Previous year questions with solutions · 2024 – 2026
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 9 | 19 | 0.47 | 1.89% ▼ 30.8% vs last year |
| 2025 | 13 | 19 | 0.68 | 2.74% ▼ 17.9% vs last year |
| 2024 | 20 | 20 | 1 | 3.33% |
A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is 6.4 m. The speed of the bullets from the gun is m/s. (take g=10 m/s2)
The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the bank is cm. (Take g = 10 m/s2)
Two particles are located at equal distance from origin. The position vectors of those are represented by A=2 i+3n j+2 k and B=2 i-2 j+4p k, respectively. If both the vectors are at right angle to each other, the value of n-1 is .
A particle is projected at an angle of 30 from horizontal at a speed of 60 m/s. The height traversed by the particle in the first second is h0 and height traversed in the last second, before it reaches the maximum height, is h1. The ratio h0:h1 is . [Take, g=10 m/s2 ]
If a and b make an angle -1 ( 59 ) with each other, then | a + b| = 2| a - b| for | a| = n| b|. The integer value of n is .
The resultant of two vectors A and B is perpendicular to A and its magnitude is half that of B. The angle between vectors A and B is .
Three vectors OP, OQ and OR each of magnitude A are acting as shown in figure. The resultant of the three vectors is A x. The value of x is . [figure]
A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of 100 m from the foot of the tower. A body of mass 2 M thrown at a velocity v2 from the top of the tower of height 4H will touch the ground at a distance of m.
For three vectors A = (-x i - 6 j - 2 k), B = (- i + 4 j + 3 k) and C = (-8 i - j + 3 k), if A ( B C) = 0, then value of x is .
The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile is m.
Two forces F1 and F2 are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between F1 and F2 is -1 ( 1n ). The value of |n| is .
A vector has magnitude same as that of A=3 i+4 j and is parallel to B=4 i+3 j. The x and y components of this vector in first quadrant are x and 3 respectively where x= .
A ball rolls off the top of a stairway with horizontal velocity u. The steps are 0.1 m high and 0.1 m wide. The minimum velocity u with which that ball just hits the step 5 of the stairway will be x ms-1 where x= [use g=10 m/s2].
A particle is moving in a circle of radius 50 cm in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t=0 is 4 m/s, the time taken to complete the first revolution will be 1 [1-e-2 ]s, where = .
A particle starts from origin at t = 0 with a velocity 5 i m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3 i + 2 j) m/s2. If the x-coordinate of the particle at that instant is 84 m, then the speed of the particle at this time is m/s. The value of is .