When does the current flow through the following circuit

If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow( q *(\sim p ))$ is a tautology, then the Boolean expression $p *(\sim q )$ is equivalent 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 :

If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when

$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is

The contrapositive of the statement "I go to school if it does not rain" is