Question

The contra positive of the statement "If it does not rain, then I will go to school." is

• A. If it rains then I will not go to school
• B. If I will not go to school, then it rains
• C. If it rains then I will go to school
• D. If I go to school, then it will rain

Answer 1

The correct option is B If I will not go to school, then it rains

$p$: It does not rain
$q$: I will go to school
We know, contra positive of $p\Rightarrow q$ is $\sim q\Rightarrow \sim p$
So, contra positive of the statement "If it does not rain, then I will go to school." is
"If I will not go to school ,then it rains."