List of top Questions asked in KEAM- 2025

Find the log $ K $ value, if $ \Delta G = -11.4 $ and $ 2.303 \cdot RT = 5.7 \times 10^1 $.
Product of $ P $ and $ V $ of an ideal gas related to translational part of internal energy $ E $ as
Solve the following differential equation and integrate: $ \frac{dy}{dx} + \frac{2x}{1 + x^2} \cdot y = x $
If $ a, a r, a r^2 $ are in a geometric progression (G.P.), then find the value of: $ \left| a \quad a r \right| \quad \left| a r^2 \quad a r^3 \right| = \left| a r^3 \quad a r^6 \right| $
Find object distance of concave mirror of $ R = 24 \, \text{cm} $ which gives magnification of 3.
If maximum height and range are equal in projectile motion, then $ \tan \theta = ... $:
What is incorrect for Bond order?
Moment of inertia of solid sphere having mass M and radius R about an axis passing through diameter is I. Moment of inertia of sphere of mass 2M and radius 2R is:
Velocity of man swimming along the flow of river is 10 km/h and against the flow is 6 km/h. Velocity of man in still water is
The angular velocity of the minute hand and the second hand is?
Evaluate the integral: $ \int e^{-x} \cdot e^{3x} \, dx $
The dimensional formula of product of moment of inertia and square of angular velocity is:
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. $
What is the de Broglie wavelength of the particle having kinetic energy of $ 2E $?

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 $.
1 torr = ________
In a linear programming problem (L.P.P.), the corner points of the feasible region are $ (5, 0), (10, 0) $ and } $ (4, 1) $. Find the maximum value of $ Z = 2x + 3y $.
In a linear programming problem (L.P.P.), the corner points of the feasible region are $ (5, 0), (10, 0) $ and $ (4, 1) $. Find the maximum value of $ Z = 2x + 3y $.
Minimum wavelength of Brackett series corresponds to transition from $ n_1 $ to $ n_2 $, where $ n_1 $ and $ n_2 $ are respectively...
Evaluate the following expression: $ \frac{\cos 75^\circ - \cos 15^\circ}{\cos 75^\circ + \cos 15^\circ} $
Evaluate the following expression: $ \frac{\cos 75^\circ - \cos 15^\circ}{\cos 75^\circ + \cos 15^\circ} $
Evaluate the following integral: $ \int e^{2\theta} \left( 2 \cos^2 \theta - \sin 2\theta \right) \, d\theta $
Evaluate the following integral: $ \int \frac{\sec x}{(\sec x + \tan x)^2} \, dx $