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Roll No.:
Centre Code:
TEST No. 3
Test Date:
Test Booklet Code
JEE (Main) 2014
for
A L L
I N D
I A A A
K ASH T E S T
S E R I E
S
PAPER - I
INSTRUCTIONS FOR CANDIDATE1. Readeach question carefully.
2. It is mandatory to use Black Ball point PEN to darken theappropriate circle in the answer sheet.
3. Mark shouldbe dark andshould completely fill thecircle.
4. Rough work must notbe done on theanswer sheet.
5. Do not use white-fluid or any other rubbing material onanswer sheet.
6. Student cannot use log tables and calculators or any other material in the examination hall.
7. Before attempting the question paper, student shouldensure that the test paper contains all pages and no pageis missing.
8. Before handing over the answer sheet to the invigilator,candidate should check that Roll No., Centre Code andDate of Birth havebeen filled and marked correctly.
9. Immediately after the prescribed examination time is over,the answersheetto be returned to theinvigilator.
There are parts in the question paper A, B and Cconsisting of , andhaving 30 questions in each part of equal weightage. Eachquestion is allotted 4 marks for each correctresponse.
three
Physics Chemistry Mathematics
(four)
10.
11. The Test booklet consists of 90 questions. The maximummarks are360.
12. One fourth (¼) marks will be deducted for indicatingincorrect response of each question. No deduction fromthe total score will be made if no response is indicated for anyquestion in theanswer sheet.
13. Patternof the questions areas under:
Section – I : Straight ObjectiveQuestions
Section – II : Assertion– ReasonType Questions
1 5 / 1 2 / 2 0 1 3
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TOPICS OF THE TEST
Test No. 3
Physics Gravitation, Mechanical Properties of Solids, Mechanical Properties of
Fluids, Oscillations
Chemistry The Solid State, Solutions, Electrochemistry, Chemical Kinetics, Surface
Chemistry
Mathematics Trigonometric Functions (Transformation Formulae, Trigonometric
Equations, Properties of Triangle), Inverse Trigonometric Functions
Paper I
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PART - A (PHYSICS)
SECTION - IStraight Objective Type Questions
This section contains 25 multiple choice questions
numbered 1 to 25. Each question has 4 choices (1), (2),(3) and (4), out of which ONLY ONE is correct.
Choose the correct answer :
1. A particle of mass m is released from a distance 4R from the centre of a planet of radius R and mass M .The particle travels, through a tunnel leading to itscentre of the sphere. The ratio of its speed at B and
C is
(1) 35
(2)2
74R
R C B
A
(3)2
3
(4)5
7
2. A water drop falls in air with constant velocity. Thedifference in curvature of radii r 2 – r 1 of the drop'ssurface at upper and lower point separated by the
distance h is proportional to (assume that r 2 – r 1
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5. An air bubble is at a depth h below the free surfaceof water. If pressure inside the bubble is three time
that of atmospheric pressure (P 0). The radius of thebubble is given by
[ = density of water, T = surface tension]
(1)0
3T
P gh (2)
0
2
2
T
P gh
(3)0
3
3 2
T
P gh (4)
0
2
2
T
P gh
6. A hemispherical water drop drips from a capillary.
When the drop breaks from the capillary its mass is
m . If the radius of capillary is R 1 then surface tensionof water is
(1)mg
R (2)
2mg
R
(3)2
mg
R (4)
2
mg
R
7. A uniform rod of length and density is rotated withan angular velocity about one of its ends O as
shown in the figure. The stress at a distance3
4
from O is
O
(1)2 25
16
(2)
2 27
16
(3)2 27
32
(4)
2 25
32
8. A small hole is made at depth 3h on a side wall ofa cylindrical vessel, filled with an ideal liquid. The
hole is at a height h from the base of the vessel.The speed by which it strikes the floor is
h
3h
(1) 2 gh (2) 2 2gh
(3) 4 gh (4) 2 3gh
9. A tank is f i lled with a l iquid moving with anacceleration as shown in the figure. The free surfacemakes an angle with the horizontal, the is
37°
a g =
(1)–1 3tan
4(2)
–1 4tan3
(3)–1 1tan
2(4)
–1 2tan3
10. The speed v of a particle moving along x -axis is given
by 216 48 (cm/s)v x x . The amplitude of
oscillation is
(1) 1 cm (2) 2 cm
(3) 3 cm (4) 4 cm
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11. A block of mass m is connected to three springs asshown in the figure. The block is displaced down
slightly, from its mean position. The time period ofoscillation is
m
30º 30º
2k 2k
k
(1) 2m
k (2)
m
k
(3) 22
m
k (4) 4
m
k
12. The point of suspension of a simple pendulum oflength is accelerated at an angle 60º with thevertical with an acceleration a = g (m/s2) as shownin the figure. The time period of oscillation of thependulum is given by
60° a g =
(1) 22g
(2) 23g
(3) 23g
(4) 43g
13. A body is projected from between two planets
A and B of masses M and 2M respectively as shown
in the figure, such that it escapes from their field. Itsescape velocity is
(1)GM
d
(2) 3GM d
v e B
A
2d 2M M
d
(3)5GM
d
(4)7GM
d
14. Two bodies of mass m and 4m are placed at adistance r apart. The gravitational potential at a pointwhere gravitational field is zero.
