The equivalent form of the statement $\sim(p \rightarrow \sim q)$ is $ . . . . . . $

Simplify the Boolean function $(x \cdot y)+[(x+y') \cdot y]'$

Negation of the statement "The payment will be made if and only if the work is finished in time." is

If two triangles are congruent,then their areas are equal. What is the contrapositive of the inverse of this statement? (Where $p$: Two triangles are congruent,$q$: Their areas are equal)

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

The proposition $(p$ $\Rightarrow \sim p) \wedge (\sim p$ $\Rightarrow p)$ is a