JEE Questions for Maths Miscellaneous Quiz 14

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1
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A particle is projected at an angle of 45° with a velocity of 9.8 metre per second. The horizontal range will be

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9.8 metre
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4.9 metre
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0%

Two balls are projected respectively from the same point in directions inclined at 60D and 30° to the horizontal. If they attain the same height, the ratio of their velocities of projection is

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√3 : 1
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1 : √3
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1 : 1
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1 : 2

f a projectile having horizontal range of 24 acquires a maximum height of 8, then its initial velocity and the angle of projection are

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2)
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0%

The range of a projectile fixed at an angle of 15° is 50 m, if it is fixed with the same speed at an angle of 45^o, then the range will be

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50 m
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100 m
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150 m
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None of these

A particle is projected from a point 0 with velocityu at an angle of 60^o with the horizontal. When it is moving in a direction at right angles to its direction at 0, its velocity then is given by

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2)
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AB is the vertical diameter of a circle in a vertical plane. Another diameter CD makes an angle of 60° with AB, then the ratio of the time taken by a particle to slide along AB to the time taken by it to slide along CD is

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2)
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A particle is projected up a smooth inclined plane of inclination 60° along the line of greatest slope. If it comes to instantaneous rest after 2 second then the velocity of projection is (g = 9.8 m/sec²)

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9.8 m/s
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10 m/s
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16.97 m/s
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19.6 m/s

A body is projected through an angle a from vertical so that its range is half of maximum range, a is

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60o
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75°
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30o
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22.5o

The velocity and direction of projection of a shot which passes in horizontal direction just over the top of a wall which is 50 yds. away and 75 feet high

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40o, 30o
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40√6o, 45o
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50o, 60o
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None of these

If the time taken in slipping down on smooth inclined plane is twice to the time taken in falling from the vertical height of that plane, then the inclination of plane will be

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45°
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60°
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75o
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30°

The ball is projected vertically upward with a velocity of 112 m/s. The time taken by it to return to the point of projection is (g = 10 m/s²)

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11 s
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33 s
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5.5 s
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22 s

A particle just clear a wall of height h at distance a and strikes the ground at a distance c from the point of projection. The angle of projection is

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2)
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0%

If in a projectile motion, range R is maximum, then relation between H and R will be

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H = R/2
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H = R/4
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H = 2R
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H = R/8

Two parabolic paths of angles α and β of projection aimed at a target on the horizontal plane through 0, fall p units short and the other p units far from the target. If θ is the correct angle of projection so as to hit the target, then Sm 2θ is equal to

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2)
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0%

A fire engine lifts 50 kg water up to 2 m height per minutes and throws it out with the velocity of 19.62 m/sec. The horse power of engine will be

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0.12
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0.24
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0.36
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0.48

A bullet is shot with a velocity of 600 m/sec into a target weighing 12 kg and is free to move with a velocity 1.5 m/sec after impact. Then the percentage loss of kinetic energy in the impact is

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79.75%
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89.75%
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99.75%
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None of these

labour has to throw bricks near mistry 16 feet vertically above. He throws the bricks in such a manner that the brick reach the mistry with the velocity of 16 ft/sec. If he throws bricks such that bricks just reach the mistry, then the portion of the energy saved is

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1/3
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1/4
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1/5
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1/6

Drops of water falling from the root of the tunnel seems from the window of the train to be falling from an angle making tan^-1(1/from the horizontal. It is known that their velocities are 24 decimeter/sec. Assuming the resistance of air negligible, what will be the velocity of the train

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42 decimeter/sec
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48 decimeter/se
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45 decimeter/sec
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44 decimeter/sec

A man swims at a speed of 5 km/hr. He wants to cross a canal 120 metres wide, in a direction perpendicular to the direction of flow. If the canal flows at 4 km/br, the direction and the time taken by the man to cross the canal are

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2)
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None of these

A man is walking at the rate of 3 km/hr and the rain apears to him falling vertically with a velocity of 3√3 km/hr. If the actual direction of the rain makes an angle θ with direction of man, then θ =

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15°
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30
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45°
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60o

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2)
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0%

Two trains A and B, 100 kms apart, are travelling to each other with starting speed of 50 km/hr for both. The train A is accelerating at 18 km/hr² and B is decelerating at 18 km/hr². The distance where the engines cross each other from the initial position of A is

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50 kms
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68 kms
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32 kms
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59 kms

A particle is moving with a uniform acceleration. If during its motion, it moves x, y and z distance in p^th, q^th and r^th seconds respectively, then

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2)
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A body travels a distance s in t seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f and in the second part with constant rctardation r. The value of t is given by

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A particle is dropped under gravity from rest from a height h (g = 9.8 m/sec²) and then it travels a distance in the last second. The length h is

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100 metre
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122.5 metre
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145 metre
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167.5 metre

A mass in is acted upon by a constant force p lb. wt. under which in t seconds it moves a distance of x feet and acquires a velocity v ft/sec. Then x is equal to

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0%

An engine and train weigh 420 tons and the engine exerts a force of 7 tons. If the resistance to motion be 14 lbs. wt. per ton, then the time, the train will take to acquire a velocity of 30 m/hr from rest is

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2.2 mm
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2.6 mm
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2.8 mm
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3 mm

A parachute weighing 112 lbs. wt. falling with a uniform acceleration from rest, describes 16 ft. in the first 4 sec. Then the resultant pressure of air on the parachute is

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85 lbs. wt.
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95 lbs. wt.
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105 lbs. wt.
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115 lbs. wt.

