Direction sense — facing of C in a circular seating Five boys A, B, C, D, E sit on a circle. A faces South-West; D faces South-East. B and E are diametrically opposite A and D respectively. C is midway between D and B on the circle. Which direction is C facing?

Difficulty: Hard

Correct Answer: East

Explanation:


Introduction / Context:
This blends absolute compass facings with relative positions on a circle. Standard assumption: all face the center.



Given Data / Assumptions:

  • A faces SW ⇒ A sits at the NE point (facing center).
  • D faces SE ⇒ D sits at the NW point.
  • B opposite A ⇒ B sits at SW; E opposite D ⇒ E sits at SE.
  • C is midway on the arc between D (NW) and B (SW), so C sits at due West.


Concept / Approach:
For a person facing the center, facing direction is toward the center from their seat position. A seat at West faces East.



Step-by-Step Solution:
1) Place A (NE), D (NW), B (SW), E (SE).2) Midpoint of arc NW→SW is West (C's seat).3) Facing center from West yields an Eastward facing.



Verification / Alternative check:
Draw a circle with cardinal and intercardinal points; the midpoint seat at West necessarily faces East.



Why Other Options Are Wrong:
North/South/West contradict the seat-to-center orientation at the West point.



Common Pitfalls:
Confusing seat location with facing, or assuming people face outwards (non-standard).



Final Answer:
East

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