Question

The contrapositive of the converse of the statement ''If Sam scores less than $30$ marks, then he will not pass the paper.'' is

• A. If Sam scores less than $30$ marks, then he will pass the paper.
• B. If Sam does not score less than $30$ marks, then he will pass the paper.
• C. If Sam will pass the paper, then he does not score less than $30$ marks.
• D. If Sam will pass the paper, then he scores less than $30$ marks.

Answer 1

The correct option is B If Sam does not score less than $30$ marks, then he will pass the paper.

Consider the statements :
$p:$ Sam scores less than $30$ marks.
$q:$ Sam will not pass the paper.

Converse of $p\to q$ is $q\to p$
Then, contrapositive of $q\to p$ is $\sim p\to \sim q$