The expression $((p \wedge q) \vee (p \vee \sim q)) \wedge (\sim p \wedge \sim q)$ is equivalent to

Negation of "Ram is in Class $X$ or Rashmi is in Class $XII$" is

The contrapositive of the statement "if $I$ am not feeling well,then $I$ will go to the doctor" is

Let $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b: (p \vee s) \leftrightarrow(q \wedge r)$. If the truth values of $p$ and $q$ are $T$ and that of $r$ and $s$ are $F$,then the truth values of $a$ and $b$ are respectively...

The contrapositive of the statement "$I$ go to school if it does not rain" is

If $p$, $q$, $r$ are simple propositions with truth values $T$, $F$, $T$ respectively, then which of the following is not a true statement?