m 4m
A B r
(1)3GM
r
(2)
6GM
r
(3)9GM
r
(4)
12GM
r
15. A solid sphere of radius R is floating at the interfaceof two immiscible liquids of densities and 0(0 > ) such that half of volume lying in each. Ifatmospheric pressure is P 0, then the forceexperiented by the upper half of the sphere is
(1)37
3R g
(2)2 3
0
7
3P R R g
3R
0(3)
2 30
7
3P R R g
(4)2
0P R
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16. A block of mass 1 kg is suspended from a spring ofspring constant 2. The spring is now cut into two
identical halves and same block is suspended fromone of the two pieces such that one of the piecetouch the other below in its equilibrium position. Thefrequency of small oscillation of mass will be
1 kg
(1) 2 (2) 2 2
(3) 2 2 1 (4) 2( 2 1)
17. A ball of density = 3 is released from rest fromthe centre of an accelerated sealed troughcompletely filled with liquid of density . If the troughmoves horizontal with an acceleration a0, the
acceleration of the ball with respect to the trough isgiven by
(1) 2 20a g (2)
2 20
2
a g
(3)2 20
3
a g (4)
2 20 4
3
a g
18. If the radius of earth's orbit be made
th1
4
, then the
duration of an year will become
(1) 8 times (2) 4 times
(3)1
times8
(4)1
times4
19. At a distance 320 km above the surface of earth, thevalue of acceleration due to gravity will be lower than
its value on the surface of earth by nearly(R e = 6400 km)
(1) 2% (2) 6%
(3) 10% (4) 14%
20. A solid of density D is floating in a liquid of density
d (> D ). If v 1 be the volume of solid submerged in theliquid and v 2 be the volume of solid NOT submerged
in the liquid, then1
2
v
v is equal to
(1)D
d (2)
d
D
(3)D
d D (4)
D
d D
21. Two masses m and 2m at an infinite distance fromeach other initially at rest, start interacting
gravitationally. Their velocity of approach when theyare at a distance r apart
(1)2Gm
r (2)
3Gm
r
(3)6Gm
r (4)
32
Gm
r
22. In the figure shown, a spring fixed to wall is initially
undeformed. Now it is compressed by 2A .
Consider the collision of block with wall to beperfectly elastic. The time period of oscillation is
m
k
A
(1) 2m
k (2) 4
m
k
(3)3
2
m
k
(4)
5
2
m
k
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23. Two spherical balls of radii 2r and r and of density
are tied up with a light string and released in a
viscous liquid of density > , with the string just
taut. The tension in the string, when spheres attain
terminal velocity is
2r
r
(1)33 ( – )
5r g
(2)
310 ( )3
r g
(3)38
( – )3 r g
(4)35
( – )3 r g
24. A planet of mass m moves around the sun of mass
M along an elliptical orbit such that its minimum and
maximum distance from sun are r and 3r
respectively. Its period of revolution will be
(1)32
4r
GM (2)
3
2r
GM
(3)
32r
GM (4)
3
2 2
r
GM
25. A particle moves according to the law, cos2
t x r
.
