The puzzle
Farhan, Isha, Gauri, Arjun sit in a single row, all facing north. Seat 1 is the far-left end and seat 4 is the far-right end. Using the clues below, work out the order from left to right.
- Gauri sits somewhere to the left of Arjun.
- Exactly 1 person sits between Farhan and Isha.
- Isha sits at the far-right (extreme) end of the row.
Question: What is the seating order from far-left to far-right?
Reveal the answer
Answer: Gauri, Farhan, Arjun, Isha (left to right).
Seat 1GauriSeat 2FarhanSeat 3ArjunSeat 4Isha
- Start: 24 possible left-to-right orders of 4 people.
- Clue 1 — "Gauri sits somewhere to the left of Arjun." leaves 12 possibilities.
- Clue 2 — "Exactly 1 person sits between Farhan and Isha." leaves 4 possibilities.
- Clue 3 — "Isha sits at the far-right (extreme) end of the row." leaves 1 possibility.
- Exactly one order survives every clue — that is the answer.