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

The contrapositive of $\sim q \to p$ is equivalent to

If the statement $p \vee \sim(q \wedge r)$ is false,then the truth values of $p, q$ and $r$ are respectively:

The negation of the statement $P$: "For every real number $x$,either $x > 5$ or $x < 5$" is:

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

Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $(p \nabla q) \Rightarrow ((p \nabla q) \nabla r)$ is a tautology. Then $(p \nabla q) \Delta r$ is logically equivalent to