The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to
$s \wedge \sim r$
$s \wedge \left( {r \wedge \sim s} \right)$
$s \vee \left( {r \vee \sim s} \right)$
$s \wedge r$
The negative of the statement $\sim p \wedge(p \vee q)$ is
Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$
Suppose $p, q, r$ are positive rational numbers such that $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is also rational. Then
The negation of the compound proposition $p \vee (\sim p \vee q)$ is
Negation of "If India wins the match then India will reach in the final" is :-