Solving the Circular Seating Arrangement Puzzle

This question involves a circular seating arrangement puzzle with eight friends: Jay, King, Lisa, Mon, Nia, Ori, Piu, and Ria. They are sitting around a circular table facing the centre. We need to use the given clues to determine their exact positions and then find who is sitting to the immediate right of King.

Let's break down the clues and build the arrangement step-by-step:

1. Clue 1: Jay is sitting second to the right of Piu.
   If we imagine Piu in a seat, move one seat to the right, then another seat to the right, that's where Jay is.
2. Clue 2: Piu is sitting third to the right of King.
   Starting from King, count three seats to the right. That position is occupied by Piu. This connects King, Piu, and Jay in a sequence: King → (1R) → (2R) → Piu → (1R) → Jay. This involves 6 relative positions.
3. Clue 4: Ori sits between Piu and Jay.
   Given the relative positions from Clues 1 & 2 (Piu → _ → Jay), the person in the seat directly between them in the sequence must be Ori. So the sequence is Piu → Ori → Jay.

Combining these, we get a partial arrangement sequence around the table (clockwise assumed for 'right'):
King → (pos 2) → (pos 3) → Piu → Ori → Jay → (pos 7) → (pos 8)

This accounts for 8 distinct positions around the circular table.

4. Clue 3: Mon is sitting second to the left of Ori.
   Left is the counter-clockwise direction. Starting from Ori (at position 5 in our sequence), the first position to the left (counter-clockwise) is Piu (at position 4). The second position to the left of Ori is the position before Piu, which is position 3 in our sequence.
   So, Mon is at position 3.

Let's update the arrangement:

• Position 1: King
• Position 2: ?
• Position 3: Mon
• Position 4: Piu
• Position 5: Ori
• Position 6: Jay
• Position 7: ?
• Position 8: ?

So far, we have placed 5 friends: King, Mon, Piu, Ori, and Jay. There are 8 friends in total (Jay, King, Lisa, Mon, Nia, Ori, Piu, and Ria). The remaining friends are Lisa, Nia, and Ria (3 friends). The remaining positions are Position 2, Position 7, and Position 8 (3 positions). This matches up.

The remaining people (Lisa, Nia, Ria) must occupy the remaining positions (Position 2, Position 7, Position 8).

5. Clue 5: Lisa is not a neighbour of King or Nia.
   
   • King is at Position 1. The neighbours of King in an 8-person circle are the persons at Position 8 and Position 2.
   • Since Lisa is not a neighbour of King, Lisa cannot be at Position 8 and Lisa cannot be at Position 2.
   • The only remaining position for Lisa is Position 7. So, Lisa is at Position 7.

Now our arrangement is:

• Position 1: King
• Position 2: ?
• Position 3: Mon
• Position 4: Piu
• Position 5: Ori
• Position 6: Jay
• Position 7: Lisa
• Position 8: ?

We have placed King, Mon, Piu, Ori, Jay, and Lisa (6 friends). The remaining friends are Nia and Ria (2 friends). The remaining positions are Position 2 and Position 8 (2 positions).

Nia and Ria must fill Position 2 and Position 8. Let's use the rest of Clue 5: "Lisa is not a neighbour of ... Nia".

• Lisa is at Position 7. The neighbours of Lisa are the persons at Position 6 (Jay) and Position 8.
• Since Lisa is not a neighbour of Nia, Nia cannot be at Position 8 (because Position 8 is a neighbour of Lisa).
• If Nia cannot be at Position 8, then Nia must be in the only other remaining position, which is Position 2. So, Nia is at Position 2.

The last remaining friend is Ria, and the last remaining position is Position 8. So, Ria is at Position 8.

The final arrangement, starting from King and going clockwise, is:

Let's verify the arrangement against all clues one last time:

• Jay (Pos 6) is second to the right of Piu (Pos 4). (Piu → Ori → Jay). Correct.
• Piu (Pos 4) is third to the right of King (Pos 1). (King → Nia → Mon → Piu). Correct.
• Mon (Pos 3) is second to the left of Ori (Pos 5). (Ori → Piu → Mon). Correct.
• Ori (Pos 5) sits between Piu (Pos 4) and Jay (Pos 6). Correct.
• Lisa (Pos 7) is not a neighbour of King (Pos 1) or Nia (Pos 2). Neighbours of King are Ria (Pos 8) and Nia (Pos 2). Lisa is not Nia or Ria. Correct. Neighbours of Nia are King (Pos 1) and Mon (Pos 3). Lisa is not King or Mon. Correct.

The arrangement is consistent with all clues.

The question asks: Who is sitting to the immediate right of King?

According to our final arrangement, King is at Position 1, and the person immediately to his right (Position 2) is Nia.

Revision Table: Key Clues Recap

Additional Information: Circular Arrangement Logic

Circular seating arrangement problems require careful tracking of relative positions (left/right) which wrap around the table. 'Facing the centre' is a standard assumption unless stated otherwise, simplifying the left/right perspective.

• 'Immediate right' means the very next person in the clockwise direction.
• 'Immediate left' means the very next person in the counter-clockwise direction.
• 'Second to the right' means skipping one person and taking the next in the rightward direction.
• 'Between' typically refers to the persons occupying the seats directly adjacent to the two specified individuals along the perimeter.
• Always account for all individuals and seats to ensure the final arrangement is complete and consistent.