The negation of the Boolean expression $\sim s \vee (\sim r \wedge s)$ is equivalent to

Which of the following statements is a tautology?

If the statement $(p \vee \sim r) \rightarrow (q \wedge r)$ is false and the statement $q$ is true,then what is the truth value of statement $p$?

The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is

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

If the truth value of the compound statement $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is $False$, then the truth values of $p \to q$ and $q \to p$ are respectively...