Mohan starts from Point A and drives 24 km towards the east. He then takes a left turn, drives 32 km, turns left and drives 39 km. He then takes a left turn and drives 45 km. He takes a final left turn, drives 15 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)

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  1. 16 km to the south
  2. 12 km to the north
  3. 13 km to the north
  4. 10 km to the north

Answer (Detailed Solution Below)

Option 3 : 13 km to the north
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Mohan movement from point A to point P.

- www.bijoux-oeil-de-tigre.com F1 Sourav SSC 21 4 25 D202

Mohan's net East-West movement: +24 - 39 + 15 = 0 km.

Mohan's net North-South movement: +32 - 45 = -13 km (13 km South).

To reach Point A, he needs to travel 13 km towards the North.

Hence, the correct answer is "Option 3".

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