AIATS-3 COVERS 2014 - JEE Advanced Blog...All India Aakash Test Series for JEE (Advanced)-2014 Test - 3 (Paper-II) 4/19 8. A steel wire of diameter 0.8 mm and length 2 m is stretched

Space for Rough Work

Test - 3 (Paper-II) All India Aakash Test Series for JEE (Advanced)-2014

1/19

PART - I : PHYSICS

SECTION - 1

Only One Option Correct Type

This section contains 6 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY

ONE is correct.

1. A small ring of radius r rolls without slipping inside a fixed hollow cylinder of radius R with small oscillations about

stable equilibrium as shown in the figure. The frequency of oscillation is

r

R

(A) ( )1

2 –

g

R rπ (B) ( )1 2

2 –

g

R rπ

(C) ( )1 3

2 2 –

g

R rπ (D) ( )1

2 2 –

g

R rπ

2. The radii of the core and that of the planet are R and 3R and the densities of core of planet and that of outer shell are

ρ and ρ′. If the gravitational acceleration is same at surface and at a depth 2R from the surface, then ratio ρρ′ is

3R

(A) 12 : 5 (B) 13 : 4

(C) 15 : 1 (D) 17 : 3

TEST - 3 (Paper - II)Time : 3 Hrs. MM : 186


All India Aakash Test Series for JEE (Advanced)-2014 Test - 3 (Paper-II)

2/19

3. A planet of mass M and radius R rotates with an angular velocity ω = 3

GM

R . A tunnel lies in the equatorial plane and

passes through the centre of the planet. The acceleration of an object w.r.t. tunnel at a distance x from the centre is

(A) 3

GMx

R(B) 3

2GMx

R

(C) 32

GMx

R(D) Zero

4. A rectangular tank of height h filled with water is placed near the bottom of a plane inclined at an angle 45° with

horizontal. At height 10 m from bottom a hole is made such that stream coming out from hole strikes the inclined

plane normally. Then h is nearly

45°

h

10 m

(A) 19.2 m (B) 17.3 m

(C) 15.2 m (D) 13.3 m

5. A thin uniform ring of cross-sectional area a and radius R is rotated about an axis passing through its centre and

perpendicular to its plane with angular velocity ω. If density of wire and Young's modulus of elasticity are ρ and Y

respectively, then the ratio of its K.E. and elastic P.E. is

(A) 2 2

2Y

Rρ ω

(B) 2 2

2

3

Y

Rρ ω

(C) 2 22

Y

Rρ ω

(D) 2 2

Y

Rρ ω



3/19

6. Air is blown across the top of the tube as shown in the figure such that water rises to a height h. If the speed of

air is 25 m/s, then h is equal to [Take density of air is 1.8 kg/m3 and neglect surface tension]

h

(A) 1.23 cm (B) 2.04 cm

(C) 5.62 cm (D) 7.02 cm

SECTION - 2

One or More Options Correct Type

This section contains 5 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) out of which ONE

OR MORE are correct.

7. Two springs of spring constants k1 and k

2 are connected in series such that one end is fixed and the other is

connected to a block of mass M as shown in figure. The block is pulled to right from its equilibrium position by a

distance x0 and released, select the correct alternative(s)

M

Ak1

k2

(A) Displacement of A is 0

2

x

(B) Displacement of A is +1 0

1 2

k x

k k

(C) Displacement of A is +2 0

1 2

k x

k k

(D) Time period of resulting oscillatory motion of the block is +π 1 2

1 2

( )2

M k k

k k



4/19

8. A steel wire of diameter 0.8 mm and length 2 m is stretched between rigid support separated by horizontal distance

of 2 m. Now, a load is hung at the centre to produce a stress of 1010 N/m2. Then [Y = 1012 N/m2]

(A) The displacement of point of suspension is nearly 14.2 cm

(B) The elongation in the wire is 2 cm

(C) The elastic potential energy in the wire under this load is 16 πJ

(D) The elastic potential energy in the wire under this load is 80.2 J

9. A solid sphere of mass 3 kg and specific gravity 0.8 is held stationary relative to a tank filled with water as shown

in the figure. The tank accelerates vertically upward with a = 4 m/s2. [Take g = 10 m/s2]

a

(A) The tension in the thread increases due to acceleration of tank

(B) The tension in the thread decreases due to acceleration of tank

(C) If the thread snaps, the acceleration of the sphere w.r.t tank is 2.5 m/s2

(D) If the thread snaps the acceleration of the sphere w.r.t. tank is 3.5 m/s2

10. A block A of mass 1 kg is suspended by an inextensible thread passing over a solid, uniform cylinder B of radius

5 cm and mass 5 kg hinged to rotate without friction. The other end of the thread is attached with a spring as shown

in the figure. During the motion of the block, thread does not slip over the cylinder.

A

B

k = 200 N/m

(A) When the block is in equilibrium, the elongation in the spring is 5 cm

(B) When the block is in equilibrium, the elongation in the spring is 10 cm

(C) If block is pulled down slowly and released, then the time period of oscillation is 5

3π s

(D) If block is pulled down slowly and released, then the time period of oscillation is 7

10π s



5/19

11. A large tank having a small hole on its wall is kept on a smooth horizontal surface. The tank is held with the help

of a wire attached to wall as shown in the figure.

H

h

v

x

(A) The speed of efflux v increases parabolically with increase in h

(B) x first increase and then decreases with increase in h

(C) The tension in the wire increases linearly with h

(D) The maximum value of x is H

SECTION - 3

Paragraph Type

This section contains 2 paragraphs. Each describing theory, experiment, data etc. Four questions relate to two paragraphs

with two questions on each paragraph. Each question of a paragraph has only one correct answer among the four choices

(A), (B), (C) and (D).

Paragraph for Question Nos. 12 to 13

A spring of force constant 80 N/m is fixed with top of left limb of a U tube and piston of mass 30 g is attached with

lower end of the spring as shown in the figure. The cross-sectional area of the tube is 1 cm2. Water is poured into

right limb till elongation of the spring reduces to 3 mm.

h

12. The difference h between levels of water in right limb and lower face of the piston is

(A) 15 mm (B) 30 mm

(C) 45 mm (D) 60 mm



6/19

13. If mass of the water column is 100 g then time period of oscillation is [Neglect atmospheric pressure]

(A)13

5 82

π(B)

3

5 82

π

(C)2 13

5 82

π(D)

2 3

5 82

π


According to Canton's law, if V0 be the volume of a liquid when subject to no pressure upon its surface and ρ

0 be

the density; V the volume when the pressure is P and the density ρ, then

V0 – V = V

0 cP

Here c is the coefficient of compression

14. The value of c depends on the nature of liquid and

(A) The unit of measurement of pressure

(B) The unit of measurement of volume

(C) The unit of measurement of pressure as well as volume

(D) Independent of system of units

15. Assume that water obey Canton's law. Taking P0 as atmospheric pressure at sea level, the pressure P of water at

a depth y below the surface is given as

(A) P = P0 + ρ

0 g y

(B)ρ

= +2

0

02

gyP P

c

(C)

2

2 0

0 02 2

cPcP P P gz− = − + ρ

(D) = − + ρ2

0

0 02

cPP P gz



7/19

SECTION - 4

Matching Column Type

This section contains 2 multiple choice questions. Each question has matching Columns. The codes for the Columns

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

16. The curved surface of a vessel has shape of a truncated cone. The radii of top and bottom are r1 = 2 cm and r

2 = 10 cm.

The height is 15 cm . The vessel is full of water and placed on a smooth horizontal plane. The numerical values of

physical quantities in Column I are given in Column II. Match Column I and Column II

r1

h = 15 cm

r2

Column I Column II

(P) Force on liquid due to walls of the vessel (N) (1) 47.1

(Q) Force on bottom of the vessel (N) (2) 0.36

(R) If a small hole is made on wall near bottom, (3) 25

then range of water jet is (in cm)

(S) If area of cross-section of hole is 2 cm2 then (4) 27.6

the horizontal force required to keep vessel

in equilibrium (N)

Codes :

P Q R S

(A) 4 1 3 2

(B) 2 4 1 3

(C) 4 2 1 3

(D) 3 2 1 4



8/19

17. A block of mass m is connected to a spring and oscillating as shown.

m

When the block is at one of its extreme position, a wax piece of same mass m falls and sticks to the block. Match

the columns.

