If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively
$T, F, F$
$F, F, F$
$F, T, T$
$T, T, F$
The contrapositive of the statement "I go to school if it does not rain" is
If $p , q$ and $r$ are three propositions, then which of the following combination of truth values of $p , q$ and $r$ makes the logical expression $\{(p \vee q) \wedge((\sim p) \vee r)\} \rightarrow((\sim q) \vee r)$ false ?
Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ is
The negation of the statement $q \wedge \left( { \sim p \vee \sim r} \right)$
The Boolean expression $\sim\left( {p\; \vee q} \right) \vee \left( {\sim p \wedge q} \right)$ is equivalent ot :