The contrapositive of the statement -If the distance is more than 20 km- then Ajay uses a vehicle- isA- 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-

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The contrapos...

Question

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

If the distance is more than

20

km, then Ajay does not use a vehicle.

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If the distance is not more than

20

km, then Ajay uses a vehicle.

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If the distance is not more than

20

km, then Ajay does not use a vehicle.

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If Ajay does not use a vehicle, then the distance is not more than

20

km.

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Solution

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.

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

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→q is given by ∼q→∼p So option (d) is correct.

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

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.