$\sim p \wedge q$ is logically equivalent to

The proposition $(p$ $\Rightarrow \sim p) \wedge (\sim p$ $\Rightarrow p)$ is a

Which of the following is not a statement?

$\sim(\sim p \rightarrow q) \equiv$

Given below are two statements:
$p: 25 \text{ is a multiple of } 5.$
$q: 25 \text{ is a multiple of } 8.$
Write the compound statements connecting these two statements with "And" and "Or". In both cases,check the validity of the compound statement.

The statement $p$ $\Rightarrow (q$ $\Rightarrow p)$ is logically equivalent to .....