if we multiply 2 odd numbers then result will be odd number.

and if Multiply 2 even numbers then result will be even number.Result of 2 even number multiplication can not be odd number.

Given that $n^{3}$ is odd.This is possible when $n^{2}$ and $n$ is also odd number.

**$Example:-$** $n=3$

$n^{2}=9$

$n^{3}=27$

Here we can see all are odd numbers.

Hence,Option(C)A and B only.