The sum of two weights of an Atwood’s machine is 16 lbs. The heavier weight descends 64 ft in 4 seconds. The value of weights in lbs are

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10,6
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9,7
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8, 8
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12, 4

Two weights W and W’ are connected by a light string passing over a light pulley. If the pulley moves with an upward acceleration equal to that of gravity, the tension of the string is

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2)
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To one end of a light string passing over a smooth fixed pulley is attached a particle of mass M, and the other end carries a light pulley over which passes a light string to whose ends are attached particles of masses m₁ and m₂. The mass M will remains at rest or will move with a uniform velocity, if

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2)
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0%

A sphere impinges directly on a similar sphere at rest. If the coefficient of restitution is 1/2, the velocities after impact are in the ratio

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1 : 2
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2 : 3
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1 : 3
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3 : 4

A ball impinges directly upon another ball at rest and is itself reduced to rest by the impact. If half of the K.E. is destroyed in the collision, the coefficient of restitution, is

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Two stones are projected from the top of cliff h metres high, with the same speed u so as to hit the ground at the same spot. If one of (he Stones is projected horizontally and the other is projected at an angle θ to the horizontal, then tanθ equals

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A particle is thrown with the velocity v such that its range on horizontal plane is twice the maximum height obtained. Its range will be

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2)
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Two bodies of masses m and 4m are moving with equal momentum. The ratio of their K.E. is

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1:4
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4:1
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1:1
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1:2

A bowler throws a bumper with a speed of 25 m/sec. The moment the ball touches the ground, it losses its energy by 1.5 kgm. If the weight of the ball is 225 gm, then speed of the ball at which it hits the bat is

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2.22 m/sec
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22.2 m/sec
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4.44 m/sec
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44.4 m/sec

A particle starts from rest and move with constant acceleration. Then the ratio of the increases in the K.E in mt and (m + 1)th second is

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m : m
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m + 1 : m + 1
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2m – 1 : 2m + 1
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None of these

A man is swimming with the uniform velocity of 6 km/h straight across a river which is flowing at the rate of 2 km/h. If the breadth of the river is 300 m, the distance between the point end the man is initially directed to and the point it will reach on the opposite bank of the river is equal to

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100 m
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200 m
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300 m
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400 m

To a man running at a speed of 20 km/hr. the rain drops appear to be falling at an angle of 30^oC from the vertical. If the rain drops are actually falling vertically downwards, their velocity in km/hr is

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10√3
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10
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20√3
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40

A body is moving in a straight line with uniform acceleration. it covers distances of 10 m and 12 m in third and fourth seconds respectively. Then the initial velocity in m/sec is

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2
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3
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4
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5

A stone is dropped from a certain height which can reach the ground in 5 sec. If the stone is stopped after 3 seconds of its fall and then time taken by the stone to reach the ground for the remaining distance is

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2 seconds
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3 seconds
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4 seconds
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None of these

A man in a balloon, rising vertically with an acceleration of 4.9 m/sec² release a ball 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the ball is

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14.7 m
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19.6 m
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9.8 m
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24.5

A hockey stick pushes a ball at rest for 0.01 second with an average force of 50 N. lithe ball weighs 0.2 kg, then the velocity of the ball just after being pushed is

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3.5 m/sec
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2.5 m/sec
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1.5 m/sec
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4.5 m/sec

A man falls vertically under gravity with a box of mass on his head. Then the reaction force between his head and the box is

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mg
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2 mg
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0
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1.5 mg

A man of mass 80 kg is travelling in a lift. The reaction between the floor of the lift and the man when the lift is ascending upwards at 4 m/sec² is

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1464.8 N
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1784.8 N
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1959.8 N
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1104.8 N

A ball is dropped from a height h on a horizontal plane and the coefficient of restitution for the impact is e, the velocity with which the ball rebounds from the floor is

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2)
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0%

A gun projects a ball at an angle of 450 with the horizontal. If the horizontal range is 39.2 m, then the ball will rise to

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9.8m
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4.9m
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2.45 m
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19.6 m

If the range of any projectile is the distance equal to the height from which a particle attains the velocity equal to the velocity of projection, then the angle of projection will be

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60°
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75o
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36°
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30°

JEE Questions for Maths Miscellaneous Quiz 14 - MCQExams.com

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JEE Questions for Maths Miscellaneous Quiz 14 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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