List of top Questions asked in KEAM- 2025

Minimum wavelength of Brackett series corresponds to transition from $ n_1 $ to $ n_2 $, where $ n_1 $ and $ n_2 $ are respectively...
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 $.
Chromatic aberration arises in their lens due to:
A light is incident on a surface having refractive index $ \frac{4}{3} $ and reflected light is completely polarised. $ \left( \tan 53^\circ = \frac{4}{3} \right) $. What is the angle of incidence?
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 integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $
Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $
Evaluate the following integral: $ \int \frac{\sec x}{(\sec x + \tan x)^2} \, dx $
Evaluate the following integral: $ \int e^{2\theta} \left( 2 \cos^2 \theta - \sin 2\theta \right) \, d\theta $
Evaluate the integral: $ \int e^{x + \frac{1}{x}} \frac{x^2 - 1}{x^2} \, dx $
Evaluate the integral: $ \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sin x} \, dx $

In a GP 9, 3, $ \frac{1}{3} $, $ \frac{1}{9} $, … find the 25th term.

The effective capacitance when $n$ identical capacitors are connected in parallel is 10μF, and when connected in series is 0.4μF. Find the value of $n$.
The effective capacitance when $n$ identical capacitors are connected in parallel is 10μF, and when connected in series is 0.4μF. Find the value of $n$.
A pn junction diode without bias acts as:
Phenol is treated with conc. $ H_2SO_4 $, and then with conc. $ HNO_3 $. The compound A and B are formed.
IUPAC name of allyl amine?
Given the reaction: $ \text{Cr}_2\text{O}_7^{2-} + x e^- + y H^+ \to 2 \text{Cr}^{3+} + z H_2O $ Find the values of $x$, $y$, and $z$.
The displacement of a body varies with time $ t $ as $ S = \frac{1}{2} t^2 - 6t $. Find the time at which the velocity becomes zero.
The displacement of a body varies with time $ t $ as $ S = \frac{1}{2} t^2 - 6t $. Find the time at which the velocity becomes zero.
What is the ratio of distances travelled by a body in the first two intervals of 5 seconds? (Given the initial velocity $ u = 1 \, \text{m/s} $ and the body moves with a constant acceleration of $ 5 \, \text{m/s}^2 $)
Bernoulli's principle is applicable to:
If $ P_0 $ is the atmospheric pressure and $ P $ is the pressure at a depth $ h $, find the Guage pressure.