List of top Mathematics Questions asked in CUET (PG)

Choose the correct sequence of the four statements given below, so that the phrase makes a complete sense:
A. Then the sets of equations connecting both are known as transformation of co-ordinates.
B. We can associate a unique set of co-ordinates.
C. Given a point P in rectangular co-ordinates.
D. Called the curvilinear co-ordinates of P.
Choose the correct answer from the options given below.

If \(\overrightarrow r\) is the position vector of any point on a surface S that encloses the volume V, then find \(\iint\limits_S\overrightarrow r.d\overrightarrow S\)

If A=\(\begin{bmatrix} 1&0 \\[0.3em] 2&-1 \end{bmatrix}\) B= \(\begin{bmatrix} 3&7 \\[0.3em] 4&8 \end{bmatrix}\) and C = \(\begin{bmatrix} -1&1 \\[0.3em] 0&0 \end{bmatrix}\). The value of A+ (B+C) is

The line integral per unit area along the boundary of small area around a point in vector field \(\overrightarrow A\) is called

Match List I with List II

Choose the correct answer from the options given below:

If A = \(\begin{bmatrix}        2 & 3 & 1           \\[0.3em]        0 & -1           & 5 \end{bmatrix}\) and B = \(\begin{bmatrix} 1 & 2 & -1  \\[0.3em]  0 & -1  & 3 \end{bmatrix}\), what is the value of (2A-3B)?

Given below are two statements:
If \(z_1\) and \(z_2\) are complex numbers
Statement-1 : \(arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)\)
Statement-II : \(|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)\)
In the light of the above statements, choose the correct answer from the options given below.

Ankit owes ₹ 42,580 on his credit cards, but he could pay only ₹ 12,580. If the annual rate of compound interest is 10%, then how much will he owe after 4 years?

The percentage of loss when an article is sold at Rs. 50 is the same as that of the profit when it is sold at Rs. 70. Percentage of profit or loss on the article is ___.

A boat goes 12 km in one hour along the stream and 6 km in one hour against the stream. The speed of the stream in km/h is:

For x = 3, find the value of \(x^5+x^4-x^3-x^2+x-1.\)

The sides of three solid metallic cubes are 30cm, 40cm and 50cm respectively. Find the side of the new cube formed by melting the three cubes (in cm)

Which statistical method is best suitable for testing the goodness of fit between an observed and expected distribution?

Sonu and Monu start together from point A to reach to B, with speeds, 5 km/h and 3 km/h respectively. If Sonu reaches B one hour before Monu, then the distance between A and B is:

If a=130, b=133 and c=137, There the value of a³+b³+c³-3 abc is

Renu speaks truth in 70% of the cases and Bina in 75% of the cases. The percentage of ceses they are likely to contradict each other in stating the same fact is

Which of the following discount option in most beneficial for shop keeper?
(A) Successive discount of 20%, 30% and then pay 10% Service Tax. 
(B) Successive discount of 30%, 10% and then pay 10% Service Tax. 
(C) Pay Service Tax of 10% first, then successive discount of 20%, 30%. 
(D) Pay Service Tax of 10% first, then successive discount of 30%, 20%. 
Choose the most appropriate answer from the options given below

Mohan invest a certain sum at the rate of Simple Interest 5% per annum. Find the number of years for which Mohan has to invest the the sum to double his sum

Match List-I and List-II

LIST I		LIST II
A.	\(|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|\)	I.	45°
B.	\(|\vec{A}\times\vec{B}|=\vec{A}.\vec{B}\)	II.	30°
C.	\(|\vec{A}.\vec{B}|=\frac{AB}{2}\)	III.	90°
D.	\(|\vec{A}\times\vec{B}|=\frac{AB}{2}\)	IV.	60°

Choose the correct answer from the options given below:

If each observation of a Row data whose variance is σ² is multiplied by h, then the variance of the new set is

If every pair from among the equation x² + px + qr = 0, x² + qx + rp = 0 and x² + rx + pq = 0 has a common root, then the product of three common roots is_______.

Let \(a = cos\frac{2π}7 + isin\frac{2π}7\), a = a + a²+a⁴ and β = a³+ a⁵ +a⁶ then the equation whose root are α, β is

If f: R→R defined as of f(x) = x² + 1 then minimum value of f(x) is

A. If (12 P)₃ = (123)_p, then value of P is infeasible.
B. The simplified sum of product form of the Boolean expression is \((P+\vec{Q}+\vec{R}).(P+\vec{Q}+R). (P+Q+\vec{R}) \;is\; (P+\vec{Q}.\vec{R})\).
C. The minimum number of D flip-flops needed to design a mod(258) counter is 8.
Choose the correct answer from the options given below :

A. If A and B are two invertible matrices, then (AB)^-1 = A^-1 B^-1
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (A^T)^-1 = (A^-1)^T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :