The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to
$3^2 = 10$ and $I$ do not get second prize
$3^2 = 10$ or $I$ do not get second prize
${3^2} \ne 10$ or $I$ get second prize
None of these
The logically equivalent of $p \Leftrightarrow q$ is :-
Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ 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
$(p\; \wedge \sim q) \wedge (\sim p \wedge q)$ is