The proposition $p \rightarrow \sim( p \wedge \sim q )$ is equivalent to

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

Statement $p$ $\rightarrow$  ~$q$ is false, if

The Boolean expression $\left(\sim\left(p^{\wedge} q\right)\right) \vee q$ is equivalent to

The negation of the Boolean expression $p \vee(\sim p \wedge q )$ is equivalent to

Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is