List of top Questions asked in KEAM

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 $n$.
Ethanol is made unfit for drinking by adding?
Evaluate the following limit: $ \lim_{\theta \to 0} \frac{\theta \sin 2\theta}{1 - \cos 2\theta} $
Evaluate the derivative of $ y = \cos x \times \sin y, \quad \frac{dy}{dx} \text{ at } \left( \frac{\pi}{6}, \frac{\pi}{5} \right) $
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?
If $ V $ is the velocity of wave in a rope having tension $ T $, find the velocity when the tension becomes $ 8T $.

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) $
Bernoulli's principle is applicable to:
How many bridging complexes are there in $ \text{[Mg(Co)}_{10}\text{]} $?

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

Find the area between the line $ y = x - 1 $, $ y = 0 $, $ -2 \leq y \leq 2 $.
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.
Which of the following is an interstitial compound?
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 which reaction is Benzyl chloride converted to Benzaldehyde?
Evaluate the integral: $ \int \frac{1}{x(x^4 + 1)} \, dx $
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.
Evaluate the integral: $ \int_0^{\frac{\pi}{2}} \frac{1}{1 + \sin x} \, dx $
Evaluate the integral: $ \int e^{x + \frac{1}{x}} \frac{x^2 - 1}{x^2} \, dx $
Total number of orbitals when \( n = 3 \)?
Evaluate the integral: \[ \int_{-3}^{3} \left\lfloor x \right\rfloor \, dx \]
Evaluate the integral: \[ \int \frac{\log(1+x)}{1+x} \, dx \]
Length of latus rectum of ellipse \[ \frac{x^2}{9} + \frac{y^2}{16} = 1 \]