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EEJ MAIN Aptitude QUESTION #10971
Question 1
A person walks 4 km North, then 3 km East, then 4 km South. What is the shortest distance from the starting point?
  • 5 km
  • 7 km
  • 3 km✔️
  • 4 km
Correct Answer Explanation

Tracking displacement:

  • North 4 km: position (0, 4)
  • East 3 km: position (3, 4)
  • South 4 km: position (3, 0)

The North and South movements cancel each other (both 4 km). The person ends up 3 km East of the start.

Shortest distance = \(\sqrt{3^2 + 0^2} = \mathbf{3}\ \text{km}\