The logically equivalent proposition of $p \Leftrightarrow q$ is

The contrapositive of statement 'If Jaipur is capital of Rajasthan, then Jaipur is in India' is 

If $p , q$ and $r$ are three propositions, then which of the following combination of truth values of $p , q$ and $r$ makes the logical expression $\{(p \vee q) \wedge((\sim p) \vee r)\} \rightarrow((\sim q) \vee r)$ false ?

$\sim (p \vee (\sim q))$ is equal to .......

For any two statements $p$ and $q,$ the negation of the expression $p \vee ( \sim p\, \wedge \,q)$ is 

The statement $(p \Rightarrow q) \vee(p \Rightarrow r)$ is NOT equivalent to.