Ali starts from Point A and drives 21 km towards the East. He then takes a right turn, drives 11 km, turns right and drives 23 km. He then takes a right turn and drives 12 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 degrees turns only unless specified)

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OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 2)
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  1. 1 km to the North
  2. 2 km to the North
  3. 1 km to the South
  4. 2 km to the South

Answer (Detailed Solution Below)

Option 3 : 1 km to the South

Detailed Solution

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Let's trace Ali's movements:

qImage6800dc4f220568f517ed3699Task Id 1276 Daman (5)

To find the shortest distance and direction from P to A:

  • Net displacement in the East direction: 21 km - 23 km + 2 km = 0 km
  • Net displacement in the North direction: -11 km + 12 km = 1 km

This means Point P is 1 km to the North of the East-West line passing through Point A.

Therefore, Ali should drive 1 km towards the South to reach Point A again.

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