Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of 'Passing the Buck'.

The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:

• Immediately to the left;

• Immediate to the right;

• Second to the left; or

• Second to the right.

The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as '?'.

Round	Pass Type	Received by
1	Immediately to the left	Aarav
2	Second to the right	?
3	Immediately to the right	Diya
4	?	?
5	?	Aarav
6	Second to the left	?
7	Immediately to the left	Gaurav
8	Immediately to the left	?
9	?	Farhan
10	?	Chirag

Who is sitting immediately to the right of Bina?

The correct option is Eshan.

To solve this, let us assign numbered positions to the 7 children around the circle. Let us number the positions from 1 to 7 in a clockwise direction. Since all the children are facing inside the circle:

• Moving to the left corresponds to moving clockwise (e.g., from position 1 to position 2).

• Moving to the right corresponds to moving anti-clockwise (e.g., from position 2 to position 1).

Let's map out the seating arrangement based on the given passing sequence. We can start by placing the first person, Bina, at position 1.

Round 1: Bina (at position 1) passes the Buck to Aarav, who is "Immediately to the left". One position clockwise from 1 is 2. Therefore, Aarav is at position 2.

Round 2: Aarav (at position 2) passes the Buck to the child "Second to the right". Two positions anti-clockwise from 2 is position 7 (moving 2 → 1 → 7). Therefore, the child at position 7 receives the Buck.

Round 3: The child at position 7 passes the Buck to Diya, who is "Immediately to the right". One position anti-clockwise from 7 is 6. Therefore, Diya is at position 6.

Round 6: According to the table, Aarav (at position 2) passes the Buck to the child "Second to the left". Two positions clockwise from 2 is 4. Therefore, the child at position 4 receives the Buck in Round 6.

Round 7: The child at position 4 passes the Buck to Gaurav, who is "Immediately to the left". One position clockwise from 4 is 5. Therefore, Gaurav is at position 5.

Round 8: Gaurav (at position 5) passes the Buck to the child "Immediately to the left". One position clockwise from 5 is 6. As we found earlier, Diya is at position 6. So, Diya receives the Buck here.

Round 9: Diya (at position 6) passes the Buck to Farhan. The rules state a pass can only go to the immediate or second left/right. The possible receiving positions from position 6 are 7, 5, 1, or 4.
• Position 5 is occupied by Gaurav.
• Position 1 is occupied by Bina.
• Thus, Farhan must be at either position 4 or position 7.

Round 10: Farhan passes the Buck to Chirag.
Let us check the possibilities for Farhan's position:
• If Farhan were at position 7, the reachable positions for his pass would be 1, 6, 2, and 5. But these are already occupied by Bina, Diya, Aarav, and Gaurav, respectively. Hence, Farhan cannot be at position 7.
• Therefore, Farhan must be at position 4. (This means in Round 9, Diya passed it "Second to the right").

Now, from Farhan at position 4, he passes to Chirag. The valid positions he can pass to are 5, 3, 6, and 2. Among these, positions 5, 6, and 2 are occupied. The only empty reachable seat is 3. Therefore, Chirag must be at position 3.

We have now found the positions of 6 children: Bina(1), Aarav(2), Chirag(3), Farhan(4), Gaurav(5), and Diya(6).
The only child remaining is Eshan, and the only position left is position 7.

The question asks: Who is sitting immediately to the right of Bina?

Bina is sitting at position 1. "Immediately to the right" means one position anti-clockwise. One position anti-clockwise from 1 is position 7.

The person sitting at position 7 is Eshan.