List of top Questions asked in KEAM

A body starts from rest and is moving with a constant acceleration \( a \). The relation between instantaneous displacement and time is
A farm roller of mass 100 kg is given a force of 300 N at a \( 30^\circ \) angle to the ground. Find net force acting on it in the vertical direction.
Radius of gyration of a disc about its diameter is?

If \(f(x) = \sin x e^{\sin x}\), find \(f'(x)\)

Distance between two foci of the hyperbola \( x^2 - 4y^2 = 16 \) is
If \( 1, a, b, c, 16 \) is in G.P., then \( \sqrt[3]{abc} = \)
Dimensional formula of Planck’s constant is similar to

If \(f(x)\) is continuous in \(\mathbb{R}\),

\[f(x) = \begin{cases} \frac{3x^2 - 12}{x - 2}, & x \neq 2 \\k, & x = 2 \end{cases}\]

 find \(k\).

If \( |x + 3| < 2 \), then \( x \) lies in
P(A) = 0.4, P(B/A) = 0.9. Then P(A ∩ B) is
Evaluate \( \int \sin x \cdot \sin 2x \, dx \)
CrO$_3$ is _____ oxide?

Radius order of \(Yb^{3+}, La^{3+}\), \(Ce^{3+}\), \(Pm^{3+}\)?

Increasing ionic radii of lanthanoids having +2 oxidation state?
Which of the following is not an EWG (Electron Withdrawing Group)?
A wave from a source having power 1 watt is incident on a surface of area 200 m\(^2\). What is the intensity of the wave?
For a first-order reaction, if the rate constant is \( k = 6.93 \times 10^{-3} \), what is the half-life (\( t_{1/2} \)) of the reaction?
The work done to move a charge of 3 C from A to B is 12 J. Find potential difference between A and B.
Resistivity of a wire is proportional to
If $ {{x}^{y}}.{{y}^{x}}=16, $ then $ \frac{dy}{dx} $ at (2, 2) is
The vectors of magnitude $a, 2a, 3a $ meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant is
The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is
How many four digit numbers $abcd$ exist such that $a$ is odd, $b$ is divisible by $3$, $c$ is even and $d$ is prime?
An $LCR$ series $AC$ circuit is at resonance with $10\, V$ each across $L, C$ and $R$. If the resistance is halved, the respective voltages across $L, C$ and $R$ are
$ {{(C{{H}_{3}})}_{3}}CMgCl $ on reaction with $ {{D}_{2}}O $ produces