The statement $\sim(p\leftrightarrow \sim q)$ is :

If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?

The Boolean Expression $\left( {p\;\wedge \sim q} \right)\;\;\vee \;q\;\;\vee \left( { \sim p\wedge q} \right)$ is equivalent to:

$(\sim (\sim p)) \wedge q$ is equal to .........

$\sim (p \vee q) \vee (~ p \wedge q)$ is logically equivalent to

The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is