List of top Questions asked in KEAM- 2025

If \( -5<x \leq -1 \), then \( -21 \leq 5x + 4 \leq b \). Find \( b \).
The velocity is given as \( \mathbf{v} = 3\hat{i} + 3\hat{j} \). Find the acceleration \( \mathbf{a} \).
An unbiased die is tossed until a sum \( S \) is obtained. If \( X \) denotes the number of times tossed, find the ratio \( \frac{P(X = 2)}{P(X = 5)} \).
The disease is caused by a deficiency of riboflavin.
Relations between the speed of X-ray, gamma-ray, and UV rays when they travel in a vacuum.
Which of the following has the highest \( K_b \) value?
Which of the following statement is true?
How can we decrease the effective capacitance of a parallel plate capacitor?
Evaluate the limit: \[ \lim_{x \to \infty} \frac{\sqrt{\cos^2 x + 3} - \sqrt{\cos^2 x + \sin x + 3}}{x} \]
A cylindrical vessel contains 16 kg at 1 atm. A certain amount of substance is taken out so that pressure becomes 0.7 atm. Find the amount taken out (in kg).
Tension of a rope when a man of mass \( m \) climbs up or down with an acceleration \( a<g \)?
Number of sigma and pi bonds in methyl but-1-ene is:
What is the order of the SN2 reaction for the compounds: \[ \text{2-methyl-2-bromo-butene}, \quad \text{2-bromo-butene}, \quad \text{1-bromo-butane} \]
If \( \cot^{-1} \left( \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \right) \), then find \( \sec^2 \theta \).
The reaction shown is: \[ \text{Phenol} + \text{CHCl}_3 + \text{NaOH} \rightarrow \text{Salicylaldehyde} \] What is the name of the above reaction?
When toluene is treated with chromium oxide and acetic anhydride, followed by hydrolysis, what is the product formed?
What phenomenon is explained by the wave nature of electromagnetic radiation?
Layer's test is used for what purpose?
Wave nature of light can be used to explain which phenomenon?
What is the IUPAC name of phenyl isopentylether?
Which among the following has the highest molar elevation constant?
A body of mass 0.8kg moves with velocity \( v = 2x^2 + 2 \, \text{m/s} \). What is the work done during its motion from \( x = 0 \) to \( x = 2 \, \text{m} \)?
A body of mass 0.8kg moves with velocity \( v = 2x^2 + 2 \, \text{m/s} \). What is the work done during its motion from \( x = 0 \) to \( x = 2 \, \text{m} \)?
Arrange in the order of dipole moment: \[ \text{NH}_3, \, \text{NF}_3, \, \text{H}_2\text{S}, \, \text{CHCl}_2 \]
Among the following, which one is incorrect? \[ \text{BrF}_5 \rightarrow \text{Trigonal bipyramidal}, \quad \text{SF}_4 \rightarrow \text{See saw}, \quad \text{NH}_3 \rightarrow \text{Pyramidal}, \quad \text{XeF}_4 \rightarrow \text{Square planar} \]