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 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.
The value of \(\frac {1+tan^2θ}{1+cot^2θ} \times (1-sin^2θ)\) is
The average of nine consecutive natural numbers is 25. Find the smallest number.
The resultant vector of the cross product of the two vectors\( î+2j-k; 2i+j+k\) is
Which of the following is the set of those elements which are common in both A and B?
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 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 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 signal flow diagram shown
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.
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:
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:
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?
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?
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?
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:
If X=[aij], i≥1, j≤n, with aij=i·j
Then number of linearly independent Rows are:
In regression analysis independent variable is also called as
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?
In the figure, ∠AOC = 42° and PQ is perpendicular to CD. Find the value of x.
In the figure ∠AOC = 42° and PQ is perpendicular to CD
Simplify: \(\frac {\frac 34+\frac 15-\frac {1}{10}-1}{\frac 18+\frac 12-\frac 34}\)
If mean of 7, 2, 9, 4 and K is 5, then find the median of 12, 6, K, 9, 15
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?
The surface area of the cylinder \(x^2+z^2 = 4\) inside the cylinder \(x^2 + y^2 = 4\) is:
The middle value in a series of numbers, the point that neither exceeds nor is exceeded by more than 50 percent of the total observation ?