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)?

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