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Previous year questions with solutions · 2000 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2024 | 2 | 2 | 1 | 2.00% →0% |
| 2023 | 1 | 1 | 1 | 2.00% ↓33.3% |
| 2022 | 3 | 2 | 1.5 | 3.00% ↓25% |
| 2021 | 2 | 1 | 2 | 4.00% ↓10% |
| 2019 | 2 | 1 | 2 | 4.44% ↑100% |
| 2017 | 1 | 1 | 1 | 2.22% ↓50% |
| 2016 | 4 | 2 | 2 | 4.44% →0% |
| 2015 | 4 | 2 | 2 | 4.44% →0% |
| 2014 | 2 | 1 | 2 | 4.44% ↑100% |
| 2013 | 2 | 2 | 1 | 2.22% ↓11.1% |
| 2012 | 2 | 2 | 1 | 2.50% ↓50.6% |
| 2011 | 4 | 2 | 2 | 5.06% ↑2.5% |
| 2010 | 4 | 2 | 2 | 4.94% ↑132.1% |
| 2008 | 1 | 1 | 1 | 2.13% ↓50% |
| 2007 | 2 | 1 | 2 | 4.26% ↓29.1% |
| 2006 | 3 | 1 | 3 | 6.00% ↓29.5% |
| 2005 | 4 | 1 | 4 | 8.51% ↑291.5% |
| 2004 | 1 | 1 | 1 | 2.17% ↓43.5% |
| 2003 | 2 | 1 | 2 | 3.85% ↑80.8% |
| 2002 | 1 | 1 | 1 | 2.13% ↓65.2% |
| 2001 | 3 | 1 | 3 | 6.12% ↑37.8% |
| 2000 | 2 | 1 | 2 | 4.44% |
A particle moves in x-y plane according to rule x = a t and y = a t. The particle follows
A particle has initial velocity (3 i + 4 j) and has acceleration (0.4 i + 0.3 j). Its speed after 10 s is
Six vectors, a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true? [figure]
A particle of mass m is projected with velocity v making an angle of 45 with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be :
A and B are two vectors and θ is the angle between them. If | A B| = 3 ( A B), the value of θ is
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are ( 3, 3 ). The path of the particle makes with the x-axis an angle of
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is
For angles of projection of a projectile at angle (45 - ) and (45 + ), the horizontal range described by the projectile are in the ratio of
The vectors A and B are such that | A + B| = | A - B|. The angle between the two vectors is
Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and direction of acceleration of the stone?
If the angle between the vectors A and B is , the value of the product ( B A ) A is equal to
If a vector 2 i + 3 j + 8 k is perpendicular to the vector 4 j - 4 i + k, then the value of is
If | A B| = 3 A B then the value of | A + B| is
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
A particle moves along a circle of radius ( 20 ) m with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is
A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5 m/sec from the same height then correct statement is
If | A + B | = | A | + | B |, then angle between A and B will be
Two particles having mass M and m are moving in a circular path having radius R and r. If their time periods are the same, then the ratio of their angular velocities will be
A particle is projected making an angle of 45 with horizontal having kinetic energy K. The kinetic energy at highest point will be
The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river along the shortest path in 15 min. Then the velocity of river stream is
Two projectiles of same mass and with same velocity are thrown at an angle 60 and 30 with the horizontal, then which will remain same