Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is
$p \wedge \sim q$
$ \sim p \vee q$
$ \sim p \wedge q$
$p \vee \sim q$
The negation of the compound proposition $p \vee (\sim p \vee q)$ is
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
Which Venn diagram represent the truth of the statement“All students are hard working.”
Where $U$ = Universal set of human being, $S$ = Set of all students, $H$ = Set of all hard workers.
Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.
If $P \Rightarrow \left( {q \vee r} \right)$ is false, then the truth values of $p, q, r$ are respectively