Previous year questions with solutions · 2000 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 3 | 2 | 1.5 | 3.33% ▼ 25% vs last year |
| 2025 | 2 | 1 | 2 | 4.44% ▲ 122.2% vs last year |
| 2024 | 2 | 2 | 1 | 2.00% ▼ 66.7% vs last year |
| 2023 | 3 | 1 | 3 | 6.00% ▲ 100% vs last year |
| 2022 | 3 | 2 | 1.5 | 3.00% ▲ 50% vs last year |
| 2021 | 1 | 1 | 1 | 2.00% ▼ 10% vs last year |
| 2020 | 1 | 1 | 1 | 2.22% same as last year |
| 2019 | 1 | 1 | 1 | 2.22% same as last year |
| 2018 | 1 | 1 | 1 | 2.22% same as last year |
| 2017 | 1 | 1 | 1 | 2.22% same as last year |
| 2016 | 2 | 2 | 1 | 2.22% ▲ 100% vs last year |
| 2015 | 1 | 2 | 0.5 | 1.11% ▼ 50% vs last year |
| 2013 | 2 | 2 | 1 | 2.22% ▼ 11.1% vs last year |
| 2012 | 2 | 2 | 1 | 2.50% ▼ 1.3% vs last year |
| 2011 | 2 | 2 | 1 | 2.53% ▲ 2.5% vs last year |
| 2010 | 2 | 2 | 1 | 2.47% ▼ 39.5% vs last year |
| 2009 | 2 | 1 | 2 | 4.08% ▼ 36.1% vs last year |
| 2008 | 3 | 1 | 3 | 6.38% same as last year |
| 2007 | 3 | 1 | 3 | 6.38% ▲ 59.6% vs last year |
| 2006 | 2 | 1 | 2 | 4.00% ▼ 6% vs last year |
| 2005 | 2 | 1 | 2 | 4.26% ▲ 10.6% vs last year |
| 2003 | 2 | 1 | 2 | 3.85% ▲ 88.5% vs last year |
| 2001 | 1 | 1 | 1 | 2.04% ▼ 8.2% vs last year |
| 2000 | 1 | 1 | 1 | 2.22% |
A bus is moving with a speed of 10 m s-1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?
A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 m s-1 to 20 m s-1 while passing through a distance 135 m in t second. The value of t is
The distance travelled by a particle starting from rest and moving with an acceleration 43 m s-2, in the third second is
A particle shows distance - time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point [figure]
A particle moving along x-axis has acceleration f, at time t, given by f = f0 (1 - tT ), where f0 and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity (vx) is
A car moves from X to Y with a uniform speed vu and returns to X with a uniform speed vd. The average speed for this round trip is
The position x of a particle with respect to time t along x-axis is given by x = 9t2 - t3 where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the +x direction?
Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is
A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t - t3. How long would the particle travel before coming to rest ?
A ball is thrown vertically upward. It has a speed of 10 m/s when it has reached one half of its maximum height. How high does the ball rise? (Take g = 10 m/s2.)
The displacement x of a particle varies with time t as x = ae- t + be t, where a, b, and are positive constants. The velocity of the particle will
A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g = 9.8 m/s2)
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it is (g = 10 m/s2)
Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 s is