The negation of the Boolean expression $p \vee (\sim p \wedge q)$ is equivalent to

The inverse of the statement pattern $(p \vee q) \rightarrow (p \wedge q)$ is

$(p \to q) \leftrightarrow (q \vee \sim p)$ is

Rewrite the following statement using "if-then" in five different ways conveying the same meaning:
"If a natural number is odd,then its square is also odd."

State whether the "Or" used in the following statement is "exclusive" or "inclusive". Give reasons for your answer.
To apply for a driving licence,you should have a ration card or a passport.

Show that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.