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Logical Reasoning
hardQ. No. 19828

A mapping robot starts at X and moves 30 km North; then 22 km East; then 12 km South; then 9 km West. Locate its final position relative to X.

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ANorth
BNorth-East
CSouth
DEast
Correct Answer: North-EastYour Answer: B

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 = 13 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = 18 km. | Step 4: Thus the final point is (13,18); 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 B — North-East.

Important Notes

  • Draw a small compass and fix the start at (0,0). |
  • Convert every East/West move into an x-change and every North/South move into a y-change. |
  • Cancel opposite moves axis by axis. |
  • Use the signs of the final coordinates: (+,+) is North-East, (−,+) North-West, (+,−) South-East and (−,−) South-West. |
  • Direction depends on displacement, not on the order in which the same component moves are listed. |

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