The distance covered by it in the time interval
between t = 0 to t = 2 s is
(1) r (2) 2r
(3) 3r (4) 4r
SECTION - II
Assertion – Reason Type Questions
Directions : Questions number 26 to 30 are Assertion-
Reason type questions. Each of these questions
contains two statements. Statement-1 (Assertion) and
Statement-2 (Reason). Each of these questions also has
four alternative choices, only one of which is the correct
answer. You have to select the correct choice.
26. Statement-1 : The word weightlessness means zerocontact force but not zero weight of the object.
and
Statement-2 : Weight = Mass × acceleration due to
gravity.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
27. Statement-1 : Pressure at different points at samedepth or height will not be equal for a horizontallyaccelerating liquid.
and
Statement-2 : Pressure decreases with horizontal
distance measured in the direction of acceleration in
a fluid moving with horizontal acceleration.(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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SECTION - IStraight Objective Type Questions
This section contains 25 multiple choice questionsnumbered 31 to 55. Each question has 4 choices (1), (2),
(3) and (4), out of which ONLY ONE is correct.
31. The overall rate law of the following complex reactionis
1
–1
K
2K
2A A (fast equilibrium)
2
–2
K
KA + B C (fast equilibrium)
3K
2A + C P + 2A (slow)
PART - B (CHEMISTRY)
28. Statement-1 : The angular speed of a planet isminimum when it is farthest from the sun.
and
Statement-2 : Angular momentum of a planetrevolving around the sun is conserved.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
29. Statement-1 : Poisson's ratio cannot be greater than0.5.
and
Statement-2 : Poisson's ratio is a characteristicproperty of a body.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
30. Statement-1 : In case of simple harmonic motion,average total energy of oscillations per cycle is equal
to its maximum kinetic energy.and
Statement-2 : Average kinetic energy per cycle isequal to half of its maximum kinetic energy for aparticle executing S.H.M. Further, total energy ofoscillation is equally distributed among kineticenergy and potential energy at instants.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
(1)1 2 3
–1 –2
K K K
K K[A]3[B]
(2)1 –2 3
–1 2
K K K
K K[A][B]3
(3)–1 –2 3
1 2
K K K
K K[A][B]2
(4)1 2 3
–1 –2
K K K
K K[A][B]
32. Co-ordination no. of Fe+3 in Fe3O4 is
(1) 4 only (2) 6 only
(3) 4, 6 (4) 8
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33. In one kg solvent (NH3), addition of which decreasemelting point up to least extent
(1) 1 mole of AgCl
(2) 1 mole of CH3COOH
(3) 1 mole of HCl
(4) 1 mole of AgI
34. A chemical reaction is carried out at 600 K. If thesame reaction is carried out in the presence of acatalyst at same rate, temperature required is 500 K.Calculate activation energy if catalyst lowers it by50 kJ/mol
