The negation of the statement $''96$ is divisible by $2$ and $3''$ is

The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to

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

$(p \wedge \, \sim q)\, \wedge \,( \sim p \vee q)$ is :-

The statement among the following that is a tautology is

Consider the following statements :

$A$ : Rishi is a judge.

$B$ : Rishi is honest.

$C$ : Rishi is not arrogant.

The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is