The proposition $p \wedge (\sim p \vee q)$ is:
a tautology
logically equivalent to $p \wedge q$
logically equivalent to $p \vee q$
a contradiction
none of the above
$p \wedge (\sim p \vee q)$ $\equiv (p \wedge \sim p) \vee (p \wedge q)$ $\equiv F \vee (p \wedge q)$ $\equiv (p \wedge q)$ Hence, Option(B) logically equivalent to $ (p \wedge q)$.
Gatecse