CSIR NET Maths previous year question papers

Multi-select · full marks only for the exact set · Rings and Fields

1. A

   If f is onto, then so is $f^{n}$ for all n ≥ 1.

2. B

   ker $f^{n+1}$ $= \ker f^{n}$ for some n ≥ 1.

3. C

   If f is onto, then f is one-to-one.

4. D

   If f is one-to-one, then f is onto.

Single choice · Rings and Fields

1. A

   K is dense in $\mathbb{C}$.

2. B

   K is an algebraic extension of $\mathbb{Q}$.

3. C

   $\mathbb{C}$ is an algebraic extension of K.

4. D

   The smallest closed subset of $\mathbb{C}$ containing K is NOT a field.