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Logical Reasoning
hardQ. No. 19832

Nisha walks 23 km North; then 17 km West; then 10 km South; then 5 km East. Which direction from the start contains her final position?

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ANorth
BNorth-West
CSouth
DEast
Correct Answer: North-WestYour 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 = -12 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = 13 km. | Step 4: Thus the final point is (-12,13); its x-sign points West and its y-sign points North. | Step 5: Combining those two directions places the point in the North-West quadrant. | Step 6: Therefore the traveller is North-West of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option B — North-West.

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. |
  • 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. |

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