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Question

The contrapositive of the statement "If the distance is more than 20 km, then Ajay uses a vehicle" is
  1. If the distance is more than 20 km, then Ajay does not use a vehicle.
  2. If the distance is not more than 20 km, then Ajay uses a vehicle.
  3. If the distance is not more than 20 km, then Ajay does not use a vehicle.
  4. If Ajay does not use a vehicle, then the distance is not more than 20 km.


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 pq is given by qp
So option (d) is correct.

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