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Logical Reasoning
mediumQ. No. 19833

After travelling 35 km East; then 12 km North; then 20 km West; then 4 km South, in which direction is the traveller from the starting point?

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ANorth
BSouth
CNorth-East
DEast
Correct Answer: North-EastYour Answer: C

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 = 8 km. | Step 4: Thus the final point is (15,8); its x-sign points East and its y-sign points North. | Step 5: Combining those two directions places the point in the North-East quadrant. | Step 6: Therefore the traveller is North-East of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option C — North-East.

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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