Negation of "If India wins the match then India will reach in the final" is :-

The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to

Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is

Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow(( p \nabla$q) $\nabla r$ ) is a tautology. Then (p $\nabla q ) \Delta r$ is logically equivalent to

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

The following statement $\left( {p \to q} \right) \to $ $[(\sim p\rightarrow q) \rightarrow  q ]$ is