$(p \to q) \leftrightarrow (q\ \vee  \sim p)$ is 

The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is

The negation of the statement $q \wedge \left( { \sim p \vee  \sim r} \right)$

The Boolean expression $\sim\left( {p\; \vee q} \right) \vee \left( {\sim p \wedge q} \right)$ is equivalent ot :

The statement $p \to ( q \to p)$ is equivalent to

The logically equivalent of $p \Leftrightarrow q$ is :-