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Logical Reasoning
mediumQ. No. 19767

A delivery rider follows this route: 27 km West, then 24 km North, then 12 km East, then 16 km South. Determine the minimum distance back to the start.

Last Updated:

A17 km
B16 km
C18 km
D79 km
Correct Answer: 17 kmYour Answer: A

Explanation

Step 1: Let the start be (0,0). East/West changes x and North/South changes y. | Step 3: Shortest distance = √(15² + 8²) = 17 km.

Important Notes

  • Draw a north arrow before solving and take East as positive x, West as negative x, North as positive y, and South as negative y. |
  • Combine opposite movements before calculating distance: cancel East with West and North with South. |
  • Decide the final direction from the signs of the remaining horizontal and vertical displacements. For example, positive x and negative y indicate South-East. |

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