(1) 100 kJ/mol
(2) 300 kJ/mol
(3) 400 kJ/mol
(4) 600 kJ/mol
35. On dilution conductance of strong electrolyte
increases because(1) Solute - solute interaction decreases
(2) Solute - solvent interaction decreases
(3) Solvent - solvent interaction decreases
(4) Degree of dissociation increase
36. Which of the following have maximum flocculationvalue of a As2S3 solution?
(1) AlCl3
(2) BaSO4
(3) NaCl(4) Na3PO4
37. Which of the following half cell have highestreduction potential?
(1) Ag+ + e– Ag
(2) AgCl + e– Ag + Cl–
(3) AgBr + e– Ag + Br–
(4) AgI + e– Ag + I–
38. Correct sequence of molecular weight ofnon-electrolytic solute in following graph
A
B
C
osmoticPressure
Weight of solute
(1) MC > MB > MA (2) MA = MB = MC
(3) MA > M
B > M
C(4) CBA
MMM = =
2 4
39. Rate of evaporation of a liquid is always faster at ahigher temperature because
(1) Enthalpy of vaporisation is zero
(2) Enthalpy of vaporisation is always endothermic
(3) Enthalpy of vaporisation is always exothermic
(4) Internal pressure of the liquid is less than that ofgas
40. Which one of the following is an example of amaximum boiling azeotropic?
(1) H2O – HCl (2) H2O – C2H5OH
(3) CHCl3 – CH3OH (4) CCl4 – CH3OH
41. Out of following which is an example of ionic solid?
(1) PF5 (2) PCl5
(3) CO2 (4) H2SO442. Correct regarding process of adsorption of H2 on a
platinum surface is (overall process)
H S G
(1) +ve +ve –ve
(2) –ve +ve –ve
(3) –ve –ve –ve
(4) +ve –ve +ve
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43. Lattice parameter for monoclinic crystal system
(1) a b c =
(2) a = b c =
(3) a b c
(4) a = b = c =
44. Identify incorrect matchElectrolyte Electrode Anode Cathode
(1) aq. CuSO4 Inert O2 Cu
(2) aq. CuSO4 Cu O2 Cu
(3) Molten NaCl Inert Cl2 Na
(4) aq. NaCl Inert Cl2 H2
45. When FeCl3 solution is added to NaOH a negativelycharged solution is obtained it is due to the
(1) Pressure of basic group
(2) Preferential adsorption
(3) Electron capture by solution particles
(4) Self dissociation
46. Number of formula unit present in one unit cell ofCsCl is
(1) 4
(2) 2
(3) 6
(4) 1
47. Ratio of osmotic pressure of two solutions of equalweight of glucose and urea at 300 K and 600 Krespectively
(1) 1 : 1
(2) 1 : 2
(3) 1 : 6
(4) 1 : 4
48. The graph between t1/2 versus concentration for a 2nd
order chemical kinetics is
(1)
1
2
t
concentration
(2)
1
2
t
concentration
(3)
1
2
t
concentration
(4)
1
2
t
concentration
49. Silicon crystallizes in a structure similar to diamond.Find the density of silicon if Si – Si bond length is1.88 Å.
(1) 2.23 g/cm3 (2) 4.51 g/cm3
(3) 6.23 g/cm3 (4) 8.46 g/cm3
50. Which of the following graph represent chemicaladsorption?
(1)
x
m
T
(2)
x
m
P
(3)
x
m
P
T2T1
(T > T )2 1
(4)
x
m
T
T1
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51. Which of the following have highest osmotic
pressure if 1 mole of each is added in one litre
solution?
(1) K4[Fe(CN)6]
(2) [Co(NH3)6]Cl3
(3) Fe4[Fe(CN)6]3
(4) AlCl3
52. Choose correct regarding points A and B in following
graph
Solvent Solution
A
B
SolidV.P.
T(1) Vapour pressure at both points is same
(2) Equilibrium constant at both points is same
(3) Mole fraction of solvent is same
(4) At A equilibrium exist between H2O(ice) and
H2O(l) while at B exist H2O (ice) + solute and
H2O(l)
53. Following equation give relation between conductance
and concentration
12
m m AC
value of A depend on
(1) Solvent only
(2) Type of electrolyte only
(3) Solvent and type of electrolyte
(4) Charge on cation electrolyte only
54. Choose the correct regarding catalyst
(1) It changes the G of the reaction
(2) It catalyses spontaneous as well as
non-spontaneous reaction
(3) It changes activation energy of reaction
(4) All of these
55. Catalyst used in following reaction is x
X2 3CO(g) + 2H (g) CH OH(g)
x is
(1) Ni (2) Cu
(3) Pt (4) Cu/ZnO – Cr2O3
SECTION - II
Assertion – Reason Type Questions
Directions : Questions number 56 to 60 are Assertion-
Reason type questions. Each of these questions
contains two statements. Statement-1 (Assertion) and
Statement-2 (Reason). Each of these questions also has
four alternative choices, only one of which is the correct
answer. You have to select the correct choice.
56. Statement-1 : Activity of an enzyme depend on
temperature and pH of the medium.
and
Statement-2 : Activity of catatyst is highest at
pH = 0.
(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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PART - C (MATHEMATICS)
SECTION - IStraight Objective Type Questions
This section contains 25 multiple choice questionsnumbered 61 to 85. Each question has 4 choices (1), (2),(3) and (4), out of which ONLY ONE is correct.
