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

The negation of the converse of the statement $p \lor q$ is:

Negation of the statement: $\sqrt{5}$ is an integer or $5$ is irrational is

If $p, q$ and $r$ are three propositions,then which of the following combination of truth values of $p, q$ and $r$ makes the logical expression $\{(p \vee q) \wedge ((\sim p) \vee r)\} \rightarrow ((\sim q) \vee r)$ false?

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:

Which of the following sentences are statements? Give reasons for your answer.
"The sides of a quadrilateral have equal length."