List of top Questions asked in CUET (PG)

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:

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:-

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

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

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

In regression analysis independent variable is also called as

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:

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

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

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

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

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

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

If A = {2, 3, 6} and B = {2, 3, 4, 5, 6} are two sets, then
(A) A⊂B
(B) AUB=B
(C) A∩B=Φ
(D) A∩B= A
Choose the correct answer from the options given below:

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.

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) :

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?

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.

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.

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?

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:

The base of hexadecimal system is

Three boys A, B and C are running with speeds 40 m/s, 2500 m/minute and 144 km/h respectively, then
(1) A and C have same speed which is less than the speed of B
(2) Speed of B is the highest
(3) Speed of C is more than the speed of B
(4) All the boys A, B, and C have equal speeds
Choose the correct answer from the options given below: