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Logical Reasoning
mediumQ. No. 19827

After travelling 25 km West; then 18 km South; then 10 km East; then 7 km North, in which direction is the traveller from the starting point?

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ASouth-West
BNorth
CSouth
DEast
Correct Answer: South-WestYour Answer: A

Explanation

Step 1: Place the start at O(0,0); positive x means East and positive y means North. | Step 2: Combine East and West moves: the net horizontal coordinate is x = -15 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = -11 km. | Step 4: Thus the final point is (-15,-11); its x-sign points West and its y-sign points South. | Step 5: Combining those two directions places the point in the South-West quadrant. | Step 6: Therefore the traveller is South-West of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option A — South-West.

Important Notes

  • Convert every East/West move into an x-change and every North/South move into a y-change. |
  • Use the signs of the final coordinates: (+,+) is North-East, (−,+) North-West, (+,−) South-East and (−,−) South-West. |
  • If one component is zero, the result is a cardinal direction. |
  • Direction depends on displacement, not on the order in which the same component moves are listed. |
  • Reverse direction pairs are North/South, East/West, North-East/South-West and North-West/South-East. |

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