Return to origin with four right turns: Sanmitra: North 3 km → right 2 → right 5 → right 2 → right 2. Which direction is he facing now?

Difficulty: Medium

Correct Answer: North

Explanation:


Introduction / Context:
We track heading through four right turns; the path actually returns to the start before the final leg completes.


Given Data / Assumptions:

  • N 3 → E 2 → S 5 → W 2 → N 2.
  • Asked: final facing after the last turn and walk.


Concept / Approach:
Each right rotates 90° clockwise. Track: N → E → S → W → N.


Step-by-Step Solution:

Final move is North; he is facing North.


Verification / Alternative check:
Coordinate sum returns to (0, 0); heading remains the last move’s direction, North.


Why Other Options Are Wrong:
They contradict the rotation sequence.


Common Pitfalls:
Assuming “return to start” implies facing the original heading automatically—here it happens to match, but compute turns explicitly.


Final Answer:
North

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