List of top Questions asked in CUET (UG)

In which year was the Bombay--Thane railway link established?

Find the area of the region bounded by the curve \( y^2 = x \) and the line \( x = 4 \):

Find the interval in which the function \( f(x) = 2x^3 - 3x^2 - 36x + 7 \) is strictly increasing:

A bag contains \( 5 \) red and \( 4 \) black balls. Two balls are drawn at random one after the other without replacement. What is the conditional probability that the second ball drawn is red, given that the first ball drawn was black?

Find the general solution of the differential equation: \( \frac{dy}{dx} + \frac{y}{x} = x^2 \)

Find the value of the composite inverse trigonometric expression: \( \cot^{-1}\left[2\cos\left(2\sin^{-1}\frac{1}{2}\right)\right] \)

If \( A \) is a square matrix of order \( 3 \) such that \( |2(\text{adj}\,A)| = 288 \), then the possible value of the determinant \( |A| \) is:

Evaluate the indefinite integral: \( \int \frac{x^2+1}{x^4+1}\,dx \)

Let \( A \) be a non-singular \( 3 \times 3 \) matrix satisfying the equation \( A^3 - 6A^2 + 11A - 6I = O \). If \( B = A^2 - 5A + 7I \) and \( \det(A) = 6 \), then the value of \( \det(B) \) is equal to:

A sum of money becomes Rs.9680 at 10% simple interest per annum in 4 years. The principal amount is:

In a certain code language, “PENCIL” is written as “QFODJM”. How will “MARKER” be written in that code?

The average of 8 numbers is 24. If two numbers 18 and 30 are removed, the average of the remaining numbers is:

A person walks 12 km towards North, then turns right and walks 5 km. He again turns right and walks 12 km. How far is he from the starting point?

Find the odd one out:

If \( \sqrt{x + 9} = 5 \), then the value of \( x \) is:

A shopkeeper gives 10% discount on an article marked at Rs.2500 and still gains 8%. The cost price of the article is:

Choose the correct missing number: 3, 8, 15, 24, 35, ?

If the ratio of boys to girls in a class is 7 : 5 and the total number of students is 48, then the number of girls is:

He promised to __ the discrepancies in the ledger before the auditors arrived.

It took the family years to __ the emotional trauma of the disaster.

She was so exhausted by the grueling schedule that she felt ready to __ under the sheer pressure.

During the trial, the defense attorney used expert testimonies to __ the claims made by the prosecution's star witness.

PERNICIOUS

The unexpected loss of funding meant they had to __ their expansion plans for the upcoming quarter.

AVUNCULAR