Column I Column II

(P)New maximum acceleration

Old maximum acceleration(1) 1

(Q)New maximum velocity

Old maximum velocity(2) 2

(R)New time period

Old time period(3)

1

2

(S)New amplitude

Old amplitude(4)

1

2

Codes :

P Q R S

(A) 4 3 1 2

(B) 3 4 2 1

(C) 4 3 2 1

(D) 2 4 1 3

SECTION - 5

Integer Value Correct Type

This section contains 3 questions. The answer to each of the question is a single digit integer, ranging from 0 to 9. The

appropriate bubbles corresponding to the respective question numbers in the ORS have to be darkened. For example,

if the correct answers to question numbers X, Y and Z (say) are 6, 0 and 9, respectively, then the correct darkening of

bubbles will look like the following :

0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9



9/19

18. A liquid of density ρ is poured into a U-tube in which the radius of right hand limb is twice the radius of left hand

one. The level of the liquid is at distance l from the upper end of the tube. If the left limb is filled to the top with liquid

of density 2

ρ. If the rise in the right limb is

l

n then find n.

19. A ball made up of a metal of density 6ρ with a cavity weighs m in air and 2

3m in a liquid of density ρ. If volume of

cavity is m

xρ then find the value of x.

20. A thin uniform rod of length 2a has mass λ per unit length. If the magnitude of gravitational potential at a distance

2a from the centre along the axis of rod is Gλlnx then find the value of x.

PART - II : CHEMISTRY

SECTION - 1



ONE is correct.

21. The molar conductivities at infinite dilution (π°m

) for Na2SO

4, K

2SO

4, KCl, HCl and HCOONa at 300 K are 260, 308,

150, 426 and 105 S/cm2/mol respectively. Hence π°m

for HCOOH acid at same temperature (in S/cm2/mol) is

(A) 429 (B) 531

(C) 405 (D) 381

22. Langmuir adsorption isotherm is given by KP

= 1 + KP

θ where P is the pressure of adsorbate gas. The Langmuir

adsorption isotherm for a diatomic gas A2 undergoing dissociative adorption is

(A)KP

1 + KP(B)

2KP

1 + 2KP

(C)

1

2

1

2

(KP)

1 + (KP)

(D)

2

2

(KP)

1 + (KP)



10/19

23.14 1 1

7 0 1N + n x + H⎯⎯→ , x is moving with 6.023 m/s then λ associated with that particle is

(A) 4.7 × 10–34 m (B) 4.7 × 10–12 m

(C) 4.7 × 10–9 m (D) 5 × 10–12 m

24. Cu+2 ion react with Fe+2 ions according to the following reaction

+2 +2 +3

Cu + 2Fe Cu + 2Fe��⇀↽��

(Cu+2/Cu = 0.34 V, Fe+3/Fe+2 = 0.410 V)

At equilibrium concentration of Cu+2 ion is not changed by addition of

(A) Cu+2 (B) Fe+2

(C) Fe+3 (D) Cu

25. In cubic close packing, distance between two closest layer is (edge length is 'a')

(A) 0.866 a (B) 0.707 a

(C) 0.433 a (D) 0.50 a

26. For a given cell reaction, which of the following is not a state function property?

1 2

1 2o o

1 2

ΔH ΔH +2

4 2ΔG ΔG

ΔE ΔE

MnO MnO Mn− ⎯⎯⎯→ ⎯⎯⎯→

(1) ΔH

(2) ΔG

(3) ΔE°

(4) nE° where n = number of e– involved

(A) (1) & (2) (B) (3) only

(C) (4) only (D) (3) & (4) only

SECTION - 2




27. During electrolysis of NaCl aq. solution, the product which are expected to be formed in solution is

(A) Cl2

(B) NaCl

(C) H2

(D) NaClO3



11/19

28. Reduction potential of the hydrogen electrode change on addition in container is/are

1 M AgNO3

Ag Rod

(A) HCl (B) AgNO3

(C) NaBr (D) HNO3

29. A and B form non-ideal solution showing negative deviation. It form azeotropic mixture at 60 : 40 by mole then correct

statement(s) is/are (P°A > P°

B)

(A) From a solution of xA = 0.2, pure A can be obtained as distillate.

