List of top Mathematics Questions asked in CUET (PG)

If sec 5 A = Cosec A, then the value of A is

Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between \(\bar {X}±3σ\).
Statement II : 68.27% of the occurrences will lie between \(\bar {X}±1σ\).
In the light of the above statements, choose the correct answer from the options given below:

Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
Choose the correct answer from the options given below:

Match List I with List II :

List I (Method)		List II (Characteristic)
(A)	Mean	(I)	Identify what is most common
(B)	Median	(II)	Based on sound mathematics
(C)	Mode	(III)	Square-root of the variance
(D)	Standard deviation	(IV)	Divides into 2 equal parts

Choose the correct answer from the options given below:

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

In the equation \(y_i = β_0+β_1.X_1+ε_1, \ β_0\) stands for

The surface area of the sphere x² + y² + z² = 9 lying inside the cylinder x² + y² = 3y is

Let F: R³ →R² be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R³ is S and basis of R² is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R³ and R² is

Consider the trigonometric equation $ \tan(x) - \tan(y) = 0 $, where $x$ and $y$ are not odd multiples of $ \frac{\pi}{2} $. Then the solution of this equation is:

3 boys and 5 girls can complete one work in 8 days. 7 boys can complete the work in 4 days. Number of girls required to finish the work in half day is:

The term which is independent of n in the expansion of (7x²+\(\frac{1}{x}\))⁶ is

For any positive integer 7^m-3^m is divisible by

Two trains each of length 250 m start at the same time on two parallel tracks from point A and point B and approached each other with speed of 36 km/hr and 44 km/hr respectively. When they crossed each other, it was found that one train has moved 40 km more than the other. The distance between A and B is:

Perimeter of a square is same as perimeter of a rectangle. If sides of rectangle are in the ratio 17:11, then find the ratio in the areas of the square and the rectangle.

Twelve men can do a work in 8 days and 16 women can do the same work in 12 days. Eight men and 8 women worked together for 6 days. How many additional men need to be employed to complete the remaining work in one day?

Figure out the standard deviation (SD) for the following scores: 2, 4, 3 and 7 (Mean = 4).

Five men working 8 hours per day take 6 days to do a work. How many days will 12 men take to do the same work if they work for 10 hours per day?

Which of the following is false for linear programming problem (LLP)?

Two pipes A and B can fill a tank in 18h and 12h respectively. If both the pipes are opened simultaneously, then how much time will be taken to fill the tank

10 men and 15 women can do a work in 6 days. One man can do the work in 100 days. In how many days can a woman do the work?

If \(A=\begin{bmatrix} 7 & 9 & -2 \\ -2 & 0 & 3 \end{bmatrix}\) and \(B=\begin{bmatrix} 1 & 0 & 5 \\ 6 & 3 & 2 \end{bmatrix}\) then A+B =

A water tank can be filled by two pipes P and Q in 60 minutes and 30 minutes respectively. How many minutes will it take to fill the empty tank if pipes P and Q are opened for first half of the time, after which only pipe Q is opened for next half of the time?

Instead of walking along two adjacent sides of a rectangular field, a boy took a short-cut along the diagonal of the field and saved a distance equal to half of the longer side. Find the ratio of the length of the shorter side to that of the longer side of the field.

Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
\(f'(c) = \frac{f(b)-f(a)}{b-a}\)
This theorem in named

An athlete takes as much time in running 200 m as a car takes in covering 500m. The distance covered by the athlete during the time the car covers 2 km is: