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

The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :

The contrapositive of the statement "If it is raining, then I will not come", is

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

Negation of the compound proposition : If the examination is difficult, then I shall pass if I study hard

If $(p\; \wedge \sim r) \Rightarrow (q \vee r)$ is false and $q$ and $r$ are both false, then $p$ is