List of top Mathematics Questions asked in CUET (UG)

If y = Asinx + Bcosx, Where A and B are constants, then \(\frac{d^2y}{dx^2}\) is equal to :

The integral \(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\) equals_____.

If xy = e^(x-y), then the value of \(\frac{dy}{dx}\) at (1, 1) is :

Area bounded by y=|x-5| and x-axis between x = 2; and x = 4 is:

The area of the region bounded by the line 2y = 5x +7, x-axis and the lines x - 1 and x -3 is :

The heights of two right circular cones are in the ratio \(1 : 2\) and the circumferences of their bases are in the ratio \(3: 4.\) Find the ratio of their volumes.

The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.

A random variable X has the following probability distribution

then value of E(X) is:

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

Which one of the following is not an Arithmetic progression ?

If f(x) is a function which is derivable in an interval 1 containing a point c, then match List I with List II.

List I		List II
A.	f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then	I.	point of inflexion of f(x)
B.	Necessary condition for point x = c to be extreme point of f(x) is	II.	‘c’ is point of local minima of f(x)
C.	If f'(x) does not change its sign as x crosses the point x = c then it is called a	III.	c is a critical point of f(x)
D.	f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then	IV.	‘c’ is point of local maxima of f(x)

Choose the correct answer from the options given below :

The value of \(\int\limits_{-1}^1x^2 [x] dx\) is:

The value of \(\int\limits_{-3}^2x^2 |2x| dx\) is:

The price relatives and weights of a set of commodities are given as:

Commodity	P	Q	R
Price Relative	100	130	180
Weight	x	2x	y

If the sum of weights is 54 and index for the set is 130, then the values of x and y are

The straight line \( \frac{x+2}{3} = \frac{z-3}{ -2}, y-2 \) is

The point on the curve y²=16x for which the y-coordinate is changing 2 times as fast as the x-coordinate is:

First two words are related in a certain way in:
Transition: Change:: Immobility: ?
Identify the suitable word in place of? so that third and fourth words also become relatable the some manner.

The maximum value of Z= 2x + 3y subject to the constraints x≥0, y>0; x+y≤ 10, 3x+4y≤ 36 is:

In an examination the marks of six boys are 48, 59, 57, 37, 78, and 57 respectively. The average marks of all the six boys are :

If set A has 5 elements and set B has 7 elements than number of one-one and onto mapping from A to B is:

If f(x) - 27x³ and g(x) = \((x)^{\frac{1}{3}}\), then gof(x) is :

Area lying in first quadrant and bounded by the circle \(x^2+ y^2 = 9\) and the lines x = 1 and x = 3 is:

Match List I with List II

Choose the correct answer from the options given below:

A thief is spotted by a policeman from a distance of 100m. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken ?

Sourav completes a journey in \(5\frac12\) hours. If he covers half of the distance at \( 5\ km/h\) and the remaining distance at \(6\  km/h\), then find the total distance covered by him.