The compound statement $p \wedge (\sim p \wedge q)$ is

Which one of the following statements is not a tautology?

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

The logical equivalent of $p \Leftrightarrow q$ is :-

Which of the following is not a statement?

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