$\{X : X$ is an even prime $> 3\}$ ---> There is no even prime number greater than $3$. So, this set is empty.
$\{X : X$ is a multiple of $2$ and is odd$\}$ -----> All numbers which have a factor $2$ are even. This set is also empty.
$\{X : X$ is an even number and $X+3$ is even$\} $ ----> If we add $3$ with an even number it'll become an ODD number. This set is empty
$\{X : X $ is a prime number $< 5$ and is odd$\} $----> $3$ is an ODD prime number which is less than $5$ . So, this set contains only number $3$
Here the only non-empty set is d) $\{X : X$ is a prime number $< 5$ and is odd$\}$