Prakesh starts from point A and drives 11 km towards the south. He then takes a right turn, drives 7 km, turns right and drives 13 km. He then takes a right turn and drives 9 km. He takes a final right 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 degree turns only unless specified.)

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  1. 2 km to the east
  2.  1 km to the west
  3.  2 km to the west
  4. 3 km to the west

Answer (Detailed Solution Below)

Option 3 :  2 km to the west
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Detailed Solution

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Given: 

Prakesh starts from point A and drives 11 km towards the south.

He then takes a right turn, drives 7 km, turns right and drives 13 km.

He then takes a right turn and drives 9 km.

He takes a final right turn, drives 2 km and stops at point P

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Thus, Prakesh should drive 2 km (9 km - 7 km) in the west direction in order to reach point A again.

Hence, "Option 3" is the correct answer.

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