(B) On heating solution of xA = 0.8, pure A can be obtained.

(C) On heating any composition of solution we get azeotrope as residue.

(D) On heating a solution of xA = 0.5, we can obtain pure A and pure B.

30. Which of the solid is covalent?

(A) Graphite (B) Diamond

(C) Ice (D) NaCl

31. Choose the correct statement regarding critical micellisation concentration

(A) For soap, CMC is 10–3 to 10–4 M

(B) At low temperature, solubility of those solute which can form micelles at CMC is low

(C) During micelle formation colligative property is reversed

(D) After CMC, equivalent conductance abruptly decrease

SECTION - 3

Paragraph Type



(A), (B), (C) and (D).


For the opposite reaction

1

1

K

KA + B C + D

−

��⇀�↽��

Forward reaction has value Ea = 100 kJ/mol and K

1 = 1 × 1010 M–1s–1. The equilibrium concentration of A, B, C

and D are 1.0 M, 2.0 M, 5.0 M and 4.0 M respectively at 700 K.



12/19

32. Rate of backward reaction at equilibrium is (approximately)

(A) 40 m/s (B) 690 m/s

(C) 69 m/s (D) 400 m/s

33. Rate constant (K1) for the forward reaction at 1000 K is (approximately)

(A) 5.98 × 104 M–1min–1 (B) 5.98 × 102 M–1s–1

(C) 1 × 103 M–1s–1 (D) 5.98 × 104 M–1s–1


Molar conductance of 0.1 M CH3COOH is 5.575 Ω–1 cm2/mol and π

m∞ of CH

3COONa, NaCl and HCl is respectively

91, 126 and 146.5 cm2/mol.

34. Osmotic pressure of that solution at 300 K is

(A) 2.58 atm (B) 2.65 atm

(C) 4 atm (D) 2.9 atm

35. Electrode potential of that hydrogen electrode dipped in that solution is

(A) –0.59 V (B) –0.1357 V

(C) Zero (D) –0.23 V

SECTION - 4




36. Match the following

Column I Column II

(P)dE

= 0dT

(1) ΔS

(Q)dE

> 0dT

(2) |ΔG| = |ΔH|

(R)dE

< 0dT

(3) |ΔG| > |ΔH|

(S)dE

nFdT

⎛ ⎞⎜ ⎟⎝ ⎠

(4) |ΔG| < |ΔH|



13/19

Codes :

P Q R S

(A) 2 3 4 1

(B) 2 4 3 1

(C) 1 3 4 2

(D) 1 4 3 2

37. Match the following

Column I Column II

(P)232 208

90 82Th Pb⎯⎯→ (1) 5β

(Q)241 209

94 83Pu Bi⎯⎯→ (2) 7α

(R)238 206

92 82U Pb⎯⎯→ (3) 6α

(S)235 207

92 82U U⎯⎯→ (4) 6β

Codes :

P Q R S

(A) 3 4 1 2

(B) 3 1 4 2

(C) 1 3 2 4

(D) 1 2 4 3

SECTION - 5






0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9



14/19

38. For face centered atom, how many nearest touching neighbours are present in a single isolated fcc unit cell?

39. Method of preparation of colloidal solution is given below. How many solutions are negative?

(1) 2AuCl3 + 3HCHO + 3H

2O reduction⎯⎯⎯⎯⎯→ (2) Sol of starch

(3)FeCl3

3Fe(OH) ⎯⎯⎯⎯→ Colloidal sol (4) AgNO

3 + KI

(excess) ⎯⎯→ Colloidal sol

(5) Basic dye stuffs (6)NaOH

3Fe(OH) ⎯⎯⎯⎯→ Colloidal sol

(7) Acid dyes colloidal sol

40. How many pair among the following show positive deviation?

(1) Acetone and benzene

(2) HCl and water

(3) Ethyl alcohol and water

(4) CCl4 and CHCl

3

(5) Ethyl chloride and ethyl bromide

(6) Water and HClO4

PART - III : MATHEMATICS

SECTION - 1



ONE is correct.

41. The value of sin47º + sin61º – sin11º – sin25º is equal to

(A) cos54º (B) sin54º

(C) cos83º (D) sin83º

42. If sin 2

1–1 sin 3

x

x

≥+

, then sin x lies in

(A)–1 1

– , ,2 2

⎛ ⎤ ⎡ ⎞∞ ∪ ∞⎜ ⎟⎥ ⎢⎝ ⎦ ⎣ ⎠

(B)–1

, 12

⎛ ⎞⎜ ⎟⎝ ⎠

(C)–1 1

,2 2

⎡ ⎤⎢ ⎥⎣ ⎦

(D) [–1, 1]



15/19

43. The sum of all the solutions of the equation 7cos2x – cos4x = 6 in the interval [0, 100π] is

(A) 4950 π (B) 5050 π

(C) 5000 π (D) 4900 π

44. If in a triangle (scalene) ABC, 2

cos cos 4sin2

AB C

⎛ ⎞+ = ⎜ ⎟⎝ ⎠

, then b, a, c are in

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

(C) H.P. (D) A.G.P.

45. If the distances of the vertices of a triangle from the points of contact of the incircle with the sides be α, β, γ, and

inradius of the triangle is 3 , then the value of αβγ

α + β + γ is

(A) 2 (B) 3 3

(C) 3 (D) 9

46. If

2

–1

2

2 4sin sin – 3

1

x

x

⎛ ⎞⎛ ⎞+ < π⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟+⎝ ⎠⎝ ⎠, then

(A) –1 < x ≤ 0 (B) 0 ≤ x ≤ 1

(C) –1 < x < 1 (D) x ∈ R

SECTION - 2




47. If α and β are acute angles such that α + β and α – β satisfy the equation tan2θ – 4tanθ + 1 = 0, then

(A)4

πα = (B)6

πα =

(C)4

πβ = (D)6

πβ =

48. If in a triangle ABC, a = 5, b = 4, c = 2 and D, E are the points on BC such that BD = DE = EC, ∠CAE = θ, then

(A)2 73

3AE = (B)

2 58

9AE =

(C)3

tan8

θ = (D)59

cos8 58

θ =



16/19

49. If I is the incentre of the triangle ABC; R1, R

2 and R

3 are the radii of the circumcircle of the triangles IBC, ICA and

IAB respectively, then

(A)1

sec2 2

a AR

⎛ ⎞= ⎜ ⎟⎝ ⎠

(B) 2sec

2 2

b BR

⎛ ⎞= ⎜ ⎟⎝ ⎠

(C) 3sec

2 2

c CR

⎛ ⎞= ⎜ ⎟⎝ ⎠

(D) R1R

2R

3 = 2R

2r

(where R and r are the circum-radius and in-radius of ΔABC respectively)

50. If α, β are two values of x satisfying the equation ( )2

–1 –1tan 3 – 1 tan – 3 0

5 5

x x⎛ ⎞⎛ ⎞ ⎛ ⎞+ =⎜ ⎟⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠⎝ ⎠

, |α| > |β|, then

(A)–5

12

πα + β = (B)35

–12

πα β =

(C)

225

12

παβ = (D) 3α + 4β = 0

51. If a, b, c are the sides of the ΔABC and a2, b2, c2 are the roots of x3 – lx2 + mx – n = 0, then

(A)cos cos cos

2

A B C l

a b c n+ + =

(B) acosA + bcosB + ccosC =

24 –

2

m l

n

(C) asinA + bsinB + csinC = 2l

n

Δ, (where Δ is area of ΔABC)

(D) sinA·sinB·sinC =

38

n

Δ



17/19

SECTION - 3

Paragraph Type



(A), (B), (C) and (D).


ABC is a triangle in which a = 12, b = 6 and ( ) 4cos –

5A B = . AD is the median through A, ∠BAD = θ, CL is

perpendicular to AD.

