List of top Mathematics Questions asked in CUET (UG)

If point \(B(0, 1)\) is equidistant from points\( A(5, -3) \)and \(C(x, 6)\), then find the values of \( x\)

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

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:

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

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 simple interest of Rs 6500 for \(1\frac{1}{2}\) years at 10% is

The integrating factor of differential equation \(\frac{dy}{dx}+y=\frac{1+y}{x}\) is:

If CE||DB, what is the value of x:

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

A random variable X has the following probability distribution

then value of E(X) is:

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:

A man spends 60% of his income and saves the remaining. His income increases by 28% and his expenditure also increases by 30%. Find the percentage increase in his savings.

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:

A container is full of mango juice. One fifth of juice is taken out from this container and then an equal amount of water is poured into the bottle. This process is repeated 3 more times. The final ratio of juice and water in the container 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:

In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹3,500, A's share is:

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

Given expression:
\(\frac{(0.682)^2-(0.318)^2}{0.682-0.318}\)