List of top Questions asked in KEAM

Evaluate the following integral: $ \int e^{2\theta} \left( 2 \cos^2 \theta - \sin 2\theta \right) \, d\theta $
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $
Evaluate the following expression: $ \frac{\cos 75^\circ - \cos 15^\circ}{\cos 75^\circ + \cos 15^\circ} $
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 $.
Evaluate the following expression: $ \frac{\cos 75^\circ - \cos 15^\circ}{\cos 75^\circ + \cos 15^\circ} $
Evaluate the integral: $ \int_0^\pi \frac{\tan x}{\cos x} \, dx = \int_0^\pi \frac{\sin x}{\cos^2 x} \, dx $
If $ n(A) = 7 $ and the number of relations from A to B is 128. Then find } $ n(B) $.
When a rectangular coil having length $ l $ and breadth $ b $ are placed perpendicular to the magnetic field. The torque experienced by the coil is:
The ratio of the wavelength of two particles with energy $ E $ and $ 3E $ respectively, is:
The ratio of angular velocity of two satellites at a distance $ r $ and $ 2r $ from the centre of the earth is:
The ratio of distance of the sun from the earth to that of the moon from the earth is in the order:
The dimensional formula of product of moment of inertia and square of angular velocity is:
The transition of an atom from $ n = \infty $ to $ n = 3 $ represents:
Three identical resistors are connected as triangle ABC. Voltage across AB = 12V. Find the ratio of current through AB to ACB:
The wavelength of body radiation having maximum energy is $ \lambda_m $ at temperature $ T $. If the wavelength of radiation corresponds to maximum energy is $ \frac{\lambda}{3} $, then temperature is:
If Young's modulus and densities are in the ratio 3:2 and 3:1 respectively, the ratio of velocity of sound is:
The angular velocity of the minute hand and the second hand is?
Which of the following are neutral?
Formula of chromium ore?
What is incorrect for Bond order?
Which has a higher boiling point ?
Bromomethane on reaction with Na and dry ether gives:
Which complex has dsp$^2$ hybridisation?
What is the hydration enthalpy of sucrose?