The logical statement

[ $$ \sim $$ ( $$ \sim $$ p $$ \vee $$ q) $$ \vee $$ (p $$ \wedge $$ r)] $$ \wedge $$ ($$ \sim $$ q $$ \wedge $$ r) is equivalent to :

If the Boolean expression
(p $$ \oplus $$ q) $$\wedge$$ (~ p $$ \odot $$ q) is equivalent
to p $$\wedge$$ q, where $$ \oplus , \odot \in \left\{ { \wedge , \vee } \right\}$$, then the
ordered pair $$\left( { \oplus , \odot } \right)$$ is :

If p $$ \to $$ ($$ \sim $$ p$$ \vee $$ $$ \sim $$ q) is false, then the truth values of p and q are respectively :

The Boolean expression

$$ \sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)$$ is equvalent to :