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Isha starts from Point A and drives 5 km towards the East. She then takes a left turn, drives 7 km, turns left and drives 9 km. She then takes a left turn and drives 12 km. She takes a final left turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should she 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. 4 km to the East
  2. 3 km to the West
  3. 5 km to the North
  4. 2 km to the North

Answer (Detailed Solution Below)

Option 3 : 5 km to the North

Detailed Solution

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Isha's movements:

qImage6800dcd135c7f5e9d45984d2Task Id 1276 Daman (6)

Net displacement:

  • East: 5 km - 9 km + 4 km = 0 km
  • North: 7 km - 12 km = -5 km (or 5 km South)

To reach Point A from P:

  • Distance: 5 km
  • Direction: North

Isha should drive 5 km towards the North to reach Point A again.

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Q1.A man starts from point A and walks 5km towards East. He turns right and walks 4km; turns right again and walks 3km. He then takes another right and walks 6km. He walks 6km towards East; turns right and walks 2km and turns left and walks 1km to reach B. How far is A from B?
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