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

Negation of "Ram is in Class $X$ or Rashmi is in Class $XII$" is

If the truth value of the statement pattern $(\sim p \land q) \lor (\sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are respectively.

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

The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

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