Which of the following statements is a tautology?

The negation of the statement "All continuous functions are differentiable" is:

Consider the statement patterns:
$A$. $(q \to p) \lor (p \to q)$
$B$. $(\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C$. $[(p \lor q) \land \sim p] \land \sim q$
$D$. $(p \land q) \land (\sim p \lor \sim q)$
Which of the following is true?

Which of the following logical statements is a tautology?

If $p$ and $q$ each have truth value $F$,then the truth values of the statement patterns $(\sim p \vee q) \leftrightarrow \sim(p \wedge q)$ and $\sim p \leftrightarrow (p \rightarrow \sim q)$ respectively are

By giving a counterexample,show that the following statement is false: "If $n$ is an odd integer,then $n$ is prime."