List of top Questions asked in CUET (UG)- 2026

The area of a circle is 154 cm². What is the circumference of the circle? (Use π = 22/7)

Read the passage and answer the question.
Riya loved reading adventure stories. Every weekend, she visited the library and borrowed two new books. Her friends often asked her for recommendations because she always selected exciting novels.
Why did Riya’s friends ask her for book recommendations?

Identify the figure of speech in the expression: “Deafening silence”

What is a hamlet?

Select the sentence with the correct usage of “furtherance”.

Choose the correct meaning of “petulance”.

Fill in the blank with the correct option.
The church bells began to ______ loudly at noon.

Choose the correctly spelt word.

A person who collects stamps is called a:

Choose the word opposite in meaning to “disdain”.

Choose the word closest in meaning to “ebullient”.

Find the particular solution of the differential equation \( \frac{dy}{dx} = \frac{y}{x} \) given the initial boundary condition that \( y = 2 \) when \( x = 1 \).

Find the integrating factor (I.F.) for the linear differential equation: \[ \frac{dy}{dx} - y\tan x = e^x \]

In a Linear Programming Problem (LPP), if the objective function to maximize is \( Z = 3x + 4y \) and the corner points of the feasible bounded region are \( (0,0), (4,0), (2,3), \) and \( (0,4) \), find the maximum value of \( Z \).

Let \( A \) be a square matrix of order 3 such that \( |A| = 5 \). Find the value of the determinant of its adjoint matrix, \( |\text{adj}(A)| \).

Find the general solution of the separable differential equation: \[ \frac{dy}{dx} = e^{x-y} + x^2e^{-y} \]

If \( A \) is a square matrix of order 3 such that its determinant value is \( |A| = -2 \), find the value of the scalar-scaled determinant \( |4A| \).

Evaluate the indefinite integral using pattern-based substitution: \[ \int \frac{\ln x - 1}{(\ln x)^2}\,dx \]

Find the area of the region enclosed by the ellipse given parametrically by the coordinates \( x = 2\sin\theta \) and \( y = 3\cos\theta \) where \( 0 \le \theta \le 2\pi \).

Determine the sum of the order and the degree of the following differential equation: \[ \left[1 + \left(\frac{dy}{dx}\right)^2\right]^{frac{3}{2}} = k \frac{d^2y}{dx^2} \]

Find the integrating factor (I.F.) for the linear differential equation: \[ \frac{dy}{dx} + \frac{2x}{1+x^2}y = \frac{1}{(1+x^2)^2} \]

Which statement about physical chemistry numericals in CUET is generally correct?

The rate of a reaction doubles when concentration of reactant is doubled. The order of reaction is:

The shape of \( [Ni(CN)_4]^{2- \) is:}

Which of the following complexes is diamagnetic?