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Varun starts from Point A and drives 7 km towards north. He then takes a left turn, drives 4 km, turns left and drives 9 km. He then takes a left turn and drives 8 km. He takes a final left turn, drives 2 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. 4 km to the west
  2. 4 km to the east
  3. 3 km to the east 
  4. 3 km to the west

Answer (Detailed Solution Below)

Option 1 : 4 km to the west
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Detailed Solution

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Varun's movements:

Net displacement in North direction = 7 km - 9 km + 2 km = 0 km

Net displacement in East direction = -4 km + 8 km = 4 km

So, Point P is 4 km East of Point A.

To reach Point A from Point P, Varun needs to drive 4 km towards the West.

Hence, the correct answer is "Option 1"

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