List of top Mathematics Questions asked in CUET (PG)

Two numbers are 26% and 40% respectively of a third number what percentage is the first number of the second number?

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 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:

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

Find the sum of the fourth proportional of 60, 24, 15 and the mean proportional of 5 and 20.

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 trader sold an article at a gain of 20% Had he purchased it for 40% more and sold for 24 less, he would have incurred a loss of 20%. What is the cost price of the article?

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?

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

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

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

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.

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

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

Choose the correct answer from the options given below:

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

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

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: