List of top Questions asked in CUET (UG)

How many chords can be drawn through 5 points on a circle ?

Two pipes A and B can fill a tank in 10 h and 15 h Respectively. Find the time taken to fill the tank when both the pipes are turned on simultaneously :

At what rate of interest 1,200 becomes ₹ 1,323 in 2 years where interest gets compounded annually:

Arun invests an amount of ₹4,000 at the rate of 2% simple interest per annum. For how many years did he invest the amount to double his sum?

A bag contains 6 white and 4 black ball. Two balls are drawn at random. Then the probability of getting balls of the same colour is ___.

What does ICDS stand for?

Arrange the following stations of Trance Siberian Railway from East to West direction.
A. Chita
B. Vladivostak
C. Moscow
D. Omsk
Choose the correct answer from the options given below :

If A is a non singular square matrix of order 3 such that \(A^3 = 4A^2\) then value of |A| is:

Derivative of \(2x^2\) with respect to \(5x^4\) is:

Le L be the set of all lines in a plane and R be the relation in L. defined as R = {(\(L_1, L_2\)): \(L_1\) is perpendicular to \(L_2\)} then R is:
A) Reflexive
B) Symmetric
C) Neither reflexive nor transitive
D) Transitive
E) Neither reflexive nor symmetric
Choose the correct answer from the options given below:

Consider the non-empty set consisting of children in a family and a relation R is defined as aRb if a is a brother of b. Then R is:

The value of the expression sin \([cot^{-1}(cos (tan^{-1}1))]\) is:

If \(x = \sqrt{a^{sin^{-1} t}}\), \(y = \sqrt{a^{ cos^{-1}t}}\) then \(\frac{dy}{dx}\) is:

Two cards are drawn without replacement. The probability distribution of number of aces is given by:

The solution set of the inequality \(2x + 3y < 4\) is:

The corner points of the feasible region determined by the system of linear inequalities are (0,0), (4, 0), (2, 4) and (0.5). If the maximum value of Z = ax + by where a, \(b > 0\) occurs at both (2, 4) and (4.0), then

The area bounded by x = 1, x = 2, xy = 1 and x-axis is:

If, A is a square matrix of order 3 and |A| = -2 then. \(|-2 \ A^{-1}|\) is:

Name the famous European painter, who was deeply inspired by the Mughal court paintings.

The value of b for which the function f(x) = sinx - bx + C, where b and e are constants is decreasing for \(x \in R\) is given by

The area of the region enclosed between the parabolas \(y^2 = x + 1\) and \(y^2 = x + 1\) is:

The solution of the differential equation cosx siny dx + sinx cosy dy = 0 is:

Two tailors A and B earn ₹150 and ₹200 per day respectively. A can stitch 6 shirts and 4 pants per day, while B can stitch 10 shirts and 4 pants per day. If the tailors A and B work for x and y days respectively. To maximize the earning for producing at least 60 shirts and 32 pants, the LPP is:

If y = x + tan x, then value of \(\frac{d^2y}{dx^2}\) at \(x= \frac{\pi}{4}\) is:

Differential coefficient of see (\(tan^{-1} x\)) with respect to x is: