The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is

Given the statement: "If a quadrilateral is a parallelogram,then its diagonals bisect each other."
Identify the following statements as the contrapositive or converse of the given statement:
$(i)$ If the diagonals of a quadrilateral do not bisect each other,then the quadrilateral is not a parallelogram.
$(ii)$ If the diagonals of a quadrilateral bisect each other,then it is a parallelogram.

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

The statement pattern $(p \wedge q) \wedge [(p \wedge q) \vee (\sim p \wedge q)]$ is equivalent to

The logical statement $(p \lor q) \land [(\sim p \land q) \lor (p \land \sim q)] \land \sim q$ is logically equivalent to

The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is a...