List of top Questions asked in KEAM- 2025

Which is a heterocyclic compound?

Which of the following has an expanded octet?

If a p-n junction diode is forward biased, then:

A coil of length \(l\) and area of cross-section \(A\) has resistance \(R\). If the length is increased to 3 times and area decreases to \(A/3\), then the new resistance is:

If a bar magnet is doped into a circular ring placed horizontally, then what change will happen?

Metal in Wilkinson's catalyst?

Which of the following is incorrect?

Aryl halides react with Na in dry ether gives diphenyls. Name of the reaction is:

If fringe width obtained in a YDSE is 1.3mm. If the whole system is dipped in a liquid of refractive index 1.3, then the new fringe width will be:

Energy dissipated per unit time by a wire of resistance \(2R\) connected to a 2V battery.

A body starts from rest and moves with an acceleration of \(2 \, \text{m/s}^2\) and comes to rest with a retardation of \(2 \, \text{m/s}^2\). Find the distance travelled?

Area under \(F\) and \(t\) graph is?

Which of the following is true in an SHM?

Which of the following is an ambidentate ligand? a) \( \text{C}_2 \text{O}_4^{2-} \) b) \( \text{CN}^- \) c) \( \text{NH}_3 \)

What is the dimension of \[ \frac{M B}{K T} \] where \( M \) represents magnetic moment, \( K \) represents the Boltzmann constant, \( B \) represents the magnetic field, and \( T \) represents temperature?

Evaluate the limit: \[ \lim_{x \to 2} \frac{(x^3 - 8) \sin(x - 2)}{x^2 - 4x + 4} \]

Find the limit: \[ \lim_{x \to 0} \frac{\sin[x]}{[x]}, \text{ where } [x] \text{ represents greatest integer function} \]

Evaluate the following integral: \[ \int e^x \left[\frac{1}{1+x(1+x)^2}\right] dx \]

Evaluate the derivative of the function: \[ f(x) = x |x|, \quad \text{find} \quad f'(-10) \]

Evaluate the following statement: \[ f(x) = \sin(|x|) - |x| \text{ is not differentiable at } x = \underline{\hspace{2cm}} \]