List of top Mathematics Questions asked in CUET (UG)

Let \( A \) and \( B \) be two independent events such that \( P(A) = \frac{3}{5} \) and \( P(B) = \frac{4}{9} \).

Choose the correct answer from the options given below :

The probability of not getting 53 Tuesdays in a leap year is:

The probability of a shooter hitting a target is 3/4 How many minimum number of times must he fire so that the probability of hitting the target at least once is more than 90%?

A pair of dice is rolled . If the two numbers appearing on them are different the probability that
Match List-I with List-II
 

LIST-I(EVENT)	LIST-II(PROBABILITY)
(A) The sum of the number is greater than 11	(i) 0
(B) The sum of the number is 4 or less	(ii) 1/15
(C) The sum of the number is 4	(iii) 2/15
(D) The sum of the number is 4	(iv) 3/15

Choose the correct answer from the option given below

If\(\begin{bmatrix}5x+8 & 7 \\y+3 & 10x+12 \end{bmatrix} \)=\(\begin{bmatrix}2 & 3y+1 \\5 & 0 \end{bmatrix} \)then the value of 5x + 3y is equal to:

If \([A]_{3 \times 2} [B]_{x \times y} = [C]_{3 \times 1}\), then \( x \) and \( y \) are:

Given \[ A = \begin{bmatrix} 0 & \alpha & \beta \\ -\alpha & 0 & \gamma \\ -\beta & -\gamma & 0 \end{bmatrix}, \] the matrix $A$ is a:
(A) square matrix
(B) diagonal matrix
(C) symmetric matrix
(D) skew-symmetric matrix .
Choose the correct answer from the options given below:

If \(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix}  \quad \text{and} \quad  B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)then \((BA)^T\) is equal to:

If \( A = \begin{bmatrix} 5 & 1 \\ -2 & 0 \end{bmatrix} \) and \( B^T = \begin{bmatrix} 1 & 10 \\ -2 & -1 \end{bmatrix} \), then the matrix \( AB \) is:

If A is a square matrix of order 4 and |A| = 4, then |2A| will be:

For I =\(\begin{bmatrix}1 & 0 \\0 & 1 \end{bmatrix}\), if X and Y are square matrices of order 2 such that XY = X and Y X = Y , then (Y² + 2Y ) equals to:

If \( A = \begin{bmatrix} 2 & 3 \\ 1 & -4 \end{bmatrix} \) and \( B = \begin{bmatrix} 1 & -2 \\ -1 & 3 \end{bmatrix} \), then \( B^{-1} A^{-1} \) is equal to:

The domain of \( f(x) = \cos^{-1}(7x) \) is:

Let $A$ be a matrix such that $A^2 = I$, where $I$ is an identity matrix. Then $(I + A)^4 - 8A$ is equal to:

If \( A \) is a square matrix and \( I \) is an identity matrix such that \( A^2 = A \), then \( A(I - 2A)^3 + 2A^3 \) is equal to:

\(\text{ If } \Delta = \begin{vmatrix} 1 & \cos x & 1 \\ -\cos x & 1 & \cos x \\ -1 & -\cos x & 1 \\ \end{vmatrix} , \text{ then:}\)
\((A)\space \Delta = 2(1 - \cos^2 x)\)
\((B)\space \Delta = 2(2 - \sin^2 x)\)
(C) Minimum value of ∆ is 2
(D) Maximum value of \( \Delta \) is 4

For \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), if \( A = \begin{bmatrix} a & b \\ c & -a \end{bmatrix} \) be such that \( A^2 = I \), then:

If \[ A = \begin{bmatrix} 2 & 4 \\ x & 2 \end{bmatrix} \] and $A$ is singular, then $x$ is equal to:

If \(P = \begin{bmatrix} 5 & 3 \\ -1 & -2 \end{bmatrix}\) satisfies the equation \(P^2 - 3P - 7I = 0\), where \(I\) is an identity matrix of order 2, then \(P^{-1}\) is:

If \( A = \begin{bmatrix} -k & 0 \\ 0 & -k \end{bmatrix}, \, k \neq 0 \), then the value of \( m \) in \( (A^T)^4 = mA \) is:

If \[ \begin{bmatrix} 1 & 3 \\ 4 & 5 \end{bmatrix} \begin{bmatrix} x \\ 2 \end{bmatrix} = \begin{bmatrix} 5 \\ 6 \end{bmatrix}, \] then the value of \( x \) is:

If \( p, q, r \) are distinct, then the value of \[ \begin{vmatrix} p & p^2 & 1 + p^3 \\ q & q^2 & 1 + q^3 \\ r & r^2 & 1 + r^3 \\ \end{vmatrix} \] is:

Which of the following are components of a time series?(A) Irregular component
(B) Cyclical component
(C) Chronological component
(D) Trend Component
Choose the correct answer from the options given below:

Mohan caught 100 frogs from a garden and measured their weights. The mean weight of these frogs is a :

The function f(x) = |x| + |1 − x| is: