Step 1: Set up the circle.
Six analysts sit around a round table facing the centre. Number the seats 1 to 6 clockwise and anchor Arjun at seat 1 to give every clue a fixed reference.
Step 2: Place the Finance seat.
Clue 1 says the Finance analyst sits third to the left of Arjun, which lands on the seat directly opposite Arjun. So Finance belongs to whoever sits across from Arjun, and clue 7 confirms Arjun is not in Finance.
Step 3: Use the Devika-Bhavesh block.
Clue 5 fixes Devika in Operations, and clue 2 makes Bhavesh sit between Devika and the Strategy analyst, so Bhavesh is wedged next to Devika and cannot himself be the Strategy person.
Step 4: Apply the neighbour and identity bans.
Clue 3 keeps Eshan off Arjun's two neighbouring seats, clue 8 stops Farah from being the Strategy analyst, and clue 6 ties Farah's position to the Analytics analyst. These force Farah into the seat opposite Arjun.
Step 5: Match the domains to the seats.
With Devika in Operations and Bhavesh, Eshan, Charu absorbing Marketing, HR and Strategy under clues 2 and 4, the only person left for the opposite Finance seat is Farah.
Step 6: Conclude.
Farah occupies the seat third to Arjun's left, which is the Finance seat, so Farah is the Finance analyst, matching option 4.
\[ \boxed{\text{Farah}} \]