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A person starts from point P and walks 3 km towards the east to reach Q. He then turns left and walks 4 km to reach R, then turns left again and walks 6 km to reach S. What is the shortest distance from P to S, and in which direction is S from P?

Competition practiceDirection Sense
  • A5 km, North-East
  • B7 km, West
  • C5 km, North-West
  • D5 km, South-West

Step-by-Step Solution

P(0,0); east 3 to Q(3,0); left (north) 4 to R(3,4); left (west) 6 to . Distance = sqrt km, and is to the north-west of P.
Answer: C) 5 km, North-West

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