Previous year questions with solutions · 2024 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 10 | 19 | 0.53 | 2.11% ▲ 25% vs last year |
| 2025 | 8 | 19 | 0.42 | 1.68% ▼ 46.8% vs last year |
| 2024 | 19 | 20 | 0.95 | 3.17% |
Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in the 5th second are 104 m and 129 m, respectively. The ratio of their momenta after 10 s is x8. The value of x is .
From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same set of units) due to gravity is m. (Take g=10 m/s2 and neglect the air resistance)
A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform velocity v2 for the next 32x distance. The average velocity in this motion is 507 m/s. If v1 is 5 m/s then v2 = m/s.
Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t = 0, for the first time. The maximum possible number of crossing(s) (including the crossing at t = 0) is .
A particle moves in a straight line so that its displacement x at any time t is given by x2 = 1 + t2. Its acceleration at any time t is x-n where n = .
A body moves on a frictionless plane starting from rest. If Sn is distance moved between t = n - 1 and t = n and Sn-1 is distance moved between t = n - 2 and t = n - 1, then the ratio Sn-1Sn is (1 - 2x ) for n = 10. The value of x is .
A bus moving along a straight highway with speed of 72 km/h is brought to a halt within 4 s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is m.
A particle is moving in one dimension (along x axis) under the action of a variable force. Its initial position was 16 m right of origin. The variation of its position (x) with time (t) is given as x = -3t3 + 18t2 + 16t, where x is in m and t is in s. The velocity of the particle when its acceleration becomes zero is m/s.
A particle initially at rest starts moving from reference point x=0 along x-axis, with velocity v that varies as v=4 x m/s. The acceleration of the particle is ms-2.
A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of Hh for which the body will take the maximum time to reach the ground is .
The displacement and the increase in the velocity of a moving particle in the time interval of t to (t+1) s are 125 m and 50 m/s, respectively. The distance travelled by the particle in (t+2)th s is m.
A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is m (use g=10 ms-2).