The contrapositive of $\sim q \to p$ is equivalent to

Write the negation of the following statement:
$p:$ For every positive real number $x,$ the number $x-1$ is also positive.

The negation of the proposition "If $2$ is prime,then $3$ is odd" is:

If $p$, $q$, $r$ are simple propositions with truth values $T$, $F$, $T$ respectively, then which of the following is not a true statement?

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

The contrapositive of the statement "If you are born in India,then you are a citizen of India" is: