The simplest form of the following switching circuit is:

If $q$ is false and $p \wedge q \leftrightarrow r$ is true,then which of the following is a tautology?

Which of the following logical statements is a tautology?

Which of the following is true?

If the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?

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