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

Consider the statement patterns:
$A. (q \to p) \lor (p \to q)$
$B. (\sim p \lor \sim q) \leftrightarrow \sim (p \land q)$
$C. [(p \lor q) \land \sim p] \land \sim q$
$D. (p \land q) \land (\sim p \lor \sim q)$
Which of the following is true regarding these statement patterns?

Negation of the Boolean expression $p \Leftrightarrow (q \Rightarrow p)$ is:

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

Find the component statements of the following and check whether they are true or not.
Chandigarh is the capital of Haryana and $UP$.

The logical statement $[\sim(\sim p \vee q) \vee (p \wedge r) \wedge (\sim q \wedge r)]$ is equivalent to