A man starts for office facing North. He turns left, then turns right, and then turns right again. In which direction is he finally facing?

Difficulty: Easy

Correct Answer: East

Explanation:


Introduction / Context:
The goal is to track the facing after a sequence of turns from an initial heading. Only the facing matters; the distances are irrelevant.



Given Data / Assumptions:

  • Initial facing: North.
  • Sequence of turns: Left → Right → Right.
  • Standard compass: N, E, S, W in clockwise order.


Concept / Approach:
Apply successive 90° rotations relative to the current heading, not the original one. A quick sketch or a mental compass cycle helps avoid errors.



Step-by-Step Solution:

From North, Left → West.From West, Right → North.From North, Right → East.


Verification / Alternative check:
Think of left as -90° and right as +90°. Starting at North, the net rotation is (-90 + 90 + 90) = +90° → East.



Why Other Options Are Wrong:

  • North: This would be true after two turns, not after the third.
  • South or West do not match the computed rotation sequence.


Common Pitfalls:
Losing track after the second turn, or applying turns relative to the initial facing instead of the current one.



Final Answer:
East

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