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.
None of these
$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
$\sim (p \vee q)$ is equal to
If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of $p$ and $q$ are respectively .
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to