The compound statement $p \wedge (\sim p \wedge q)$ is

The logical statement $(p \lor q) \land [(\sim p \land q) \lor (p \land \sim q)] \land \sim q$ is logically equivalent to ...

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)?

Which of the following is equivalent to the Boolean expression $p \wedge \sim q$?

The statement $p \to (p \leftrightarrow q)$ is logically equivalent to :-

Which of the following is an open statement?