List of top Questions asked in CUET (PG)- 2023

Find out which part of the sentence has an error, if there is no error, mark option 4.

Choose the correct pair.

The most suitable antonym of the given word "NEPOTISM" is:-

A solid metallic sphere of radius 6cm is melted and recasted into small solid balls of radius 0.6cm. Find the number of balls so formed.

Solution A Contains 12% water and the remaining is milk. Solution B contains 30% water and the remaining is milk. In what ratio should solutions A and B be mixed to obtain a mixture with 84% milk?

By selling 100 pens, a shopkeeper gains the selling price of 40 pens. Find his gain percent ( correct to 2 decimal places) :

A man invests some money partly in 8% stock at 105 and partly in 12%, stock at 90. In what ratio should he invest the money to have equal dividends?

A certain sum of money on simple interest amounts to 1,278 in 3 years and to 1,593 in \(5\frac 12\) years. Find the rate of interest per annum.

Three men and 2 boys can do a piece of work in 10 days, which 2 men and 3 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work?

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:

If \(\sin\theta=\frac{5}{13}\), then find the value of \(\frac{1+\tan\theta}{\sec\theta}\)

A quadrilateral ABCD has diagonal AC of length 28 cm. If the perpendiculars drawn from vertices B and D to AC are 30 cm and 21 cm respectively, then find its area.

In how much time will a sum of ₹ 3,300 become ₹ 3,399 at 6% per annum, interest compounded half yearly?

\(f_{x,y}(x,y)=\begin{cases}   (x+y)       & \quad  0\le x\le 1,0\le y\le 1 \\     0  & \quad \text{otherwise }   \end{cases}\)
The Probability \(P(x+y\le1)\) is:

Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)

The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is

In regression analysis independent variable is also called as

If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15

Given below are two statements:
Statement I: Line of regression of y on x is the line which gives the best estimate for the value of y for any specified value of x. 
Statement II: Line of regression of x on y is the line which gives the best estimate for the value of x for any specified value of y. 
In the light of the above statements, choose the correct answer from the options given below:

If X=[a_ij], i≥1, j≤n, with a_ij=i·j
Then number of linearly independent Rows are:

See the adjacent figure and find the value of ∠A in the semicircle

Which of the following is the set of those elements which are common in both A and B?

In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.

Value of \(\int_c\frac{2z+1}{z^2+z}dz\), where C is\(|z|=\frac{1}{2}\), is:

Pipes A and B can fill a tank in 25 hours and 10 hours respectively. Pipe A was opened and after half an hour pipe B was also opened. In how much time the tank got filled?