICS
24 to 25, 27 to 30, 34 to 35 +5 2
36 to 44, 46 to 47, 53 to 55, 66 +3 1
45, 48 to 52, 56 to 58, 61, 67 to 68 +4 1CHEMISTRY
59 to 60, 62 to 65, 69 to 70 +5 2
71 to 79, 81 to 82, 88 to 90, 101 +3 1
80, 83 to 87, 91 to 93, 96, 102 to 103 +4 1MATHEMATICS
94 to 95, 97 to 100, 104 to 105 +5 2
2. Answers have to be marked on the OMR sheet. The Question Paper contains blank spaces for your roughwork. No additional sheets will be provided for rough work.
3. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, inany form, are not allowed.
4. Before attempting paper write your OMR Answer Sheet No., Registration Number, Name and TestCentrein the space provided at the bottom of this sheet.

7/25/2019 Sample Paper 1617 c 11 Paper 2
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7/25/2019 Sample Paper 1617 c 11 Paper 2
3/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM2
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
PPhhyyssiiccss ((PPaarrttAA))
Straight Objective Type
Physics contains 35 multiple choice questions numbered 1 to 35. Each question has 4 choices (A), (B),
(C) and (D), out of which ONLY ONE is correct.1. Error in the measurement of radius of sphere is 2%. Then error in the calculation of volume will
be(A) 1% (B) 5%(C) 3% (D) 6%
2. Two forces each numerically equal to 10 dynes are acting as shown in thefollowing figure, then the resultant is :(A) 10 dynes (B) 20 dynes
(C) 10 3 dynes (D) 5 dynes60
10 dynes
10 dynes
3. The pulley mass system shown in the figure is held at rest. Pulley is light
and frictionless and string is massless. When the system is released, thework done by all the forces acting on mass m in 2s is(A) 8/9 mg
2 (B) 2/3 mg2
(C) 2/9 mg2 (D) 2/9 mg22 m
m
4. Two bodies of masses 2 kg and 4 kg are moving with velocities 10 m/s and 2 m/s towards eachother. The velocity of their centre of mass is(A) zero (B) 1 m/s(C) 2 m/s (D) 4 m/s
5. A force
F K(y i x j)
(where k is a positive constant) acts on a particle moving in theXY plane. Starting from the origin, the particle is taken along the positive Xaxis to the point (a, 0)
and then parallel to the Yaxis to the point (a, a). The total work done by the force F
on theparticle is(A) 2Ka
2 (B) 2Ka
2
(C) Ka2
(D) Ka2
6. A man of mass 60 kg is standing on a boat of mass 120 kg, floating on water. If the man comes1 m forward on the boat, then find the distance covered by the boat w.r.t. ground.(A) 0.5 m (B) 0.9 m(C) 0.2 m (D) 0.3 m
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM3
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
7. A block of mass m moving on a smooth horizontal floor, with a constant velocity v0collides with alight spring of stiffness constant k which is rigidly fixed horizontally with a vertical wall. If themaximum force imparted by the spring on the block is F, then:
(A) F m (B) F k (C) F v0 (D) all of these
8. A boy wants to climb down a rope. The rope can withstand a maximum tension equal to twothirds the weight of the boy. If g is the acceleration due to gravity, the minimum acceleration withwhich the boy should climb down the rope should be
(A)g
3 (B)
2g
3
(C) g (D) zero
9. A spherical ball falls from a height h onto a floor of coefficient of restitution e calculate the totaldistance described by ball before it comes to rest.
