List of top Questions asked in CUET (UG)

The value of the integral \(\int\frac{1-\sin x}{\cos^2 x}dx\) is :

The value of k for which the matrix \(\begin{pmatrix} 0 & 2 & 4 \\ 2 & 0 & 5 \\ -3 & 5 & 0 \end{pmatrix}\) is a symmetric matrix is given by :

A vehicle whose cost is ₹7,00,000 will depreciate to scrap value of ₹1,50,000 in 5 years. Using linear method of depreciation, the book value of the vehicle at the end of the third year is :

A 10 m long, 4 m high and 24 cm thick wall is to be built using bricks having dimensions 25 cm × 12 cm × 8 cm. Number of bricks required is :

Value of 2⁴⁸ (mod 15) is :

The difference between length and breadth of a rectangle is 15m. If the perimeter of rectangle is 162 m, then the area of the rectangle (in m²) is

By investing ₹4650 in a \(7 \frac{1}{2} \%\)% stock, a person obtains an income of ₹300. The market price of the stock is:

The points of non differentiability of \(f(x) = |x-2| + |x - 3|\)
A. 1
B. 2
C. 3
D. 4
E. 5
Choose the correct answer from the options given below:

The area of the shaded portion

is:

The value of the sum of 10 term of the series
\(S_{10}=\frac{1}{2^2-1}+\frac{1}{4^2-1}+\frac{1}{6^2-1}+...\)

What is the maximum area of a rectangle which can be inscribed in a circle of radius 2 cm?

In an A.P., the product of the first term and the second term is 120 and the product of the second term and the third term is 168. Find the tenth term of the A.P. when common difference \(d>0\)

The Matrix \(M = \begin{bmatrix}        0 & 1 & -1           \\[0.3em]        -1  & 0           &1 \\[0.3em]       1          & -1 & 0     \end{bmatrix}\)is
(A) Symmetric matrix 
(B) Square matrix 
(C) Diagonal matrix
(D) Skew-symmetric matrix
(E) Scalar matrix
Choose the correct answer from the options given below:

The sum of order and degree of the differential equation\[\frac{\{1+(\frac{dy}{dx})^2\}^\frac{5}{2}}{\frac{d^2y}{dx^2}}=p\]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:

If \(y=log[\frac{x^2}{e^2}]\) then value of \(\frac{d^2y}{dx^2}\) is:

The maximum value of Z = 3x + 4y subject to constraint x + y ≤6, x, y ≥ 0 is:

The value of \(sin^{-1} [cos(sin^{-1}\frac {\sqrt{3}}{2})]\) is:

Let \(tan^{-1}y=tan^{-1}x+tan^{-1}(\frac{2x}{1-x^2})\). Then y is:

A 300 m long train is moving at a speed of 60 km/h. In what time will it cross a single pole?

A loan of ₹200000 at the interest rate of 6% p.a. compounded monthly is to be amortized by equal payments at the end of each month for 5 years. The monthly payment is:
[Given (1.005)^-60 = 0.74137220]

A piece of paper is folded and a cut is made as shown below. How it will appear when opened?

The number of phone calls (in thousands) are made by a telephone company for five weeks as given below:

Week	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)
No. of Telephone calls	\(110\)	\(130\)	\(93\)	\(104\)	\(211\)

Taking a period of moving averages as 3 weeks, the graph of moving averages can be depicted directly as :

The value of \(K\),If \(\begin{bmatrix}    1 & K & 3          \\[0.3em]        3 & K   & -2 \\[0.3em]  2  & 3 & -1      \end{bmatrix}=33\),is :