Now, answer the followings :

52. Radius of the circumcircle of the triangle ABC is

(A)3 5

2(B)

5 3

2

(C) 3 5 (D) 5 3

53. L is the

(A) Centroid of ΔABC (B) Circumcentre of ΔACD

(C) Orthocentre of ΔACD (D) Incentre of ΔABC


f(x) = sin{cot–1(x+1)} – cos(tan–1x)

a = cos(tan–1(sin(cot–1x)))

b = sin(2sin–1x + cos–1

x)

Now, Answer the followings :

54. The value of x, for which f(x) = 0 is

(A)1

–2

(B)1

2

(C) 1 (D) 4

55. If 2 26

51a = , then the value of b2 equals

(A)1

25(B)

24

25

(C)25

26(D)

50

51



18/19

SECTION - 4




56. A root of the equation on LHS satisfies RHS

Column I Column II

(P) 4sin2x + sin22x = 3 (1) tanx =

4

3

(Q) 3(1 + sinx) = 1 + cos2x (2) tanx = 1

2

(R) ( )2 22sin cos 1– cos sin2

2x x

π⎛ ⎞ = π⎜ ⎟⎝ ⎠

(3) tanx = 1

(S) 7cos2x + sinxcosx – 3 = 0 (4) sinx = –

1

2

Codes :

P Q R S

(A) 3 4 2 1

(B) 4 1 2 3

(C) 3 2 4 1

(D) 1 3 2 4

57. Match the number of real solutions from given equation in LHS to RHS

Column I Column II

(P) 6sin–1(x2 – 4x + 5) = π (1) 1

(Q)–1 –1

1 1tan cos tan – cos 2

4 2 4 2x x

π π⎛ ⎞ ⎛ ⎞+ + =⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠

(2) 2

(R)–1 –1 –1

2 4 2tan – tan tan –x x

x x x

⎛ ⎞ ⎛ ⎞ ⎛ ⎞+ =⎜ ⎟ ⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠ ⎝ ⎠

(3) 3

(S)–1 –1 –1

2

1 1 2tan tan tan

2 1 4 1x x x

⎛ ⎞ ⎛ ⎞ ⎛ ⎞+ =⎜ ⎟ ⎜ ⎟ ⎜ ⎟+ +⎝ ⎠ ⎝ ⎠ ⎝ ⎠(4) 0



19/19

Codes :

P Q R S

(A) 1 2 3 4

(B) 4 1 2 3

(C) 4 1 2 1

(D) 1 2 4 3

SECTION - 5






0

X

Y

Z 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9

58. If sin2A = x and sinA·sin2A·sin3A·sin4A = ax

2 + bx3 + cx

4 + dx5, then the value of a + b + c + d is

59. In a triangle ABC, sides a, b, c are such that 2

aα + β= and

b c

b c

β= =α where α, β are two positive real numbers.

If sin sin

–1sin sin

b c B Ck

a C B

+ ⎧ ⎫= +⎨ ⎬⎩ ⎭

, then k is

60. The sides of a triangle are a – 1, a, a + 1; where a is a natural number and a > 1. Its largest angle is twice the

smallest. Then the value of a is______.

� � �

Test - 2 (Paper - II) (Answers & Hints) All India Aakash Test Series for JEE (Advanced)-2014

1/12

TEST - 2 (Paper - II)

PHYSICS

1. (B)

2. (D)

3. (D)

4. (C)

5. (D)

6. (C)

7. (A, B, C, D)

8. (A, B, C)

9. (A, C)

10. (A, B)

11. (A, B, C, D)

12. (C)

13. (D)

14. (B)

15. (A)

16. (C)

17. (B)

18. (5)

19. (4)

20. (3)

CHEMISTRY

21. (B)

22. (A)

23. (D)

24. (A)

25. (B)

26. (A)

27. (A, B, D)

28. (A, B, C)

29. (A, C)

30. (A, C, D)

31. (A, B, C)

32. (B)

33. (A)

34. (B)

35. (C)

36. (C)

37. (A)

38. (4)

39. (5)

40. (4)

MATHEMATICS

41. (C)

42. (D)

43. (B)

44. (A)

45. (C)

46. (D)

47. (B, C)

48. (B, C)

49. (A)

50. (A, D)

51. (A, D)

52. (A)

53. (D)

54. (C)

55. (D)

56. (C)

57. (A)

58. (6)

59. (5)

60. (8)

ANSWERS

Documents

AIATS-3 COVERS 2014 - JEE Advanced Blog...All India Aakash Test Series for JEE (Advanced)-2014 Test - 3 (Paper-II) 4/19 8. A steel wire of diameter 0.8 mm and length 2 m is stretched