List of top Questions asked in CUET (UG)

The value of x given by \(cos (tan ^{-1}x) = sin (cot^{-1} \ \frac{3}{4})\)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 \(P(A) = \frac{3}{10}\), \(P(B) = \frac{2}{5}\) and \(P(A \bigcup B) = \frac{3}{5}\), then \(P(B|A)+P(A|B)\) is equal to:

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

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

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

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

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:

If \(e^y(x+2)=10\), then \(\frac{d^2y}{dx^2}\) is equal to:

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

The general solution of differential equation \(\frac{dy}{dx} - xy = e^{\frac{x^2}{2}}\)

The interval on which the function \(f(x)=2x^3 +12x^2 +18x-7\) is decreasing, is:

The points on the curve \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are parallel to x-axis:

The value of the integral \(\int e^x (logx + \frac{1}{x})dx\) is:

Match List I with List II

List I	List II
\(A.\ [1 + (\frac{dy}{dx})^2] = \frac{d^2y}{dx^2}\)	I. order 2, degree 3
\(B. \ (\frac{d^3y}{dx^2})^2 - 3\frac{d^2y}{dx^2} + 2(\frac{dy}{dx})^4 = y^4\)	II. order 2, degree 1
\(C. \ (\frac{dy}{dx})^2 + (\frac{d^2y}{dx^2})^3 = 0\)	III. order 1, degree 2
\(D.\ (\frac{dy}{dx})^2 + 6y^3 = 0\)	IV. order 3, degree 2

Choose the correct answer from the options given below:

If, A is a square matrix of order \(3 \times 3\) such that \(A^2 = A\) and I is the unit matrix of order \(3 \times 3\), then the value of \((I-A)^3+A^2+I\) is:

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

If, \(f(x) = \begin{bmatrix}0 & x-a & x-b \\[0.3em]x+a&o & x-c \\[0.3em]x+b & x+c & 0\\[0.3em] \end{bmatrix}\), then \(f(0)\) is:

The soldiers were _____war

A. \(\begin{bmatrix}1& 2& 3   \\[0.3em]2 & 4 & 5   \\[0.3em]3 & 5&6   \\[0.3em] \end{bmatrix}\) is a Symmetric matrix. 
B. \(\begin{bmatrix}0 &0 &0   \\[0.3em]0& 0&0   \\[0.3em] \end{bmatrix}\) is a Null matrix.
C. \(\begin{bmatrix}1& 0& 0   \\[0.3em]0 & 2 & 0\\[0.3em]0 & 0&3\\[0.3em] \end{bmatrix}\) is an Identity matrix.
D. \(\begin{bmatrix}0& 1&2   \\[0.3em]-1 & 0 & 3   \\[0.3em]-2 & 3&0\\[0.3em] \end{bmatrix}\) is a Skew symmetric matrix.
E. \(\begin{bmatrix}\sqrt{3} &0& 0\\[0.3em]0 & \sqrt{3} & 0   \\[0.3em]0 & 0&\sqrt{3}   \\[0.3em] \end{bmatrix}\) is a Scalar matrix
Choose the correct answer from the options given below:

Match the idioms with most appropriate meaning

List-I		List-II
(A)	fish out of water	(I)	good luck
(B)	break a leg	(II)	someone about whom very little is known
(C)	leave in the lunch	(III)	to be put in an unfamiliar situation
(D)	dark horse	(IV)	abandon someone in a difficult situation

Choose the correct answer from the options given below:

Match the phrasal words with most appropriate meaning

List-I		List-II
(A)	draw up	(I)	make someone sad or depressed
(B)	drag out	(II)	prepare and write something
(C)	drag down	(III)	use a resource to do something
(D)	draw on	(IV)	make something longer than necessary

Choose the correct answer from the options given below:

Read the following sentence care. Some part of the sentence may have an error. Choose the most appropriate options.
Mumbai (A) | is New York (B) | of India (c)

Rearrange the following sentences to form a coherent paragraph
A. Because, if the manager's subordinates are inefficient and ineffective and are not helped to increase their efficiency and effectiveness, the task may not be achieved..
B. This may be just as true as the responsibility for achieving prescribed tasks.
C. If it is achieved at too great a cost, or at the risk of other effects many of which are less obvious.
D. It is often said that one of the prime responsibilities of a manager is the training and development of staff