List of top Mathematics Questions asked in CUET (UG)

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

The ratio of speeds of a motor boat and that of current of water is 35:6. The boat goes against the current in 6 hours 50 minutes. The time taken by boat to come back is :

A cistern is filled in 30 minutes by three pipes A, B and C. The pipe C is thrice as fast as pipe A and pipe B is twice as fast as A. The time taken by pipe A alone to fill the cistern is:

The money needed to invest now, so as to get ₹7500 at the beginning of each month forever (starting from the current month) if the money is worth 9% per annuum compounded monthly is.

If |\(\vec{a}\)| = 5, |\(\vec{b}\)| = 2 and |\(\vec{a}\) · \(\vec{b}\) | = 8 then the value of |\(\vec{a} \)×\(\vec{b} \)| is:

Let\[f(x)=\begin{cases} 2x-1, x<1\\ 1, x=1 \\ x^2,x>1 \end{cases}\]then at x = 1

The function f(x) = \(|x - 1|\) is

The points of discontinuity of the function \(f\) defined by \(f(x) = \begin{cases} x+2 & x≤1 \\ x-2 &1<x<2\\ 0& x≥2\end{cases}\) are:

If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:

If \(y=x^3\log x, then\ \frac{d^2y}{dx^2}\) is:

In how many ways can a committee of 7 members be selected from 6 men and 5 women consisting of 4 men and 3 women ?

The value of \(\int_1^4|x-1|dx \)  is :

Maximum slope of the curve \(y = -2x^3 + 6x^2 + 5x - 20\) is:

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

The value of the determinant \(\begin{vmatrix} x+y & y+z & z+x \\ z & x & y \\ 1 & 1 & 1 \end{vmatrix}\) is :

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

Match List - I with List II. If \(A = \begin{vmatrix}3&-2&3 \\2 &1 &-1 \\4 &-3 &2\end{vmatrix}\)

Choose the correct answer from the options given below:

The value of C which satisfies Rolle's Theorem for f(x) = sin⁴x + cos⁴x in \([0, \frac{π}{2}]\). Then C is:

Which of the following is a correct statement ?

If \(y=sin^{-1}x \) and \((1-x^2)\frac{d^2y}{dx^2} -x \frac{dy}{dx}=K\),then value of K is:

For two events A and B
Match List I with List II

List I	List II
A. \(P (\bar{\bigwedge} \cap \bar{B}) = P(\bar{\bigwedge}) . P(\bar{B})\)	I. \(P(A/B) \geq P(A)\)
B. \(A \subset B \) and \(P(B) \neq0\)	II. \(P(A) = P(B)\)
C. \(P(A \bigcup B) = P(A) + P(B)\)	III. A and B are independent events
D. \(P(A|B) = P (B|A)\)	IV. A and B are mutually exclusive events

Choose the correct answer from the options given below:

The set of all positive integers less than 50 forming the equivalence class of 8 for modulo 11 is:

The maximum value of the function \(f(x)=x+\sqrt{1-x}\) on the interval [0,1] is, 

For the LPP Max Z=3x+4y, x+y≤40; x+2y≤ 60, x≥0, y≥0 the solution is:

The maximum value of\( z=2.5x+y\) subject to the constraints \( x+3y\leq12, 3x+y\leq12, x, y\geq0, \) is: