CSIR NET Maths previous year question papers

Single choice · The Real Line

1. A

   There exist non-negative integers p, q such that both (A) and (B) are true.

2. B

   Both (A) and (B) are false if and only if p = q.

3. C

   For all non-negative integers p and q, (A) or (B) is true.

4. D

   There exists p ≠ q such that both (A) and (B) are false.

Single choice · Vector Spaces and Linear Maps

1. A

   125

2. B

   144

3. C

   145

4. D

   480

Single choice · The Real Line

1. A

   The series converges for all $\alpha \in (0,1)$ and for all $\beta \in (1,\infty)$.

2. B

   The series converges for $\alpha = 1$ and $\beta = 1$.

3. C

   The series converges for $\alpha = 1$ and for all $\beta \in (1,\infty)$.

4. D

   The series converges for all $\alpha \in (0,\infty)$ and for all $\beta \in (0,\infty)$.

Single choice · Continuity and Differentiation

1. A

   f is monotone.

2. B

   f is continuous but not strictly monotone.

3. C

   f is not continuous.

4. D

   f is continuous but not uniformly continuous.

Single choice · The Real Line

1. A

   $\sup A = 2 + 2\sqrt{3}$

2. B

   $\sup A = 3 + 2\sqrt{2}$

3. C

   $\inf A = 2 + 2\sqrt{3}$

4. D

   $\inf A = 3 + 2\sqrt{2}$