(A)2
2
h(1 e )
(1 e )
(B)2
2
h(1 e )
(1 e )
(C)2
22h(1 e )(1 e )
(D)2
22h(1 e )(1 e )
10. The block A in figure weights 100 N. the coefficient of staticfriction between the block and the table is 0.25. The weight of theblock B is maximum for the system to be in equilibrium. The value
of 1T is
(A) 0.25 N(B) 25 N(C) 100 N(D) 100.25 N
A
B
1T
1T 2T
2T
45
11. A body of mass 2 kg makes an elastic collision with another body at rest and continues to move in theoriginal direction with a speed equal to one third of its original speed. Find the mass of the secondbody.(A) 1 kg (B) 2 kg(C) 3 kg (D) 4 kg
12. Coefficient of kinetic friction between 3 kg and 2 kg blocks is0.3. The horizontal table surface is smooth. The acceleration ofmass 10 kg is (take g = 10 m/s2)(A) 5.87 ms
2
(B) 22.25 ms
(C)
2
1.75 ms
(D) 20.75ms
10kg
2 kg
3 kg
T1
T1
T2
T2
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM4
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
13. A 3kg ball strikes a heavy rigid wall with a speed 10 m/s at an angle of60with the wall. It gets reflected with the same speed as shown. If theball is in contact with the wall for 0.25, what B the average force exertedon the ball by the wall?(A) 300N (B) zero
(C) 153 N (D) 120 3 N
60
N
60
14. What is the maximum value of the force F such that theblock shown in the arrangement, does not move(take g = 10 m/s
2)
(A) 20 N (B) 10 N
(C) 12 N (D) 15 N
600
F
kgm 3
32
1
15. A body strikes a wall at an angle with the normal and velocity u to rebound at angle with thenormal and velocity v, then the correct relation between then will be(A) tan= ecot (B) cot= e cot(C) tan= etan (D) cot= e tan
16. The position x of a particle varies with time (t) as x = at2bt3. The acceleration at time t of the
particle will be equal to zero, where t is equal to
(A)2a
3b (B)
a
b
(C)a
3b (D) zero
17. A body of mass 5kg initially at rest explodes into 3 fragments with mass ratio 3 : 1 : 1. Two offragments each of mass m are found to move with a speed 60m/s in mutually perpendiculardirections. The velocity of third fragment is(A) 602 m/s (B) 203 m/s(C) 102 m/s (D) 202 m/s
18. A ball falls vertically on to a floor, with momentum p, and then bounces repeatedly, the coefficientof restitution is e. The total momentum imparted by the ball to the floor is
(A) p(1 + e) (B)p
1 e
(C)
1 ep
1 e
(D)
1p 1
e
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM5
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
19. A body is acted upon by a force which is inversely proportional to the distance covered. The workdone will be proportional to:(A) s (B) s
2
(C) s (D) None of the above
20. A massive ball moving with speed v collides with a tiny ball having a mass very much smaller
than the mass of the first ball. If the collision is elastic, then immediately after the impact, thesecond ball will move with a speed approximately equal to(A) v (B) 2v(C) v/2 (D)
21. A body is initially at rest. It undergoes one dimensional motion with constant acceleration. ThePower delivered to it at time t is proportional to(A) t
1/2 (B) t
(C) t3/2
(D) t2
22. If vectors P, Q and R
have magnitude 5, 12, and 13 units and P Q R
, the angle between
Q and R is
(A) 1 5cos12
(B) 1 5cos13
(C) 112
cos13
(D) 12
cos13
23. One end of a spring of natural length and spring constant k isfixed at the ground and the other is fitted with a smooth ring of massm which is allowed to slide on a horizontal rod fixed at a height asshown. Initially, the spring makes an angle of 60
owith the vertical
when the system is released from rest. Find the speed of the ringwhen the spring becomes vertical.
k
m
P
60o
(A) km
(B)2
km
(C)2 2
2
k
m
(D)
2k
m
24. A bird flies for 4 sec with a velocity of t 2 m/sec in a straight line, where t is in seconds.It covers a distance of(A) 8 m (B) 6 m(C) 4 m (D) 2 m
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM6
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
25. A moving body is covering the distance directly proportional to the square of time. Theacceleration of the body is:(A) increasing (B) decreasing(C) zero (D) constant
26. A ball is projected up an incline of 30 with a velocity of 30 ms1 at an angle of 30with the
reference to the inclined plane from the bottom of the inclined plane. If g = 10 ms2, then therange of the inclined plane is,(A) 12 m (B) 60 m(C) 120 m (D) 600 m
27. A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half ofthe distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively.The average speed of the particle during this motion is(A) 4.0 m/s (B) 5.0 m/s(C) 5.5 m/s (D) 4.8 m/s
28. A chain of length and mass m lies on the surface of a smooth
sphere of radius R > with one end held at the point P as shown infigure. If the chain is released from this position, then the tangentialacceleration of the chain just after release
(A)Rg
1 cosR
(B)Rg
cos cosR
(C)Rg
cos cosR
(D) none of these
P
29. The work done on a particle of mass m by a force
3/2 3/2
2 2 2 2
y x k i j .x y x y
k being a
constant of appropriate dimensions, when the particle is taken from the point (a, 0) to (0, a) alonga circular path of radius a about the origin in the x y plane is
(A)2k
a
(B)
k
a
(C)k
2a
(D) 0
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM7
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
30. A stone is moved in a horizontal circle of radius 1.5 m by means of a string at a height of 2 mabove the ground. The string breaks ad the particles flies off horizontally. Striking the ground10 m away. Find the centripetal acceleration during circular motion. (g = 10 m/s
2)
(A) 16.66 m/s2 (B) 66.66 m/s2(C) 166.6 m/s
2 (D) none of these
31. An aeroplane moves 400 m towards north, 300 m towards west and then 1200 m verticallyupward. Then it displacement from the initial position is(A) 1300 m (B) 1500 m(C) 1350 m (D) 1700 m
32. Two balls are thrown with the same speed but making complementary angles with the horizontal.If for first = 30, hmax= h then for second projectile hmaxis,(A) h/3 (B) 2h(C) 3h (D) 7h
33. A ball of mass m is placed between two inclined surfaces asshown in figure. The ratio of normal forces applied by two
surfaces at contact point A and B on the ball A
B
NN
is A B
3060
(A)1
3 (B)
2
3
(C) 3 (D) none of these
34. Two racing cars of masses m1 and m2 are moving in two circular paths of radii R1 and R2with same speed. The ratio of respective coefficient of friction so that the cars just take the safeturn is
(A) 1
2
RR
(B)2122
RR
(C) 2
1
R
R (D)
2221
R
R
35. A block of mass m is placed on a smooth wedge having angle of inclination . The whole systemis accelerated horizontally so that the block does not slip on the wedge. The force exerted by thewedge on the block has a magnitude.(A) mg tan (B) mg/cos(C) mg (D) mg cos
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM8
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
CChheemmiissttrryy ((PPaarrttBB))Straight Objective Type
Chemistry contains 35 multiple choice questions numbered 36 to 70. Each question has 4 choices (A),
(B), (C) and (D), out of which ONLY ONE is correct.
36. The energy change of which of the following process is called ionization energy or ionizationenthalpy ? [M is a metal]
(A) M(solid) M(gas) + e (B) M(solid) + eM(gas)(C) M(gas) M+(gas) + e (D) M(gas) + eM(gas)
37. What is the bond angle of BeCl2molecule?
(A) 120 (B) 180
(C) 109.28 (D) 90
38. The pressure produced by a definite mass of an ideal gas is
(A) directly proportional to volume at constant temperature
(B) inversely proportional to temperature at constant volume(C) directly proportional to density at constant temperature
(D) directly proportional to volume and temperature at constant molecular mass
39. Which of the following electronic transition in hydrogen atom forms a spectral line which belongsto Balmer series?
(A) n = 3 n = 1 (B) n = 4 n = 2(C) n = 5 n = 3 (D) n = 6 n = 4
40. What is the hybridization of nitrogen in NF3?
(A) sp (B) sp2
(C) sp3
(D) sp3
d
41. What volume of 0.4 M HCl solution can completely dissolve 0.96 gram of magnesium accordingto this reaction?
Mg + 2HCl MgCl2+ H2(A) 100 mL (B) 200 mL
(C) 400 mL (D) 800 mL
42. Which of the following is the smallest atom of its group as well as period?
(A) Carbon (B) Lithium
(C) Fluorine (D) Nitrogen
Space for Rough Work

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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM9
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
43. Which of the following has maximum dipole moment?
(A) CO2 (B) BF3
(C) NF3 (D) CF4
44. Which of the following term in van der Waals equation represents the intermolecular force of
attraction between gas molecules?(A) a (B) b
(C) R (D) P
45. Which of the following contains species with the correct order of electron affinity?
(A) F > Cl (B) C > N
(C) O> S (D) Na > Na+
46. Which of the following expression does not represent any gas velocity?
(A)3RT
M (B)
8RT
M
(C)2RT
M (D)
3RT
M
47. Which of the following molecule has pyramidal shape?
(A) BF3 (B) NF3(C) IF3 (D) ClF3
48. Which of the following ideal gas molecules move with the highest r.m.s velocity at constanttemperature?(A) CO2 (B) SO2
(C) CH4 (D) N2
49. Atoms having which of the following configuration has the highest value of electron gainenthalpy?(A) ns
2np
3 (B) ns
2np
2
(C) ns2np
6 (D) ns
2np
1
50. In which of the following molecules/ions both the central atoms have same type of hybridization?(A) CO2and SO2 (B) NF3and BF3(C) H2O and OF2 (D) BeCl2and SCl2
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM10
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
51. A one litre vessel contains equal weight of helium and methane gases at 200 K. What fraction ofthe total pressure is produced by helium?
(A)3
4 (B)
4
5
(C)1
5
(D)2
3
52. Which of the following orbital has two radial nodes?(A) 3s (B) 3p(C) 3d (D) 4f
53. 100 mL of FeSO4 solution required 200 mL of 0.1 M acidified KMnO4 solution for completereaction. What is the molarity of the FeSO4solution?
2 2 34 2MnO Fe H Mn Fe H O
(A) 0.5 M (B) 1 M(C) 2 M (D) 1.5 M
54. The pressure correction term in the van der Waals equation for real gases is:(A)
2
2
n a
V (B)
2n a
V
(C)2
na
V (D)
2
2
na
V
55. Which of the following ion has maximum value of spin  only magnetic moment?[At. No. of Fe = 26](A) Fe
2+ (B) Fe
3+
(C) Fe4+
(D) Fe5+
56. Which of the following change neither involve oxidation nor reduction?
(A) 3 2ClO Cl (B) 4 3NH NO (C) 2 22 7 4Cr O CrO
(D) 4 2MnO MnO
57. Which gas shows real behaviour?(A) 16 g of dioxygen at STP occupies 11.2 L(B) One gram dihydrogen in 0.5 L flask exerts pressure of 24.63 atm at 300 K(C) One mole of ammonia at 300 K and 1 atm pressure occupies 22.4 L(D) 5.6 L of CO2at STP is equal to 11 g
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
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FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
58. The oxidation number and hybridization of sulphur in S8molecule are respectively:S
S S
S
S S
S S
(A) +2 and sp2 (B) +2 and sp
3
(C) zero and sp2 (D) zero and sp
3
59. Which of the following atom has the highest value of first ionization energy?
(A) C (2s22p
2) (B) N (2s
22p
3)
(C) O (2s22p
4) (D) Si (3s
23p
2)
60. Which of the following statement is correct regarding the molecule PCl3F2?(A) F atoms are present at the equatorial position of the Trigonal bipyramidal geometry.(B) Cl atoms are present at the axial positions
(C) The dipole moment of the molecule is zero(D) All are correct
61. Which of the following set of quantum numbers does not represent any atomic orbital?
(A) n = 4, = 2, m = 1 (B) n = 3, = 0, m = 1
(C) n = 2, = 1, m = 0 (D) n = 4, = 1, m = 1
62. Which of the following has the least value of a (van der Waals constant)?(A) SO2 (B) N2(C) CO (D) He
63. How many electrons of an atom of phosphorus has/have l = 1?
(where l is azimuthal quantum number)(A) 8 (B) 3(C) 6 (D) 9
64. Which of the following molecule has angular shape?(A) BeCl2 (B) CO2(C) XeF2 (D) SnCl2
65. At high pressure, the vander Waals equation for one mole of gas reduces to
(A)2
2
n aV P RT
V
(B) P (V b) = RT
(C) PV = RT (D) None of these
Space for Rough Work

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FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
66. An electron absorbs a photon of wavelength 1and got excited. From the excited state its emitstwo photons of wavelengths 2and 3. The relation between the different wavelengths is:
(A) 1= 2+ 3 (B)1 2 3
1 1 1
(C) 1= 23 (D) 1 2 3
1 1 1
67. Which has square planar shape?(A) SeF4 (B) CF4(C) XeF4 (D) SF4
68. Which of the following relation is not followed by ideal gases?
(A)1
PV
(at constant T and n) (B)1
PT
(at constant V and n)
(C) V n (at constant T and P) (D) V T (at constant P and n)
69. Which of the following ion does not contain pibond?
(A) 23CO (B)
24SO
(C)33BO
(D) 3NO
70. 500 ml of HCl solution is required for complete reaction of a mixture containing 4 g NaOH and 5.3g Na2CO3with methyl orange indicator. What is the molarity of the HCl solution?(A) 0.25 (B) 0.2(C) 0.4 (D) 0.5
Space for Rough Work

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AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM13
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
MMaatthheemmaattiiccss ((PPaarrttCC))Straight Objective Type
Mathematics contains 35 multiple choice questions numbered 71 to 105. Each question has 4 choices
(A), (B), (C) and (D), out of which ONLY ONE is correct.
