The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to :
$s \wedge r$
$\;s \wedge \sim r$
$\;s \wedge \left( {r \wedge \sim s} \right)$
$\;s \vee \left( {r \vee \sim s} \right)$
The negation of the compound proposition $p \vee (\sim p \vee q)$ 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
Which Venn diagram represent the truth of the statement“No policeman is a thief”
The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to
If $p$ and $q$ are simple propositions, then $p \Rightarrow q$ is false when