Negation of "If India wins the match then India will reach in the final" is :-
If India doesn't win match then India will not reach in the final.
India wins the match and India will not reach in the final.
India doesn't win the match and India will reach in the final.
None of these
If $p : 5$ is not greater than $2$ and $q$ : Jaipur is capital of Rajasthan, are two statements. Then negation of statement $p \Rightarrow q$ is the statement
The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is
If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to