List of top Mathematics Questions asked in CUET (PG)

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

The base of hexadecimal system 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:

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:

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?

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.

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

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

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

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

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?

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

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.

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

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:

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

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

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

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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.

Which one of the following is more useful and effective for a quick visualization of a limited amount of information?

In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?