List of top Questions asked in CUET (UG)

If ‘APPLE’ is coded as ‘BQQMF’, how is ‘ORANGE’ coded in the same way?

At what time between 4 and 5 o’clock will the hands of a clock be at right angles? (Approximately)

A and B can complete a work in 12 days and 15 days respectively. They work together for 5 days and then A leaves. In how many more days will B complete the remaining work?

Find the compound interest on ₹10,000 at 10% per annum for 2 years, compounded annually.

A bag contains 5 red, 4 blue, and 3 green balls. If one ball is drawn at random, what is the probability that it is neither red nor blue?

The volume of a cube is 512 cm³. What is the total surface area of the cube?

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”.

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: \[ \left[1 + \left(\frac{dy}{dx}\right)^2\right]^{frac{3}{2}} = k \frac{d^2y}{dx^2} \]