$(p \wedge \sim q) \wedge (\sim p \vee q)$ is

The expression $\sim (p \vee q) \vee (\sim p \wedge q)$ is equivalent to:

The negation of the contrapositive of the statement pattern $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is

Consider the following statements.
$p: \text{If } 3^4 > 4^3, \text{then } 3^3 > 4^4$
$q: \text{The roots of the equation } x^2 - 2x + 2 = 0 \text{ are real if and only if Mumbai is in Maharashtra.}$
$r: \text{Statement } p \text{ is true or statement } q \text{ is false.}$
Which of the following has truth value $T$ (true)?

Consider the following three statements:
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$.
Which of the following statements is correct?

Determine which of the following is not a statement.