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

Let the operations $*, \odot \in \{\wedge, \vee\}$. If $(p * q) \odot (p \odot \sim q)$ is a tautology,then the ordered pair $(*, \odot)$ is:

State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
All integers are positive or negative.

The negation of $(p \wedge (\sim q)) \vee (\sim p)$ is equivalent to:

Which of the following is not a statement?

Let $p$ and $q$ be two statements. Then $\sim(p \wedge (p \Rightarrow \sim q))$ is equivalent to: