Linear Arrangement — People in a Row

🎯 Learning Objective

Place people in a single row and read left/right correctly whether they face the same direction or opposite directions.

💡 Concept

• A linear arrangement is one straight row — draw a line and number the seats 1, 2, 3…
• Facing NORTH: a person's right hand points EAST, left hand points WEST — so their right = the right side of your diagram
• Facing SOUTH: everything flips — right hand points WEST, left hand points EAST
• Left and right are ALWAYS from the sitter's point of view, never yours
• 'Immediate right/left' = the touching seat; plain 'to the right' = anywhere on that side
• Start with FIXED clues (extreme ends, exact centre) before floating clues like 'A is left of B'

🧮 Key Formulas

Facing North → right = East (page-right); Facing South → right = West (page-left)

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Immediate left/right = the very next seat on that side

✏️ Easy Example

Q. Amit, Bhavna, Chetan, Divya and Esha sit in a row facing north. Chetan is exactly in the centre. Amit is at the extreme left. Bhavna is to the immediate right of Amit. Divya is at the extreme right. Who sits between Chetan and Divya?

1. Seats 1-5 left to right; Amit = 1 (extreme left)
2. Bhavna immediate right of Amit → seat 2; Chetan = seat 3 (centre)
3. Divya = seat 5 (extreme right) → Esha takes the last seat 4
4. Between Chetan (3) and Divya (5) is seat 4 = Esha

Answer: Esha

🇮🇳 Real-Life Example

Five friends squeezing onto a bench at Patna Junction — 'Ravi mere right mein, Mohan corner par'. You solve seating arrangement daily without ever calling it that.

📝 Exam-Level Example

Q. Six people — Tarun, Umesh, Sunil, Vijay, Wasim and Ravi — sit in a row facing north. Only two people sit to the right of Vijay. Sunil sits to the immediate left of Vijay. Ravi sits at an extreme end. There are two people between Ravi and Sunil. Umesh is not a neighbour of Vijay. Tarun sits at the extreme left. Who sits second to the right of Sunil?

1. Only two people to Vijay's right → Vijay = seat 4 (seats 5,6 to his right)
2. Sunil immediate left of Vijay → seat 3
3. Two people between Ravi and Sunil (3) → Ravi = seat 6, which is an extreme end (fits)
4. Tarun = seat 1; Umesh not beside Vijay (seat 5 is beside Vijay) → Umesh = seat 2, Wasim = seat 5
5. Row: Tarun, Umesh, Sunil, Vijay, Wasim, Ravi. Second to right of Sunil (3) = seat 5 = Wasim

Answer: Wasim

📝 Exam-Level Example

Q. Karan and Nisha stand facing each other. Karan is facing north. Nisha raises the hand that is on Karan's right side. Which of Nisha's hands is it — left or right?

1. Karan faces north → Karan's right side is the EAST side
2. Nisha faces Karan, so Nisha faces south
3. Facing south, Nisha's left hand points east — the east side is Nisha's LEFT
4. So the hand on Karan's right is Nisha's left hand

Answer: Nisha's left hand

🪄 Memory Trick

Underline every fixed clue first, turn pair clues into blocks like [Sunil-Vijay], then slide the block into the empty seats — usually only one fit survives.

⚠️ Common Mistakes

• ❌ Reading left/right from your own side instead of the sitter's side
• ❌ Forgetting to flip left/right for a south-facing person
• ❌ Treating plain 'to the left' as 'immediate left'

🏆 Exam Tips

• ✅ Draw dashes with seat numbers BEFORE you touch the clues
• ✅ Write a tiny N or S arrow above the row so the facing direction is never forgotten

📌 Summary

• One row → draw a line, number the seats
• Facing north: right = East; facing south: right = West
• Left/right always from the sitter's view
• Fixed clues first, floating clues later