The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is which of the following?

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?

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

If $A$: Lotuses are Pink and $B$: The Earth is a planet. Then the verbal translation of $(\sim A) \vee B$ is

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

If the statement $p \leftrightarrow (q \rightarrow p)$ is false,then the true statement/statement pattern is