61. The number of all possible triplet (a1, a2, a3) such
that a1 + a2sinx + a3cosx = 0 holds for all x is
(1) Zero (2) 1
(3) 2 (4) Infinite
57. Statement-1 : Fe3O4 retain its ferrimagnetism insolid state and in solution.
and
Statement-2 : In Fe3O4, magnetic moment of thedomains in the substance are aligned in parallel andunparallel direction in unequal number.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
58. Statement-1 : Frenkel defect have no effect ondensity of the crystal.
and
Statement-2 : Frenkel defect is stochiometric defectand in stochiometric defect Z does not change.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
59. Statement-1 : On mixing of two component resultingthe formation of ideal solution Hmixing = 0,
G mixing of the process is negative.
and
Statement-2 : Driving force responsible for mixing isincrease in entropy of the system.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
60. Statement-1 : Rate of reaction increases with rise intemperature.
and
Statement-2 : With rise in temperature thresholdenergy decreases.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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62. The value of2 2 23 5cos cos cos .....
16 16 16
2 15cos16
is equal to
(1) 2 (2) 3
(3) 4 (4) 2 2 3
63. The least value of 36cosec2 + sec2 is given by
(1) 37 (2) 49
(3) 142 (4) 7
64. The number of ordered pairs (a, x ) satisfying theequation cosec2(a + 2)x + a2 – 1 = 0, – < x < and a is real, is
(1) 2 (2) 4
(3) 0 (4) Infinite
65. The equation sin4x – (k + 1)sin2x – (k + 2) = 0possesses a solution if
(1) k > –2 (2) k < –1
(3) –2 k – 1 (4) k R
66. The most general values of for which sin – cos= min (1, a2 – 4a + 6) are given by
aR
(1) ( 1)4 4
n n
, n Z
(2) ( 1)4 4
n n
, n Z
(3) 24
n , n Z
(4) 2n , n Z
67. The number of solutions of the equation sin5x .cos3x =
sin9x .cos7x lying in the interval 0,2
is
(1) 6 (2) 7
(3) 8 (4) 9
68. If1
cos2 ( 2 1) cos2
, then the most
general values of is
(1) 2 , 24 3
n n
(2) 2 , 24 3
n n
(3) 2 , 24 3
n n
(4) ,4 3
n n
69. Least posit ive integral value of x satisfying
(e x – 2) (sinx – cosx ) (x – log2)1
cos 02
x
is
(1) 3 (2) 1
(3) 4 (4) 2
70. The value of 1 1
cos cos 2cot ( 2 1)
is equal to
(1) 2 1 (2) 1 2
(3)4
(4)
3
4
71. The value of sec2(tan–14) + cosec2(cot–15) is equal
to
(1) 43 (2) 39
(3) 41 (4) 37
72. If [tan–1x ]2 – 4[tan–1x ] + 4 0, where [.] denotes greatestinteger x , then x belongs to
(1) [tan2, tan3)
(2) (tan2, )
(3) ,4 2
(4) No values of x is possible
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73. In a PQR , the length of sides opposite to thevertices P , Q , R are p , q , r respectively. Then
2 22 2– cos sin
2 2
P P q r q r is equal to
(1) p 2 (2) q 2
(3) r 2 (4) qr
74. Number of real roots of the equation sec + cosec =
15 lying between 0 and is
(1) 0 (2) 2
(3) 4 (4) 8
75. The number of solutions of the equation
2sin 2( 2014) 20152 2014
x x x
(1) Forms an empty set (2) Is only one
(3) Is only two (4) Is more than 2
76. If 32tan8 = 2cos2 – 3cos and 3cos2 = 1, then
the general value of is
(1) 23
n
(2)2
23
n
(3)2
23
n
(4) 2n
77. The equation sin4x + cos4x + 3sin2x + 4 = 0 issolvable for
(1)1 12 2
(2)1 1
8 8
(3)7 5
8 8
(4) R
78. The value of tan610º – 9tan410º + 11tan210º is equal to
(1) 1
(2)2
3
(3)1
3
(4)1
3
79. The number of real solutions of the equation
1 2 1 2tan 3 2 cos 4 3x x x x is
(1) One
(2) Two
(3) Zero
(4) Infinite
80. Sum of the inf inite terms of the series
1 2 1 2 1 23 3 3cot 1 cot 2 cot 3 ...4 4 4
is
(1)3
(2)4
(3) tan–12
(4) tan–13
81. If 2s be the perimeter of the triangle ABC , then the
value of 2 2cos cos2 2
B Aa b
is equal to
(1) s (2) 2s
(3)2
s (4)
3
2
s
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82. Two sides of a triangle are given by the roots of the
equation 2 2 3 2 0x x . The angle between the
sides is3
. The perimeter of the triangle is
(1) 6 3
(2) 2 3 6
(3) 2 3 10
(4) 3 6
83. In a triangle ABC , the sides a, b and c are the rootsof x 3 – 8x 2 + 17x – 10 = 0. Then the value of
cos cos cosA B C
a b c equals
(1)3
4
(2)3
2
(3) 1 (4)9
16
84. If in a triangle ABC , the line joining incentre andcircumcenter is parallel to the side AB , then thevalue of cosA + cosB is equal to
(1) 0
(2) 1
(3) 2
(4) –1
85. If the area of a triangle ABC is c 2 – (a – b )2, thenthe value of tanC is equal to
(1)4
3(2)
1
4
(3)8
15(4) 4
SECTION - II
Assertion – Reason Type Questions
Directions : Questions number 86 to 90 are Assertion-
Reason type questions. Each of these questions
contains two statements. Statement-1 (Assertion) and
Statement-2 (Reason). Each of these questions also has
four alternative choices, only one of which is the correct answer. You have to select the correct choice.
