If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
$p$ is true and $q$ is true
Both $p$ and $q$ are false
$p$ is false and $q$ is true
None of these
The expression $ \sim ( \sim p\, \to \,q)$ is logically equivalent to
$(\sim (\sim p)) \wedge q$ is equal to .........
Let $*, \square \in\{\wedge, \vee\}$ be such that the Boolean expression $(\mathrm{p} * \sim \mathrm{q}) \Rightarrow(\mathrm{p} \square \mathrm{q})$ is a tautology. Then :
Which of the following is equivalent to the Boolean expression $\mathrm{p} \wedge \sim \mathrm{q}$ ?