List of top Questions asked in CUET (UG)

The least value of positive integer \(m\) for which \(361=1 \) mod(\(m\)) is Not True, is:

Match List - I with List - II.

List - I	List -II
(A) t-distribution	(I)sample size\(\geq30\)
(B) Sample mean	(II)\(X\)
(C) Population mean	(III)degree of freedom
(D)Z-distribution	(IV)\(\mu\)

Choose the correct answer from the options given below:

Which of the following can be the probability distribution of a random variable ?

The mean and variance of a Binomial distribution are \(4\) and \(\frac43\) respectively, then the value of \(P(X\geq1)\) is:

If \( \frac {2-x}{4}-\frac{4+x}{6}\geq10 \) then :

If A and B are symmetric matrices, then which statements are correct?
(A) \((A-B)' = B' - A'\)
(B) \((AB+BA)\) is symmetric matrix
(C) \((AB)'= B'A'\)
(D)\( A'B' = B'A'\)
(E)\( (AB-BA) \)is skew symmetric matrix
Choose the correct answer from the options given below:

Match List - I with List - II.

List - I	List -II
(A) Null Matrix	(I)\(P(A)+P(B)\)
(B) Scaler Matrix	(II)\(P(A)+P(B)-2P(A\cap B)\)
(C) Skew-symmetric matrix	(III)\(P(B)-P(A\cap B)\)
(D)Symmetric Matrix	(IV)\(P(B)-P(A\cap B)\)

Choose the correct answer from the options given below:

A doll making small-scale unit calculates the variable cost of making x number of dolls per day as three times the square of \(x\). The fixed cost of packaging x dolls is  \(₹ 2800\). The marginal cost of producing 120 dolls:

\((6:30+19:50), \)in 24 hours clock is :

If \(I=\int_{0}^{4}  \frac{\sqrt{x}}{\sqrt{x}+\sqrt{4-x}}dx\), then 8\(I\) is:

The area of the region \(\{(x, y) : x^2 + y^2 \leq 2ax, y^2 > ax, x \geq 0, y \geq 0\} \text{ where } a > 0\) , is :

The coordinates of the foot of the perpendicular drawn from origin to the plane \(2x - 3y + 4z - 6 = 0\) is :

If \(\frac{x+y}{x-y}+\frac{x-y}{x+y}=\frac{10}{3}\),then \(\frac xy=\)

The mean of Binomial distribution \(B(4,\frac13) \) is : 

Anita and Bikram are two students. Their chances of solving a problem correctly are \(\frac13\) and \(\frac14\) respectively. If their probability of making a common error is  \(\frac{1}{20}\) and they both obtain same answer then the probability that their answer is correct, is :

Objective function \(z=30x-30y \) is subject to which combination of constraints, with feasible solution shown in the figure.

(A)\(x \geq 0, \quad y \geq 0, \quad x \leq 15\)
(B)\(y \leq 20, \quad x + y \leq 30\)
(C)\(x + y \leq 30, \quad x + y \leq 15, \quad 2x - y \leq 5\)
(D)\(2x + y \leq 30, \quad x + y \leq 15, \quad x > 15\)
(E)\(3x + y \leq 30, \quad x + 3y \leq 15, \quad y \geq 20\)
Choose the correct answer from the options given below:
 

If the planes \(\overrightarrow{r}.(2\hat{i}-\lambda\hat{j}+3\hat{k})=0\) and \(\overrightarrow{r}.(\lambda\hat{i}+5\hat{j}-\hat{k})=5\) are perpendicular to each other ,then value \(\lambda^2+\lambda \) is :

In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs none is defective, is :

The lines \(\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-K} \) and \(\frac{x-1}{K}=\frac{y-4}{2}=\frac{z-5}{1} \) are coplanar if :

Corners points of the feasible region for an LPP are \((1, 1)(2, 0) (3, 1)(\frac32,4)\) and \((0,5)\).Let \(z = px + 4y\),  be the objective function. If maximum of z occurs at \((\frac32,4)\) and\((3,1)\),then the value of p is : 
 

The value of \(sin^{-1}\frac{12}{13} +cos^{-1}\frac45+tan^{-1}\frac{63}{16}\) is :

Solution of a differential equation  \((1+ y2)dx=(\tan^{-1}y - x)dy\) is :

A vector \(\overrightarrow{r}\) is inclined at equal angles to the three axes. If the magnitude of \(\overrightarrow{r}\) is \(3\sqrt3\) units, then the value of \(\overrightarrow{r}\) is:

If \(\int e^x(tanx+1)secxdx=e^xf(x)+C,\) then \(f(x)\) is:
(A) \(e^X\)
(B) \(tanx\)
(C)\(secx\)
(D) \(secx \ tanx\)
choose the correct answer from the options given below

 

The area of the region bounded by the curve \(y^2 = 4x\), y -axis and the line\(y = 2\)  is