71. Let L be the set of all lines in a plane and R be a relation on L defined by 1 2l R l if and only if1 2l l then R is
(A) reflexive (B) symmetric(C) transitive (D) an equivalence relation
72. For non empty subsets A and B,(A) Any subset of A x B defines a function from A to B.(B) Any subset of A x B defines an equivalence relation(C) Any subset of A x A defines a function on A(D) None of these
73. Let X be a non empty set and P (X) be the set of all subsets of X. For A, B P X , ARB if and
only if A B then the relation(A) R is reflexive (B) R is symmetric(C) R is transitive (D) R is an equivalence relation
74. The number of lines that can be drawn from the point (2, 3), so that its distance from (1, 6) isequal to 6, is(A) 1 (B) 2(C) 0 (D) infinite
75. Suppose a, b, c, d R and 2ac b d . Consider the quadratic equation 2x 2ax b 0 and2x 2cx d 0 . Then
(A) none of these equations have real roots
(B) both the equations have real roots.(C) exactly one of the equation has real roots(D) at least one of the equation has real roots
76. If the roots of the equation1 1 1
x a x b c
(1)
are equal in magnitude but opposite in sign, then their products is
(A) 2 21
a b2
(B) 2 21
a b2
(C)1
ab2
(D)1
ab2
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
15/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM14
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
77. The angle between the straight lines x2+ 4xy + y
2= 0 is
(A) 300 (B) 450(C) 60
0 (D) none of these
78. If the point (a, a) falls between the lines x + y = 2, then(A) a = 2 (B) a =1
(C) a < 1 (D) a < 1/2
79. If tan cot a then the value of 4 4tan cot (A) 4 2a 4a 2 (B) 4 2a 4a 2 (C) 2 2a 4a 2 (D) none
80. If the ratio of the roots of the equation 2x bx c 0 is the same as that of the ratio of the rootsof
2x qx r 0, then
(A) 2 2br qc (B) 2 2cq rb
(C)2 2 2 2q c b r (D) bq rc
81. If a and b are the non zero distinct roots of2
x ax b 0, then the least value of2
x ax b is
(A)2
3 (B)
9
4
(C)9
4
(D) 1
82. If 2 3 4 5 61 y 1 2x 4x 8x 16x 32x 1 y , y 1 , then a value ofy
xis
(A)1
2 (B) 2
(C) 14 (D) 4
83. If22
7and appear as two distinct terms of an A.P. then common difference of the A.P. must be
(A) an integer (B) a rational number(C) an irrational number (D) 0
84. Letmm times
a 11...1, then which of the following is a prime number?
