List of top Questions asked in KEAM- 2025

A musician hits a drum 90 times in a minute. The time period of hit is:
Ethanol is made unfit for drinking by adding?
In which reaction is Benzyl chloride converted to Benzaldehyde?
If the resistance of a wire is 5 $ \Omega $ and 6 $ \Omega $ at 30°C and 40°C respectively, find the temperature coefficient of resistance.
If $ V $ is the velocity of wave in a rope having tension $ T $, find the velocity when the tension becomes $ 8T $.
Two satellites are revolving at a distance of 2.5R and 7.5R from the center of the Earth. Find the ratio of time period of the satellites.
Evaluate the derivative of $ y = \cos x \times \sin y, \quad \frac{dy}{dx} \text{ at } \left( \frac{\pi}{6}, \frac{\pi}{5} \right) $
Find the range of $ f(x) = \sqrt{x^2 + 4x + 4} $.
If $ f(x) = \log 3 - \sin x $, $ y = f(f(x)) $, find $ y(0) $.
If an inductor coil of self-inductance 2H stores 25J of magnetic energy, then the current passing through it is:
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
Current in a coil changes at the rate of 10 A/s. The induced emf is 120V. Find the inductance $ L $ of the coil.
Find the value of: $ \sin 75^\circ \times \sin 15^\circ \times \sin 45^\circ $
If $ \tan^{-1}(x) = \tan^{-1}\left( 3 - \frac{\pi}{4} \right) $, find $ x $.
Find the incorrect pair:
Find the incorrect pair:
What is the force to be applied on a body of mass 200g to change its velocity by 25 m/s in 5 seconds?
A body hanged by a rope in a lift which is moving upward with a constant acceleration of $ 0.2 \, \text{m/s}^2 $. The tension in the rope is 80 N. Find the mass of the body.

Find the incorrect statement: 
A) Isobaric - constant pressure 
B) Isochoric - constant volume 
C) Isothermal - constant temperature 
D) Adiabatic - involves heat exchange

Entropy decreases in which of the following reactions? $ \text{(A) } \text{Br}_2 (l) \to \text{Br}_2 (g) $ $ \text{(B) } \text{Br}_2 (g) \to \text{Br}_2 (l) $ $ \text{(C) } \text{Br}_2 (l) \to \text{Br}_2 (g) \text{ and } \text{Br}_2 (g) \to \text{Br}_2 (l) $
Find $ R $ in the following circuit:
A cricmeter hits a ball with an initial velocity of 40 m/s. Calculate the maximum range.
If the angular displacement in 10 seconds is $ 150^\circ $, find the number of revolutions in 10 seconds.
Which is a Lewis acid?
Find the area between the line $ y = x - 1 $, $ y = 0 $, $ -2 \leq y \leq 2 $.