Question

If $p,q$ are statements expressed as
$p:$ If two integers $a$ and $b$ are such that $a>b$ then $a-b$ is always a positive integer
$q:$ If two integers $a$ and $b$ are such that $a-b$ is always a positive integer, then $a>b,$
then which among the following is correct regarding statements $p$ and $q$

• A. $\sim p$ is converse of $q$
• B. $\sim p$ is contrapositive of $q$
• C. $p$ is converse of $q$
• D. $p$ is contrapositive of $q$

Answer 1

The correct option is C $p$ is converse of $q$

The converse of a statement "If $x$ then $y$" is "If $y$ then $x$".
So from the above statement, we clearly have $p$ is converse of $q$