The converse of the statement $((\sim p) \wedge q) \Rightarrow r$ is
$(\sim r ) \Rightarrow p \wedge q$
$(\sim r ) \Rightarrow((\sim p ) \wedge q )$
$((\sim p) \vee q) \Rightarrow r$
$( p \vee(\sim q )) \Rightarrow(\sim r )$
If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?
If $\mathrm{p} \rightarrow(\mathrm{p} \wedge-\mathrm{q})$ is false, then the truth values of $p$ and $q$ are respectively
The Boolean expression $( p \Rightarrow q ) \wedge( q \Rightarrow \sim p )$ is equivalent to :
If $p , q$ and $r$ are three propositions, then which of the following combination of truth values of $p , q$ and $r$ makes the logical expression $\{(p \vee q) \wedge((\sim p) \vee r)\} \rightarrow((\sim q) \vee r)$ false ?
If $p : 5$ is not greater than $2$ and $q$ : Jaipur is capital of Rajasthan, are two statements. Then negation of statement $p \Rightarrow q$ is the statement