Which of the following statements is logically equivalent to $\sim (p \leftrightarrow q)$?

Which of the following statements is $NOT$ logically equivalent to $(p \to \sim p) \to (p \to q)$?

For the statements $p$ and $q$,consider the following compound statements :
$(a)$ $(\sim q \wedge (p$ $\rightarrow q))$ $\rightarrow \sim p$
$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$
Then which of the following statements is correct?

$\sim (p \Leftrightarrow q)$ is

The statement $\sim[p \vee (\sim(p \wedge q))]$ is equivalent to

Which of the following is not true?