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Logical Reasoning
hardQ. No. 19762

A delivery rider follows this route: 20 km West, then 15 km South, then 8 km East, then 6 km North. Determine the minimum distance back to the start.

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A14 km
B16 km
C49 km
D15 km
Correct Answer: 15 kmYour Answer: D

Explanation

Step 1: Let the start be (0,0). East/West changes x and North/South changes y. | Step 3: Shortest distance = √(12² + 9²) = 15 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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