List of top Questions asked in CUET (PG)

If P (A∩B) = P(A).P(B), then event of A and B are

Given below are two statements:
Statement I: The Geometric mean of a set of n observations is the nth root of their product. 
Statement II: If X₁, X₂, X₃ ... X_n are the given n observations, then their G.M. is given by \(\sqrt{(X_1) (X_2) (X_3)....(X_n)}\) In the light of the above statements,

Consider the linear function from Z to Z: f= {(0, -5), (1, 0), (2, 5), (-1, -10)}. Then the function f(x) is

A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the sphere is 42 cm and the height of the vessel is 27 cm. Find its capacity in cm³. (Use: \(\pi = \frac {22}{7}\))

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.

The integral \(∫_{-1}^2|x^3-x|dx\) equals to

The regression analysis confined to the study of only two variables at a time, is called as

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

Which of the following is the linear regression equation

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

The function F(x) = [x] at x = 0 is

If X and Y are invertible matrices of same order then

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

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.

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

Simplify 0.9 [2.3-3.2(7.3-5.4-3.7)]-

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:

What is the value of X in the given proportion
14:10=X:15 ?

See the Diagram and think about the right responses. i.e. the figure show

If For each number in the given options, all their digit are arrange in descending order, which among the following corresponds to the smallest number?

Statement : No country is absolutely self-dependent these days.
Conclusion :
I. It is impossible to grow and produce all that a country needs.
II. The people of the country in general have c=become lazy.

Given below is the statement followed by two conclusions numbered I and II.
Statement: Our securities investment carry market risk. Consult your investment advisor or agent before investing.
Conclusions I: One should not invest in securities.
II: The investment advisor calculates the market risk with certainty.
Identify which of the conclusions follows the given statement:

Find the correct water image of the given figure (X)