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

Write the contrapositive and converse of the following statement:
If $x$ is a prime number,then $x$ is odd.

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

If $p$ and $q$ are simple propositions,then $p \Leftrightarrow \sim q$ is true when

The statements $p, q$ and $r$ have truth values True, False and False respectively. The truth values of a logical statement $[\sim (p \land \sim q) \lor (q \lor \sim r)]$ and its dual are, respectively.....

Which of the following statements is a tautology?