$(p \to q) \leftrightarrow (q\ \vee  \sim p)$ is 

Let,$p$ : Ramesh listens to music.

$q :$ Ramesh is out of his village

$r :$ It is Sunday

$s :$ It is Saturday

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"can be expressed as.

The Boolean expression $\left(\sim\left(p^{\wedge} q\right)\right) \vee q$ is equivalent to

The statement $p \to ( q \to p)$ is equivalent to

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

Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to