List of top Mathematics Questions asked in CUET (PG)

On a certain sum of money lent at 16% per annum, the difference between the compound interest for 1 year, payable half yearly and the simple interest for 1 year is ₹ 56. The sum is:

The standard deviation for the following distribution:

Class	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	3	7	12	15	8	3	2

The Mean deviation about the Mean for the following data 6,7,10,12,13,4,8,12.

The security guard of a hospital allows enter to 5 persons from a room for a checkup from a group of patients which has 10% Covid infected patients. The probability that there is at least one person Covid infected patients, is

A box contains 9 balls of which 4 are Golden, 3 are Silver and 2 are Steel. The balls are similar in shape and size. A ball is drawn at random from the box. The probability that it will not be a silver ball

The average marks of students in a group of 6 students is 119. The individual marks of five of them are 115, 109, 129, 117, 114. The marks of sixth student is

Any square matrix A can be expressed as:
1. The product of a symmetric and a skew-symmetric matrices. 
2. The division of a symmetric matrix by a skew-symmetric matrix. 
3. The sum of a symmetric and a skew-symmetric matrices. 
4. The subtraction of a symmetric from a skew-symmetric matrix.

If X is a square matrix of order NxN, then for any constant c, |cX| is equal to,

Consider the runs scored by two batsmen in their last ten matches as follows:
Batsman A: 30, 91, 0, 64, 42, 80, 30, 5, 117, 71 
Batsman B: 53, 46, 48, 50, 53, 53, 58, 60, 57, 52 
The Median of the runs scored by Batsman A and Batsman B respectively

If X and Y are invertible matrices of same order then

Find the value of
16÷4×4−3+2

A fruit vendor bought apples for 6,000. He sold 40% stock with 25% profit, another 40% stock with 15% profit and the rest with 10% profit. Find his profit percentage.

Out of the three numbers, first number is twice of the second number and thrice of the third number. The average of their reciprocals is 1/6. The numbers are:

A cardboard box of dimensions 80 cm x 60 cm x 75 cm is to be constructed. Find the cardboard required (in m^2) for the box.

Process of indicating addition [3+2=5] at number system

Choose the correct answer from the options given below:

Two natural numbers are in the ratio 3:5 and their product is 2160. The smaller of the numbers is

If an article is sold at 300 percent profit, then the ratio of its cost price to its selling price will be

How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?

The figure (A) is showing which type of function?

If the equation \(3x^2 – 10x + 2p\) = 0 has equal roots then the value of p is –

If a certain sum invested on compound interest becomes 3 times in 4 years, then the no. of years in which this sum will become 27 times at the same rate of interest is -

The average of 11 numbers is 52. The average of the first 6 numbers is 55 and the average of last 6 numbers is 49. The sixth number is:

Two fair dice are thrown. The probability that the number of times the first dice exceeds 3 and that the second exceeds 4 will be:

Secondary source of data consists of
A. Interviews
B. Questionnaire
C. Government publication
D. Electronic media
E. Personal observation
Choose the correct answer from the options given below:

Find the general solution of the differential equation: \(\frac{dx}{x}+\frac{dy}{y}=0\)