Direction sense — deducing the initial facing After walking 200 m, I turned right and walked 100 m, then turned left and walked 300 m. In the end I am facing North. From which direction did I start my journey (initial facing)?

Difficulty: Easy

Correct Answer: North

Explanation:


Introduction / Context:
The problem asks for the initial facing given a right turn followed by a left turn and a known final facing.



Given Data / Assumptions:
Right turn then left turn returns the traveller to the original heading.



Concept / Approach:
If final facing equals the initial facing (right then left), and final is North, initial must be North.



Step-by-Step Solution:
Let initial = F.After right: F → Right(F).After left: Right(F) → F.Given final = North ⇒ F = North.



Verification / Alternative check:
Construct with any coordinates; orientation logic is independent of distances.



Why Other Options Are Wrong:
East/West/South conflict with the identity effect of a right followed by a left.



Common Pitfalls:
Mixing up position vs facing; distances don’t affect heading identity here.



Final Answer:
North

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