(A) 4a (B) 5a
(C)91
a (D)100
a
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
16/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM15
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
85. If a cos b sin 3 and a sin bcos 4 then 2 2a b has the value =(A) 25 (B) 14(C) 7 (D) none
86. If a, b, c are in A.P. p, q, r are in H.P. and ap, bq, cr are in G.P., thenp r
r p
is equal to
(A)a c
c a (B)
a c
c a
(C)b q
q b (D)
b a
q p
87. The value ofo o o otan1 tan2 tan3 .......tan89 is
(A) 1 (B) 0
(C) (D)1
2
88x
1sinlim
0x
(A) 0 (B) (C) 1 (D) doesnt exist
89. The value ofx
balim
xx
0x
is
(A) loge
b
a (B) loge
a
b
(C) loge(ab) (D) none of these
90.xxtan
eelim
xxtan
0x
is equal to
(A) 1 (B) e(C) 1 (D) 0
91. nthterm of 5, 3, 1, 1, 3, 5, is(A) 2n 7 (B) 7 2n(C) 2n + 3 (D) 2n + 5
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
17/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM16
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
92.x
3
2sin x3
lim1 2cos x
is
(A)1
2
(B)2
3
(C)2
3 (D)
1
3
93.3
3x
4
1 cot xlim
2 cot x cot x
is
(A)11
4 (B)
3
4
(C)1
2 (D) none of these
94. If three points (h, 0), (a, b) and (0, k) lie on a line then
(A) ah bk 1 (B)a b
1h k
(C) ak bh 1 (D)a b
1k h
95. If the point (a, b) divides a line between the axes I the ratio 2 : 3, the equation of the line is(A) ax by 5 (B) bx ay 5
(C)2x 3y
5a b
(D) 2ax 3by 5
96. P is a point on x axis, Q is a point on y axis. Both are equidistant from the points (7, 6) and (3,4). Distance between P and Q is:
(A) 2 5 (B) 15 5
(C)15 5
2 (D)
5 15
2
97. A line perpendicular to the line segment joining the points (7, 3) and (3, 7) divides it in the ratio 1 :3, the equation of the line is(A) x y 10 0 (B) x y 4 0 (C) x y 2 0 (D) x y 2 0
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
18/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM17
FIITJEE
L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2 webs i t e : ww w . f i i t j e e. com
98. If the distance between the parallel lines 3x 4y 7 0 and ax y b 0 is 1, the integralvalue of b is(A) 1 (B) 2(C) 3 (D) 4
99. If the line 3x y 1 0 and x 2y 3 0 are equally inclined to the line y mx, then thevalue of m is given by
(A) 22m 7m 7 0 (B) 27m 7m 2 0 (C) 27m 2m 7 0 (D) 22m 7m 2 0
100. The nth terms of the two series 3 + 10 + 17 + . and 63 + 65 + 67 + are equal, then the
value of n is(A) 9 (B) 13(C) 19 (D) none of these
101. In any triangle ABC the angles A, B, C are in A.P, then the value of sin 2B is given by
(A) 1/2 (B) 3 /2
(C) 1/ 2 (D) none of these
102. Ifp q
cosecp q
where p q 0, then cot
4 2
is equal to:
(A)p
q (B)
q
p
(C) pq (D) pq
103. If 2cos sin 1, 4k 1 , k I
2
then 7cos 6sin is equal to :
(A)1
2 (B) 2
(C)11
2 (D)
46
5
104. The number of solutions of the equation tan x sec x 2cos x, x 0, 2 is(A) 1 (B) 2(C) 3 (D) 0
105. If cos1+ 2 cos2+ 3 cos3= 6 then tan1+ tan2+ tan3equals to
(A) 1/2 (B) 6(C) 0 (D) 3
Space for Rough Work

7/25/2019 Sample Paper 1617 c 11 Paper 2
19/19
AT201617(SAMPLE PAPER)BBET+TRECXI (Paper2)PCM18
FIITJEE L t d . , F II T JEE Hou s e, 2 9 A , K a l u S a r a i , S a r v a p r i y a V i h a r , N ew Del h i 1 1 0 0 1 6 , Ph 4 6 1 0 6 0 0 0 , F a x 2 6 5 1 3 9 4 2
FIITJEESAMPLE PAPER 2015forstudents presently in
Class 11Paper 2
ANSWERS1. D 2. A 3. D 4. C5. C 6. D 7. D 8. A9. B 10. B 11. A 12. A13. D 14. A 15. B 16. C
17.A
18.C
19.D
20.B
21. B 22. B 23. A 24. C25. D 26. B 27. A 28. C29. C 30. C 31. A 32. C
33. A 34. C 35. B 36. C
37. B 38. C 39. B 40. C
41. B 42. C 43. C 44. A
45. B 46. D 47. B 48. C
49. B 50. C 51. B 52. A
53. B 54. A 55. B 56. C
57. C 58. D 59. B 60. C
61. B 62. D 63. D 64. D
65. B 66. B 67. C 68. B69. C 70. C 71. B 72. D73. B 74. C 75. D 76. B77. C 78. C 79. B 80. B81. C 82. B 83. C 84. B85. A 86. A 87. A 88. D89. A 90. A 91. B 92. B93. B 94. B 95. C 96. C97. D 98. C 99. C 100. B101. B 102. A 103. B 104. B105. C