Circular Arrangement — Around a Table

🎯 Learning Objective

Master direction logic on a circle: facing the centre makes right anti-clockwise, facing outside reverses everything.

💡 Concept

• Facing the CENTRE: right hand points anti-clockwise, left hand points clockwise
• Facing OUTSIDE: the exact reverse — right = clockwise, left = anti-clockwise
• 'Second to the right of X' = move 2 seats in X's right direction, counting seat by seat
• With N people, 'exactly opposite' means N/2 seats away (only possible when N is even)
• A circle has no fixed start — anchor one person anywhere and build the rest around them
• Immediate neighbours are the two seats touching a person, one on each side

🧮 Key Formulas

Facing centre: RIGHT = anti-clockwise, LEFT = clockwise

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Facing outside: RIGHT = clockwise, LEFT = anti-clockwise

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Exactly opposite (N people) = N/2 seats away

✏️ Easy Example

Q. Four friends — Neha, Om, Pooja and Raj — sit around a square table, one on each side, all facing the centre. Neha is to the immediate left of Om. Pooja sits exactly opposite Om. Where does Raj sit relative to Om?

1. Facing centre → left = clockwise, right = anti-clockwise
2. Place Om; Neha is immediate left (clockwise) of Om; Pooja is opposite Om
3. Only one seat is left for Raj — the one on Om's other side
4. That seat is Om's immediate right (anti-clockwise) → Raj is to the immediate right of Om

Answer: Raj is to the immediate right of Om

🇮🇳 Real-Life Example

A round table at a shaadi function — dadi's left neighbour changes the moment she turns her chair to face outward. On a circle, facing direction decides everything.

📝 Exam-Level Example

Q. Six people — A, B, C, D, E and F — sit around a circular table, all facing the centre. F sits to the immediate right of A. B sits to the immediate left of A. A sits exactly opposite D. C sits to the immediate right of D. E sits to the immediate left of D. Who sits third to the right of B?

1. Anchor A; facing centre → right = anti-clockwise, left = clockwise
2. B immediate left of A; F immediate right of A; D exactly opposite A (3 seats away)
3. C immediate right of D; E immediate left of D → order clockwise is A, B, C, D, E, F
4. Third to the right (anti-clockwise) of B: A, then F, then E → E

Answer: E

📝 Exam-Level Example

Q. Five friends sit around a circular table, all facing OUTSIDE (away from the centre). Reena sits to the immediate left of Suman, and Tina sits to the immediate right of Suman. Which of the two — Reena or Tina — sits in the clockwise direction from Suman?

1. Facing outside → left = anti-clockwise, right = clockwise
2. Reena is immediate LEFT of Suman → anti-clockwise from Suman
3. Tina is immediate RIGHT of Suman → clockwise from Suman
4. So Tina is in the clockwise direction

Answer: Tina

🪄 Memory Trick

One line runs the whole chapter: 'Andar dekho to RIGHT anti-clockwise, bahar dekho to RIGHT clockwise.' Write it at the top of your rough sheet before clue 1.

⚠️ Common Mistakes

• ❌ Applying the facing-centre rule to people who face outside
• ❌ Counting the starting person while moving seats (start counting from the NEXT seat)
• ❌ Assuming everyone faces the centre when the question says otherwise

🏆 Exam Tips

• ✅ Draw the circle as 5-6 dots and mark the facing direction before reading clue 2
• ✅ Check the finished circle against EVERY clue once — circles hide mistakes easily

📌 Summary

• Facing centre: right = anti-clockwise, left = clockwise
• Facing outside: right = clockwise, left = anti-clockwise
• Anchor one person, build the rest around
• Opposite = N/2 seats away; recheck all clues at the end