Question

Write the inverse of the converse of the statement"If today is diwali,then it is a holiday."

• A. If it is a holiday, then today is Diwali.
• B. If it is a holiday, then today is not Diwali.
• C. If it is not a holiday, then today is not diwali.
• D. If today is not diwali,then it is not a holiday,

Answer 1

The correct option is C If it is not a holiday, then today is not diwali.

For any conditional staements $p\to q$
Converse statement is $q\to p$
Inverse statement is $\sim p\to \sim q$
Contrapositive statement is $\sim q\to \sim p$
Performing any two action always result in third one.
So, in this case
$p$= today is diwali,
$q$= it is a holiday
Inverse of Converse statement is contrapositive statement \$\sim q\to \sim p$
$\Rightarrow$ If it is not a holiday, then today is not diwali.