List of top Mathematics Questions asked in CUET (UG)

Arjun is twice as old as Shreya. Five years ago, his age was three times Shreya's age. Find the sum of their present ages:

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 ___.

A die is thrown. Find the probability of getting:
(A) A number greater then 6 and
(B) A number less than 3.

The value of x given by \(cos (tan ^{-1}x) = sin (cot^{-1} \ \frac{3}{4})\)is:

A man spends 60% of his income and saves the remaining. His income increases by 28% and his expenditure also increases by 30%. Find the percentage increase in his savings.

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:

If \(\frac{d}{dx}(2\frac{d^2y}{dx^2})^3= 7\), then the sum of order and degree of the differential equation is:

A random variable has the following probability distribution

The value of P(X <3) is:

If A=\(\begin{bmatrix} 2&3 \\ -1&1\end{bmatrix}\)and \(A^2-3A+kI = 0\) then the value of k is:

The value of the determinant \(\begin{vmatrix}cos^2θ&cosθsinθ&0 \\-sinθ&cosθ&0 \\ 0&0&1 \end{vmatrix}\) is equal to

If \(x = e^{y+e^y+.... to \space ∞}, x> 0\) then \(\frac{d^2y}{dx^2}\) is:

The value of \(\int\limits_{-1}^1x^2 [x] dx\) is:

The value of \(\int\limits_{-3}^2x^2 |2x| dx\) 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:

There are two values of a for which the determinant, \(\Delta =\begin{bmatrix}1& -2& 5\\[0.3em]0& a& 1\\[0.3em] 0& 4& 2a\\[0.3em] \end{bmatrix} = 86\), then the sum of these values of a is:

If A is a skew-symmetric matrix of order n. then

If, A = \(\begin{bmatrix}a& d& l\\[0.3em]b& e& m\\[0.3em]c& f& n\\[0.3em] \end{bmatrix}\)and B = \(\begin{bmatrix}l& m& n\\[0.3em]a& b& c\\[0.3em]d& e& f\\[0.3em]  \end{bmatrix}\), then

If A is a non-identity invertible symmetric matrix, then \(A^{-1}\) is:

If A = \(\begin{bmatrix}2a & 0& 0\\[0.3em]0& 2a& 0\\[0.3em]0&0 & 2a\\[0.3em] \end{bmatrix}\), then the value of \(|adj A|\)is:

If \(A= \begin{bmatrix}1 & 0 \\[0.3em]-1 & 5 \\[0.3em] \end{bmatrix}\) and \(I= \begin{bmatrix}1& 0\\[0.3em]0& 1\\[0.3em] \end{bmatrix}\) then the value of k so that \(A^2 = 6A + kI\) is given by:

If f(x)= \(\frac{\sqrt{4} + x - 2}{x}, If \ x \neq 0 \\ k \ If \ x \neq 0\) ,is continuous at x = 0, then the value of k is:

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