List of top Mathematics Questions asked in CUET (PG)

Match List-I and List-II

LIST I		LIST II
A.	Singular Matrix	I.	Determinant is always one.
B.	Real Symmetric Matrix	II.	Digonal element are necessarily either purely imaginary or zero
C.	Skew-Hermitian Matrix	III.	Eigen values are always Real
D.	Orthogonal Matrix	IV.	Determinant is always zero

Choose the correct answer from the options given below:

A sum is to be distributed among 4 persons in the proportion of 3:3:2:5. If second person gets ₹ 500 more than the third person them what is the share of the fourth person

Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.

Which of the following is false for linear programming problem (LLP)?

Evaluate
\(\frac{tan 55°}{cot 35°}+\frac{sin 33°}{cos 57°}+\frac{sec 49°}{cosec 41°}\)

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?

A bag contains 1 red, 3 green, 2 blue and 4 yellow balls. If a single ball is chosen at random from the bag, then what is the probability that it is yellow or green?

If the mean of 18, 19, x, 25 and 26 is 21, then find the mean of 5, 11, 13, 19 and (3x-1)

The two adjacent sides of a cyclic QUADRILATERAL are 2 and 5 and the angle between them is 60°. If the third side is 3, the remaining fourth side is -

Figure out the standard deviation (SD) for the following scores: 2, 4, 3 and 7 (Mean = 4).

What is the distance between point P(1, 2, 4) and Q(4,-2, 1) in a 3-D plane?

What is the median of the given data?
2, 3, 5, 0, 8, 13, 4

The signal flow diagram shown represents a feedback system subjected to a disturbance W (s). The transfer function relating output y(s) to w(s) with reference [R (s)= 0], is:-

Which response is right for the given Venn diagram (shaded portion)?

If 3x+4y = 60 and 4x+3y= 59, then the value of x+y is:

If \(A=\begin{bmatrix} 7 & 9 & -2 \\ -2 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} 1 & 0 & 5 \\ 6 & 3 & 2 \end{bmatrix}\) then A+B =

A water tank can be filled by two pipes P and Q in 60 minutes and 30 minutes respectively. How many minutes will it take to fill the empty tank if pipes P and Q are opened for first half of the time, after which only pipe Q is opened for next half of the time?

Which of the following is an example of non-probability sampling?

The average of first 50 terms of the given series 1,3,5,7_______ is:

The ratio of length and Breadth of a rectangle is 4:1 and its area is 64 cm² then what will be the value of length and Breadth of the rectangle?

The volume of cylinder is 1408 cm³ and its height is 7 cm. Find the total surface area of the cylinder (correct to 2 decimal places).
(Use \(\pi=\frac{22}{7}\))

If the side of a cube is increased by 25% then volume of the cube will increase by (correct to one decimal place):

A train with certains speed passes a standing man in 6 seconds and 210 m long plat form in 16 seconds. Then speed of the train is:

Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
\(f'(c) = \frac{f(b)-f(a)}{b-a}\)
This theorem in named

Calculate the value of median from the given data:
2.90, 3.57, 3.73, 2.98, 3.64, 3.75
3.30, 3.62, 3.76, 3.38, 3.66, 3.76