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Logical Reasoning
hardQ. No. 19764

Riya starts from a marker and walks 28 km East, then 12 km South, then 16 km West, then 7 km North. What is her shortest distance from the marker?

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A12 km
B13 km
C14 km
D63 km
Correct Answer: 13 kmYour Answer: B

Explanation

East/West changes x and North/South changes y. | Step 2: Net horizontal displacement = 12 km and net vertical displacement = -5 km. | Step 3: Shortest distance = √(12² + 5²) = 13 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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