CUET PG 2025 Mathematics Question Paper (Mar 13, 2025) (Shift-2); Download PDF

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CUET PG 2025 Mathematics Question Paper (Mar 13, 2025) (Shift-2); Download PDF

CUET PG 2025 Mathematics Question Paper (13 March 2025, Shift-2) was conducted for postgraduate aspirants seeking admission to central and participating universities. The paper aimed to test candidates’ grasp of core mathematical concepts along with their problem-solving and analytical skills. It included questions covering areas such as algebra, calculus, linear algebra, real analysis, complex analysis, and differential equations. Designed in a multiple-choice format, the exam balanced theoretical understanding with application-based problem-solving, making time management and accuracy key factors for success.

Free

CUET PG 2025 Mathematics Question Paper (Mar 13, 2025) (Shift-2)

90 Minutes

75 Questions

300 Marks

English, Hindi

Showing 1 - 5 of 75 questions

Page 1 of 15

Q1.

If p is a prime number and a group G is of the order $p^2$, then G is:

trivial

non-abelian

non-cyclic

either cyclic of order $p^2$ or isomorphic to the product of two cyclic groups of order p each

Q2.

If $S = \lim_{n \to \infty} (1-\frac{1}{2^2})(1-\frac{1}{3^2})...(1-\frac{1}{n^2})$, then S is equal to:

$\frac{1}{4}$

$\frac{1}{2}$

Q3.

Let R be the planar region bounded by the lines $x = 0, y = 0$ and the curve $x^2 + y^2 = 4$ in the first quadrant. Let C be the boundary of R, oriented counter clockwise. Then, the value of $\oint_C x(1-y)dx + (x^2-y^2)dy$ is equal to:

Q4.

Let [x] be the greatest integer function, where x is a real number, then $\int_0^1 \int_0^1 \int_0^1 ([x]+[y]+[z]) dx dy dz =$

$\frac{1}{3}$

Q5.

Let V(F) be a finite dimensional vector space and $T: V\to V$ be a linear transformation. Let R (T) denote the range of T and N (T) denote the null space of T. If rank (T) = rank ($T^2$), then which of the following are correct?

A. $N (T) = R (T)$

B. $N (T) = N (T^2)$

C. $N (T) \cap R (T) = \{0\}$

D. $R (T) = R (T^2)$

A, B and D only

A, B and C only

A, B, C and D

B, C and D only

⋯

Page 1 of 15

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