Question

The contrapositive of the statement "If the distance is more than $20$ km, then Ajay uses a vehicle" is

• A. If the distance is more than $20$ km, then Ajay does not use a vehicle.
• B. If the distance is not more than $20$ km, then Ajay uses a vehicle.
• C. If the distance is not more than $20$ km, then Ajay does not use a vehicle.
• D. If Ajay does not use a vehicle, then the distance is not more than $20$ km.

Answer 1

The correct option is D If Ajay does not use a vehicle, then the distance is not more than $20$ km.

Consider the statements:
$p:$ The distance is more than $20$ km.
$q:$ Ajay uses a vehicle.
Contrapositive for $p\to q$ is given by $\sim q\to \sim p$
So option (d) is correct.