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
The contrapositive of the statement "I go to school if it does not rain" is
$\sim (p \wedge q)$ is equal to .....
The statment $ \sim \left( {p \leftrightarrow \sim q} \right)$ is
$\sim (p \Leftrightarrow q)$ is
The proposition $\left( { \sim p} \right) \vee \left( {p\, \wedge \sim q} \right)$