List of top Mathematics Questions asked in CUET (PG)

The base of hexadecimal system is

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.

The product of two numbers is 4840. If the first number is two fifth of the second number, then what is the first number?

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?

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

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

The sum of two numbers is 40 and their HCF is 8. How many pairs of numbers satisfy both the conditions?

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.

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

The average age of a boy and a girl is 30 years. The ratio of their ages is 5:7. Ages of the boy and girl respectively:

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

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

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:

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

The average of nine consecutive natural numbers is 25. Find the smallest number.

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

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

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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:

Ram and Mohan can do a piece of work in 20 days. Mohan alone can do the work in 30 days. In how many days will Ram alone complete the work.

In regression analysis independent variable is also called as

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:-

Akhil is two times as efficient as Vinod and Kamal is three time as efficient as Vinod. They worked together and received ₹ 5,700 for doing the work. Find the share of Kamal in the money received.

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?

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?

Match List I with List II :

List I (Method)		List II (Characteristic)
(A)	Mean	(I)	Identify what is most common
(B)	Median	(II)	Based on sound mathematics
(C)	Mode	(III)	Square-root of the variance
(D)	Standard deviation	(IV)	Divides into 2 equal parts

Choose the correct answer from the options given below: