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)$.