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CA Foundation · Quantitative Aptitude · Direction Tests

Starting from a point A, Sanjay walks 9 km south, then 12 km west, then 9 km north. How far is he from A and in which direction?

He is 12 km west of A. The 9 km walk south is exactly undone by the 9 km walk north, so the only net displacement is the 12 km westward leg. Hence the shortest distance is 12 km and the direction is west.

  1. A12 km, westCorrect
  2. B18 km, west
  3. C15 km, south-west
  4. D12 km, east

Explanation

The 9 km south and 9 km north cancel each other out. Only the 12 km west displacement remains. So he is 12 km west of A. The 15 km option wrongly applies Pythagoras to 9 and 12 without cancelling the opposite legs.

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