List of top Mathematics Questions asked in CUET (PG)

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

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

A dealer marked an item with cost price Rs.600 at 50% above the cost price and offered 20% discount. Find the selling price.

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.

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

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?

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

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

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:

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.

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

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:

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:

In regression analysis independent variable is also called as

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.

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 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:

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.

The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is

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?