Kapil starts from point A and drives 9 km towards west. He then takes a right turn, drives 1 km, turns right and drives 5 km. He then takes a left turn and drives 3 km. He then takes a left turn and drive 5 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 9 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. 12 km north
  2. 11 km north
  3. 10 km south
  4. 12 km south

Answer (Detailed Solution Below)

Option 4 : 12 km south
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Detailed Solution

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Given: 

Kapil starts from point A and drives 9 km towards west.

He then takes a right turn, drives 1 km, turns right and drives 5 km.

He then takes a left turn and drives 3 km.

He then takes a left turn and drive 5 km.

He then takes a right turn and drives 8 km.

He takes a final right turn, drives 9 km and stops at point P. 

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Thus, Kapil should drive 12 km (1 km + 3 km + 8 km) in the south direction in order to reach point A again.

Hence, "Option 4" is the correct answer.

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