The Boolean expression $( p \Rightarrow q ) \wedge( q \Rightarrow \sim p )$ is equivalent to :

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

Which of the following Boolean expression is a tautology ?

Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.

The negation of the Boolean expression $p \vee(\sim p \wedge q )$ is equivalent to

The negation of the Boolean expression $ \sim \,s\, \vee \,\left( { \sim \,r\, \wedge \,s} \right)$ is equivalent to