List of top Mathematics Questions asked in CUET (PG)

Akhilesh and Javed started a business by investing 50,000 and 60,000 respectively. Akhilesh being an active partner receives 12.5% of the profit in addition to his share of profit. How much Akhilesh gets out of a profit of 8800?

The solution x₁ = 1, x₂ = 1, x₃ = 0 and z = 3 to the system of equations
x₁+x₂+x₃=2
x₁+x₂-x₃=2
x₁,x₂,x₃≥0
which minimizes z = x₁ + 2x₂ + 3x₃ is

B is three times a old as A. After 5 years the ratio in the ages of A and B will be 1: 2. After how many years from now will the ratio in the ages of A and B become 2:3?

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:

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

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

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

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.

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

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.

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.

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?

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:

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

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

In what time will a 640 m long train cross an electric pole if its speed is 96 km/h?

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

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:

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

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:

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.