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
The false statement in the following is
The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is
Negation of the compound proposition : If the examination is difficult, then I shall pass if I study hard
$\left(p^{\wedge} r\right) \Leftrightarrow\left(p^{\wedge}(\sim q)\right)$ is equivalent to $(\sim p)$ when $r$ is.
Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is