List of top Questions asked in KEAM- 2025

The dimensional formula of product of moment of inertia and square of angular velocity is:
What is the de Broglie wavelength of the particle having kinetic energy of $ 2E $?
If $ \mu_s $ and $ \mu_k $ are static and kinetic friction, then:
What is incorrect for Bond order?
Find the value of $ (1 + i)^{10} $.
Given $ Z_1 = \frac{1}{2} + \frac{\sqrt{3}}{2}i, \quad Z_2 = -\frac{1}{2} - \frac{\sqrt{3}}{2}i, \quad \text{and} \quad w = Z_1 + Z_2, \quad \text{find} \, w. $

The value of $ i^3 + i^4 + i^5 $+ .. + $i^{93}$ is:

If $ a_n = 2^{n-1} $, where $ n = 1, 2, 3, ... $, then find $ \sum_{n=1}^{20} a_n $.
Evaluate the integral: $ \int \frac{\sec^2(\sqrt{2x+5})}{\sqrt{2x+5}} \, dx $
Which of the following are neutral?
The transition of an atom from $ n = \infty $ to $ n = 3 $ represents:
If a box has 8 red balls, 12 white balls, 17 black balls. If two balls are taken one by one without replacement, then the probability of taking one red ball and one black ball is
The ratio of the velocity of light in a vacuum to that in a medium is?
Evaluate the integral $ I = \int \frac{\sin 4x}{\sin 2x} \, dx $
Evaluate the integral: $ \int e^{-x} \cdot e^{3x} \, dx $
Evaluate the expression $ \frac{3 \tan 15^\circ - \tan 3 \times 15^\circ}{1 - 3 \tan^2 15^\circ} $
Given that $ x = \frac{\sin^2 \theta}{\tan \theta - \sec \theta}, \quad y = \frac{\sec \theta + \tan \theta}{\sec^2 \theta}, \quad \text{find} \, \frac{y}{x} $
If $ n(A) = 7 $ and the number of relations from A to B is 128. Then find } $ n(B) $.
The velocity of light through a medium of relative permittivity 2 and relative permeability 4.5 is (in terms of $ c $):
Evaluate the integral: $ \int_{-1}^1 |x - 3| \, dx $
Which complex has dsp$^2$ hybridisation?
Find the half-life of a first order reaction if $ K = 2.31 \times 10^5 \, \text{s}^{-1} $.
The ratio of the wavelength of two particles with energy $ E $ and $ 3E $ respectively, is:
Which has a higher boiling point ?
Formula of chromium ore?