List of top Questions asked in KEAM- 2026

Compute \( \int (\cot 2x + \cos 2x) \, dx \)

Compute \( \int \frac{\sqrt{x + 1}}{\sqrt{x}} \, dx \)

Find unit vector parallel to \(- (s + 4s) \hat{i} + (7 - 2s) \hat{j} + (3 + 4s) \hat{k}\)

If \( y = \frac{1 + \tan^2 x}{1 - \tan^2 x} \), find \( y' \left( \frac{\pi}{8} \right) \), where \( 0<x<\frac{\pi}{4} \).

If \(y = 4\sqrt{x}\) then \(\frac{d^2y}{dx^2} =\)

Increasing order of metallic character

Number of words that can be formed starting and ending with the same letter from the word BANANA.

Number of ways 3 boys and 4 girls can be arranged such that there is one girl between any 2 boys and one boy between any 2 girls.

Lactose is composed of:

Which of the following is allylic alcohol?

Which of the following statements regarding the structure of CO\(_2\) is correct?

Enthalpy of formation of \( \text{C}_6\text{H}_6 \), \( \text{CO}_2(g) \) and \( \text{H}_2\text{O}(l) \) are -393.5, -285.8 and +48.5 KJ/mol respectively. Find the enthalpy of combustion of \( \text{C}_6\text{H}_6 \):

Which of the following has a planar structure with two lone pairs?

Relationship between \( t_{90} \) and \( t_{99} \) for a first order reaction:

Which reagent gives as major product from phenol

Hinsberg reagent is

If ‘m’ is the molality, ‘M’ is the molarity, ‘d’ is the density in g/cm\(^3\) and ‘M\(_2\)’ is the molarity of solute. What is the relation between them?

Which of the following has highest pKa value?

Ratio of between the maximum wavelength of Lyman and Balmer series.

The \( K_c \) of the reaction \[ \text{NH}_3(g) + \text{O}_2(g) \rightleftharpoons 2\text{NO}(g) \] at 1500 K is 0.1. What is the concentration of NO, when the initial concentration of \( \text{N}_2 \) and \( \text{O}_2 \) is 0.04 mol?

P\(_4\) \(\rightarrow\) PH\(_3\) + H\(_2\)PO\(_2\)
Oxidation state of phosphorus change from -------- to -------- respectively.

The isomerism shown by the following compound: \[ [\text{Co}(CN)_6][\text{Cr}(NH_3)_6] \quad [\text{Co}(CN)_6][\text{Cr}(NH_3)_6] \]

Energy of \(2h\nu_0\) fall on a metal of work function \(h\nu_0\) cause velocity of \(v_1\), when \(5h\nu_0\) fall velocity ratio of \(v_1/v_2\)

There is 40 % C, 67% H2, find the empirical formula

Number of C−C, C−H, C=C in But-2-ene-1-yne respectively