Understanding the Square Table Seating Puzzle

This question asks us to determine the seating arrangement of eight people (L, M, N, O, P, Q, R, S) around a square table. A key piece of information is that they are not facing the centre. This means their 'right' and 'left' are determined by facing outwards. When facing outwards, moving to the immediate right is equivalent to moving clockwise around the table, and moving to the immediate left is equivalent to moving counter-clockwise.

There are 8 positions: 4 at the corners and 4 at the exact centre of the sides. Since there are 8 people, each position is occupied by one person.

Deducing the Seating Arrangement

Let's break down the clues given and build the arrangement step by step. We will assume a starting point and deduce the positions relative to each other, moving in a clockwise direction.

1. "L is sitting to the immediate right of P."

   If we move clockwise from P, the next person is L. Sequence: P → L (clockwise).

2. "O is sitting to the immediate right of L."

   Moving clockwise from L, the next person is O. Sequence: L → O (clockwise). Combining with the previous clue: P → L → O (clockwise).

3. "O is sitting between L and S."

   We already have L → O (clockwise). If O is between L and S, then S must be immediately after O in the clockwise direction. Sequence: L → O → S (clockwise).

4. "S is sitting to the immediate left of R."

   Since they face outwards, 'left' is counter-clockwise. So, moving counter-clockwise from R leads to S. This means moving clockwise from S leads to R. Sequence: S → R (clockwise). Combining with our current sequence: P → L → O → S → R (clockwise).

5. "M is sitting between Q and R."

   This implies the sequence Q → M → R or R → M → Q (clockwise). Since we have R at the end of our current clockwise sequence, the arrangement Q → M → R fits perfectly. Sequence: P → L → O → S → R → M → Q (clockwise).

6. "N is sitting to the immediate right of Q and immediate left of P."

   Right of Q is N means Q → N (clockwise). Left of P is N means moving counter-clockwise from P leads to N, which is equivalent to moving clockwise from N leading to P (N → P clockwise). Combining this with our sequence, we have Q → N immediately followed by N → P. This completes the circle: P → L → O → S → R → M → Q → N → P (clockwise).

The complete clockwise seating arrangement is: P, L, O, S, R, M, Q, N.

We can visualize this arrangement:

Or represented linearly (connecting the ends): P - L - O - S - R - M - Q - N - P

We can represent the clockwise sequence using LaTeX: \(P \to L \to O \to S \to R \to M \to Q \to N \to P\).

Answering the Question: Who is Second Left from N?

The question asks for the person sitting second left from N. 'Left' corresponds to moving counter-clockwise from N.

Starting from N and moving counter-clockwise:

• The person immediately left of N (1st left) is Q.
• The person second left from N (2nd left) is M.

Therefore, M is sitting second left from N.

Revision Table: Key Clues and Deductions

Additional Information: Understanding Seating Arrangement Logic

Seating arrangement puzzles test your ability to follow instructions and use logical deduction to determine positions based on relative clues. Key aspects to consider are:

• Shape of the Table: Square, circle, rectangle, etc., defines the total number of seats and their layout (corners, sides).
• Facing Direction: Whether people face towards the centre, away from the centre, or in a specific direction. This determines how 'left' and 'right' are interpreted. If facing inwards, right is clockwise and left is counter-clockwise. If facing outwards, right is counter-clockwise and left is clockwise. In this specific puzzle, the people face outwards, so right is clockwise and left is counter-clockwise relative to movement around the table.
• Relative Positions: Clues like 'immediate right', 'immediate left', 'second to the left', 'between', 'opposite', etc., help link individuals.
• Absolute Positions: Sometimes a clue might fix one person's position (e.g., "P sits at a corner"). This helps anchor the arrangement. In this puzzle, no absolute position was given, so we deduced the relative order first.

By carefully placing individuals based on one clue at a time and connecting the sequences, the complete seating plan can be revealed. Always double-check if the final arrangement satisfies all the given conditions.