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

Find the component statements of the following compound statement:
$0$ is a positive number or a negative number.

If $p, q, r$ are single propositions with truth values $T, F, F$ respectively,then the truth value of $(p \wedge \sim q) \rightarrow (\sim p \vee r)$ is

The negation of $p \rightarrow (\sim p \vee q)$ is

Write the negation of the following statement:
$q:$ All cats scratch.

Which of the following statements is a tautology?