86. Statement-1 : The equation sin2x – 5sinx + 6 = 0
has no real solution.
and
Statement-2 : |sinx | 1 x R .
(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
87. Statement-1 : The maximum value of
sin2014 + cos2014 is 1.
and
Statement-2 : sin2014 sin2 and cos2014 cos2.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation for
Statement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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88. Statement-1 : tan + 2tan2 + 4tan4 + 8tan8 +..... + 32tan32 + 64cot64 = cot.
and
Statement-2 : cot – tan = 2cot2.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;
Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
89. Statement-1 : If x > 1, then
31 1 1
2 2
3 2tan tan 5 tan
1 3 1–
x x x x
x x
.
and
Statement-2 : For x 1,
1 1
2
2tan 2 tan
1–
x x
x
and
31 1
2
3tan 3 tan
1 3
x x x
x
.
(1) Statement-1 is True, Statement-2 is True;Statement-2 is a correct explanation for
Statement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
90. Statement-1 : If in the triangle ABC , the incentre is
the middle point of the median AD , then1
cos4
A .
and
Statement-2 : If in a triangle ABC , the incentre isthe middle point of the median AD , then ABC is an
isosceles triangle.
(1) Statement-1 is True, Statement-2 is True;
Statement-2 is a correct explanation forStatement-1
(2) Statement-1 is True, Statement-2 is True;Statement-2 is NOT a correct explanation forStatement-1
(3) Statement-1 is True, Statement-2 is False
(4) Statement-1 is False, Statement-2 is True
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Test Booklet Code
Test No. 2
Paper I
JEE (Main) 2014
for
A L L
I N D I
A A A
K ASH T E S T
S E R I E
S
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Test - 2 (Paper-I) (Answers & Hints) All India Aakash Test Series for JEE (Main)-2014
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ANSWERS
1. (3)
2. (1)
3. (2)
4. (1)
5. (3)
6. (4)
7. (3)
8. (3)
9. (3)
10. (2)
11. (3)
12. (1)
13. (3)
14. (4)
15. (1)
16. (4)
17. (3)
18. (4)
19. (1)
20. (3)
21. (4)
22. (3)
23. (4)
24. (3)
25. (2)
26. (2)
27. (2)
28. (1)
29. (3)
30. (2)
PHYSICS CHEMISTRY MATHEMATICS
31. (1)
32. (4)
33. (3)
34. (1)
35. (2)
36. (1)
37. (2)
38. (2)
39. (1)
40. (1)
41. (2)
42. (2)
43. (3)
44. (4)
45. (2)
46. (4)
47. (3)
48. (1)
49. (1)
50. (2)
51. (3)
52. (1)
53. (3)
54. (4)
55. (2)
56. (1)
57. (3)
58. (4)
59. (1)
60. (4)
61. (4)
62. (4)
63. (2)
64. (3)
65. (2)
66. (1)
67. (4)
68. (2)
69. (4)
70. (2)
71. (3)
72. (2)
73. (2)
74. (1)
75. (2)
76. (4)
77. (4)
78. (3)
79. (2)
80. (1)
81. (2)
82. (3)
83. (3)
84. (2)
85. (2)
86. (1)
87. (4)
88. (1)
89. (1)
90. (1)
TEST - 2 (Paper-I)