The statement pattern $(\sim p \wedge q)$ is logically equivalent to

Check the validity of the statement given below by the method specified against it.
$q:$ If $n$ is a real number with $n > 3$,then $n^{2} > 9$ (by contradiction method).

The number of switches in the alternative equivalent simple circuit for the given circuit is:

$(p \wedge \sim q \wedge \sim r) \vee (\sim p \wedge q \wedge \sim r) \vee (\sim p \wedge \sim q \wedge r)$ is equivalent to-

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

If the truth value of the expression $[(p \vee q) \wedge (q$ $\rightarrow r) \wedge (\sim r)]$ $\rightarrow (p \wedge q)$ is False,then the truth values of $p, q, r$ are respectively: