The negation of the statement

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

For the statements p and q, consider the following compound statements :

(a) $$( \sim q \wedge (p \to q)) \to \sim p$$

(b) $$((p \vee q) \wedge \sim p) \to q$$

Then which of the following statements is correct?

The statement among the following that is a tautology is :

Consider the statement :
‘‘For an integer n, if n³ – 1 is even, then n is odd.’’
The contrapositive statement of this statement is :