Relative location between two houses using equal legs: Ahmed travels North from his house, then left (West), then South, all with equal distances, to reach Sohan's house. In which direction is Ahmed's house from Sohan's house?
Verbal Reasoning
Direction Sense Test
Difficulty: Easy
Choose an option
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AEast
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BSouth
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CNorth
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DWest
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ENone of these
Answer
Correct Answer: East
Explanation
Introduction / Context:Equal-length legs simplify to a net lateral shift. Identify the final relative direction of Ahmed's house from Sohan's house.
Given Data / Assumptions:
- North d, then West d, then South d.
- Equal d in each leg.
Concept / Approach:Vertical legs (North and South) cancel; the sole remaining net displacement is West by distance d. Therefore, Sohan's house is West of Ahmed's house, so Ahmed's house is East of Sohan's.
Step-by-Step Solution:
Start A: (0,0) → North d → (0,d).West d → (-d,d) → South d → (-d,0).Vector from S (−d,0) to A (0,0) is East.Verification / Alternative check:Draw a right-angled path; only horizontal shift remains.
Why Other Options Are Wrong:They imply residual North/South/West offset, which is canceled or opposite.
Common Pitfalls:Reporting direction of Sohan from Ahmed instead of Ahmed from Sohan.
Final Answer:East