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
$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to
Negation of the compound proposition : If the examination is difficult, then I shall pass if I study hard
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
The statement $\sim(p\leftrightarrow \sim q)$ is :