The expression $\sim ( \sim p \to q)$ is logically equivalent to

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

The negation of the statement "If an integer is greater than $4$ and less than $5$, then it is a multiple of $3$" is:

If the truth value of the compound statement $[(p \leftrightarrow q) \land (q \to r) \land \sim r] \to (p \land \sim q)$ is false, then the truth values of the statement patterns $(p \to q) \leftrightarrow (q \to r)$ and $\sim (p \lor r) \to (q \land p)$ are, respectively ...

The negation of the statement $\forall x \in N, x^2+x$ is an even number is

In a switching circuit, if the combination $(S_1 \land S_2)$ is connected in parallel to the combination $(S'_1 \land S'_2)$, then the room is lit only when ...