The proposition $\sim (p \vee \sim q) \vee \sim (p \vee q)$ is logically equivalent to

Which of the following logical statements is a tautology?

The statement that is $TRUE$ among the following is:

The statement pattern $p \rightarrow \sim(p \wedge \sim q)$ is equivalent to

The contrapositive of $\sim q \to p$ is equivalent to

The number of choices of $\Delta \in \{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$,such that $(p \Delta q) \Rightarrow ((p \Delta \sim q) \vee ((\sim p) \Delta q))$ is a tautology,is