Row Seating Reasoning Puzzle for IBPS PO — Farhan, Nikhil, Isha, Imran, Gauri, Rahul
The puzzle
Farhan, Nikhil, Isha, Imran, Gauri, Rahul — sit in a single row, all facing north — seat 1 is the far-left end and seat 6 is the far-right end. Using the clues below, work out the arrangement.
- Nikhil and Rahul do NOT sit next to each other.
- Isha and Gauri do NOT sit next to each other.
- Farhan and Isha do NOT sit next to each other.
- Isha and Imran do NOT sit next to each other.
- Farhan does NOT sit at either extreme end of the row.
- Farhan and Rahul do NOT sit next to each other.
- Gauri does NOT sit at either extreme end of the row.
- Farhan and Nikhil do NOT sit next to each other.
- Nikhil and Gauri do NOT sit next to each other.
- Nikhil and Imran do NOT sit next to each other.
- Isha sits somewhere to the left of Gauri.
Question: Determine the arrangement.
Reveal the answer
Answer: Nikhil, Isha, Rahul, Gauri, Farhan, Imran (left to right).
- Start: 720 possible left-to-right orders of 6 people.
- Clue 1 — "Nikhil and Rahul do NOT sit next to each other." leaves 480 possibilities.
- Clue 2 — "Isha and Gauri do NOT sit next to each other." leaves 336 possibilities.
- Clue 3 — "Farhan and Isha do NOT sit next to each other." leaves 216 possibilities.
- Clue 4 — "Isha and Imran do NOT sit next to each other." leaves 120 possibilities.
- Clue 5 — "Farhan does NOT sit at either extreme end of the row." leaves 80 possibilities.
- Clue 6 — "Farhan and Rahul do NOT sit next to each other." leaves 44 possibilities.
- Clue 7 — "Gauri does NOT sit at either extreme end of the row." leaves 28 possibilities.
- Clue 8 — "Farhan and Nikhil do NOT sit next to each other." leaves 12 possibilities.
- Clue 9 — "Nikhil and Gauri do NOT sit next to each other." leaves 6 possibilities.
- Clue 10 — "Nikhil and Imran do NOT sit next to each other." leaves 2 possibilities.
- Clue 11 — "Isha sits somewhere to the left of Gauri." leaves 1 possibility. The surviving order is Nikhil, Isha, Rahul, Gauri, Farhan, Imran (left to right).
- Exactly one order survives every clue: Nikhil, Isha, Rahul, Gauri, Farhan, Imran (left to right).
How to crack row seating puzzles faster
- Lock the ends first — any "far-left / far-right" clue fixes a seat instantly.
- Convert "immediately to the left/right" into adjacent pairs and slide them along.
- "Exactly k people between" gives a fixed gap — try it at each valid position.
- Eliminate, don't guess: each clue should cut the possibilities until one order remains.
FAQ
Who sits in the middle (seat 3) in this seating arrangement?
Rahul sits in seat 3. The full order: Nikhil, Isha, Rahul, Gauri, Farhan, Imran (left to right).
How do you solve linear seating arrangement puzzles for bank exams?
Fix direct positions first (far-left / far-right ends), then apply relative clues (left of, immediately left, exactly k between). Eliminate impossible orders until a single arrangement satisfies every clue.
Learn the method for this puzzle type
This post is one worked example. The topic page for linear seating arrangement carries the full method, the clue-wording table, the mistakes that cost marks and more practice questions.
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