Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.

Consider

Statement $-1 :$$\left( {p \wedge \sim q} \right) \wedge \left( { \sim p \wedge q} \right)$ is a fallacy.

Statement $-2 :$$(p \rightarrow q) \leftrightarrow ( \sim q \rightarrow   \sim  p )$  is a tautology.

The logical statement $(p \Rightarrow q){\wedge}(q \Rightarrow \sim p)$ is equivalent to

$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is

The negation of the statement $''96$ is divisible by $2$ and $3''$ is