Who is sitting third to the left of Eshan?
Answer: B
Number the seats around the circle so that 'immediately to the left' of a seat is +1 and 'immediately to the right' is −1 (mod 7). Put Bina at seat 0.
Round 1 (left 1): Aarav = 1. Round 2 (right 2): receiver at seat 6. Round 3 (right 1): Diya = 5. Round 5 receiver is Aarav (1); Round 6 (left 2): seat 3; Round 7 (left 1): Gaurav = 4; Round 8 (left 1): seat 5 = Diya.
Chirag, Eshan, Farhan occupy seats 2, 3, 6. Round 9 goes from Diya (5) to Farhan, so Farhan is within two seats of 5: seat 3 or 6. Round 10 goes from Farhan to Chirag. If Farhan = 6, Chirag would need seat 4, 5, 0 or 1, none free. So Farhan = 3, Chirag = 2, Eshan = 6.
Seating (going leftwards from Bina): Bina(0), Aarav(1), Chirag(2), Farhan(3), Gaurav(4), Diya(5), Eshan(6).
Round 4 receiver must be within two seats of Diya (5) and of Aarav (1): seat 0, 3 or 6 (Bina, Farhan or Eshan).
| Round | Pass | Receiver |
|---|---|---|
| 1 | Left 1 | Aarav |
| 2 | Right 2 | Eshan |
| 3 | Right 1 | Diya |
| 4 | Left 2 / Right 2 / Left 1 | Bina / Farhan / Eshan |
| 5 | Left 1 / Right 2 / Left 2 | Aarav |
| 6 | Left 2 | Farhan |
| 7 | Left 1 | Gaurav |
| 8 | Left 1 | Diya |
| 9 | Right 2 | Farhan |
| 10 | Right 1 | Chirag |
Eshan is at seat 6; third to his left is seat 6 + 3 = 9 ≡ 2, which is Chirag.
Hence, the answer is (B) Chirag.