A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m,…

A person walks 100 m straight from his house, turns left and walks 100 m, again turns left and walks 300 m, then turns right and walks 100 m to reach his office. In which direction does he walk initially from his house if his office is exactly in the North-East direction?
  1. North-West
  2. West
  3. South
  4. South-West

Solution

Suppose the person initially walked North. Tracing the path (forward 100, left 100, left 300, right 100) places the office in the South-West relative to the house. But the office must be in the North-East. To correct this, the diagram must be rotated 180°, so the assumed North direction becomes South. Hence the person initially walked towards the South.

Asked in: CSAT 2024

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