The Boolean expression $\sim (p \Rightarrow (\sim q))$ is equivalent to

Consider the following three statements:
$(A)$ If $3+2=7$ then $4+3=8$.
$(B)$ If $5+2=7$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=11$.
Which of the following statements is correct?

Consider the following statements:
$(A)$ If $4+3=8$,then $5+3=9$
$(B)$ If $6+4=10$,then the moon is flat
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$
Which of the following statements is correct?

The statement pattern $(p \wedge q) \to (r \vee \sim s)$ is false. Then the truth values of $p, q, r$ and $s$ are respectively

Write the contrapositive and converse of the following statement:
$x$ is an even number implies that $x$ is divisible by $4.$

Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$