List of top Questions asked in KEAM- 2025

Tension of a rope when a man of mass \( m \) climbs up or down with an acceleration \( a<g \)?
Evaluate the limit: \[ \lim_{x \to \infty} \frac{\sqrt{\cos^2 x + 3} - \sqrt{\cos^2 x + \sin x + 3}}{x} \]
Number of sigma and pi bonds in methyl but-1-ene is:
What is the order of the SN2 reaction for the compounds: \[ \text{2-methyl-2-bromo-butene}, \quad \text{2-bromo-butene}, \quad \text{1-bromo-butane} \]
The reaction shown is: \[ \text{Phenol} + \text{CHCl}_3 + \text{NaOH} \rightarrow \text{Salicylaldehyde} \] What is the name of the above reaction?
What phenomenon is explained by the wave nature of electromagnetic radiation?
When toluene is treated with chromium oxide and acetic anhydride, followed by hydrolysis, what is the product formed?
Wave nature of light can be used to explain which phenomenon?
Given: \[ \sum_{k=0}^{5} \binom{10}{2k} = \alpha \quad \text{and} \quad \sum_{k=0}^{4} \binom{10}{2k+1} = \beta \] \text{Find the value of} \( \alpha - \beta \).
Given the line equation \( Ax + By + C = 0 \), which passes through the point \( (-10, 7) \) and is perpendicular to the line \( 11x - 8y - 16 = 0 \), find \( C \).
Solve the system of equations: \[ \begin{bmatrix} 4 & 9 \\ 12 & -3 \\ 8 & -2 \end{bmatrix} \begin{bmatrix} 7 \\ 9 \end{bmatrix} = \begin{bmatrix} \alpha \\ \beta \end{bmatrix} \]
Layer's test is used for what purpose?
What is the IUPAC name of phenyl isopentylether?
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 \( x = 2 \, \text{m} \)?
Electrostatic force is maximum when charge \( Q \) is placed at ------?
Arrange in the order of dipole moment: \[ \text{NH}_3, \, \text{NF}_3, \, \text{H}_2\text{S}, \, \text{CHCl}_2 \]
The inward electric flux through a closed surface is \( 6 \times 10^{-5} \) and the outward flux is \( 3 \times 10^{-5} \). Then the total charge enclosed is?
A liquid of density \( d \) is moving down in a vessel of height \( h \) with an acceleration \( a<g \). Then the pressure at the bottom is?
Among the following, which one is incorrect? \[ \text{BrF}_5 \rightarrow \text{Trigonal bipyramidal}, \quad \text{SF}_4 \rightarrow \text{See saw}, \quad \text{NH}_3 \rightarrow \text{Pyramidal}, \quad \text{XeF}_4 \rightarrow \text{Square planar} \]
Which of the following is the set of neutral oxides? (a) \( \text{Al}_2\text{O}_3, \text{Cl}_2\text{O}_7 \), b) \( \text{N}_2\text{O}, \text{CO} \)
Find the pH of the solution if \( [\text{H}^+] = 2 \times 10^{-4} \, \text{mol/L} \).
In an equilateral triangle with each side having resistance \( R \), what is the effective resistance between two sides?
Find the resistance required to be connected to a galvanometer of resistance \(100 \, \Omega\) with a full scale deflection of 1mA into a voltmeter of range 1V.
Which of the following bond enthalpies is the least: \[ C = C, C = O, C \equiv N, C = N \]