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?
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AWest
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BSouth
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CNorth
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DEast
Answer
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