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A solid cube is painted blue on all faces and then cut into 125 small cubes. How many cubes are there which are not painted on any of the faces?

(a) 8
(b) 16
(c) 27
(d) 36

A particle of mass 0.3 kg is subjected to a force F = kx with k = 15 N/m and x being its distance from the origin. What will be its initial acceleration if it is released from a point 20 cm away from the origin ?

(A) 5 m/s²

(B) 10 m/s²

(C) 3 m/s²

(A) They catch food

(B) They store water

(C) They protect the plant from being eaten by animals

(D) They make the plant attract bees.

(A)

(B)

(C)

(D)

A particle is acted upon by a constant force, the magnitude of which is always perpendicular to the velocity of particle. The motion of particle takes place in same plane. From the above statement it implies

(A) Particle is moving in a circular path

(B) Magnitude of its acceleration is constant

(C) Its velocity is uniform

Read the passage carefully and answer Q.

A dancer demonstrating dance steps along a straight line. The position time graph is given below.

The average velocity of the dancer during time interval between t = 4.5 s to t = 9 s is

(A) 1 ms^-1

(B) -1.33 ms^-1

(C) 2.75 ms^-1

The given shape can be made by using two of which shapes ?

(a)
(b)
(c)
(d)

A body goes from point X to point Y with a speed of 10 m s^-1. It comes back to X with a speed of 20 m s^-1. The average speed of the body during the journey is ______.
(a) 15 m s^-1
(b) 16.6 m s^-1
(c) 13.3 m s^-1
(d) 30 m s^-1

(A) 2, 9, 1, 6

(B) 1, 6, 3, 4

(C) 4, 18, 2, 12

(D) 2, 17, 1, 7