Solving the Square Table Seating Arrangement Puzzle

This problem involves arranging eight people around a square table, with some sitting at corners and some at the middle of the sides, all facing the center. We need to use the given clues to determine the exact position of each person and then answer the question asked.

There are 8 positions in total: 4 at the corners and 4 at the middle of the sides.

Analyzing the Clues

• A sits third to the right of C.
• H sits between B and G.
• F sits second to the right of C.
• D does not sit in a corner (implies D sits at the exact centre of a side).
• G sits third to the right of D.
• Three people sit between D and C.

Step-by-Step Deduction

1. Clue 6 & 4: "Three people sit between D and C" and "D does not sit in a corner". In an arrangement of 8 people around a table, if three people sit between two people, they are directly opposite each other. Since D is not in a corner, D must be at the middle of a side. As D and C are opposite, C must also be at the middle of a side. Let's assume C sits at the top middle of the table. Then D sits at the bottom middle.
2. Clue 1 & 3: "A sits third to the right of C" and "F sits second to the right of C". Assuming 'right' is clockwise when facing the center. Starting from C (Top Middle), the positions are (clockwise): Top Right Corner, Right Middle Side, Bottom Right Corner, Bottom Middle Side (D), Bottom Left Corner, Left Middle Side, Top Left Corner, Top Middle Side (C).
   • Second to the right of C (Top Middle) is the Right Middle Side. So, F sits at the Right Middle Side.
   • Third to the right of C (Top Middle) is the Bottom Right Corner. So, A sits at the Bottom Right Corner.
3. Clue 5: "G sits third to the right of D". D is at the Bottom Middle Side. Starting from D (Bottom Middle Side) and moving clockwise: Bottom Left Corner, Left Middle Side, Top Left Corner. So, G sits at the Top Left Corner.
4. Current Arrangement Summary:
   • Middle Sides: C (Top), D (Bottom), F (Right)
   • Corners: A (Bottom Right), G (Top Left)
   Remaining people: B, E, H. Remaining positions: Left Middle Side, Top Right Corner, Bottom Left Corner.
5. Clue 2: "H sits between B and G". This means B and G are the immediate neighbors of H. G is at the Top Left Corner. The positions adjacent to G are the Top Middle Side (occupied by C) and the Left Middle Side. Since C is occupied, H must be at the Left Middle Side. The positions adjacent to H (at Left Middle Side) are the Top Left Corner (occupied by G) and the Bottom Left Corner. For H to be between B and G, B must be at the Bottom Left Corner.
6. Final Placement:
   • Middle Sides: C (Top), D (Bottom), F (Right), H (Left)
   • Corners: A (Bottom Right), G (Top Left), B (Bottom Left)
   The last remaining person is E, and the last remaining position is the Top Right Corner. So, E sits at the Top Right Corner.

Final Seating Arrangement

Let's list the people in clockwise order starting from C (Top Middle):

C (Top Middle), E (Top Right Corner), F (Right Middle Side), A (Bottom Right Corner), D (Bottom Middle Side), B (Bottom Left Corner), H (Left Middle Side), G (Top Left Corner).

Answering the Question: Who sits second to the left of B?

B is sitting at the Bottom Left Corner. 'Left' means moving in the anticlockwise direction around the table from B's perspective.

• 1st position to the left of B is the person immediately anticlockwise to B. Looking at the arrangement, this is D (Bottom Middle Side).
• 2nd position to the left of B is the person two steps anticlockwise from B. This is the person immediately anticlockwise to D. Looking at the arrangement, this is A (Bottom Right Corner).

Therefore, A sits second to the left of B.

Revision Table: Key Placements

Additional Information: Seating Arrangement Tips

Seating arrangement puzzles require careful reading and systematic deduction. Here are some tips:

• Visualize or Draw: Always draw the table shape (square, circle, etc.) and the positions (corner, side).
• Represent People: Use letters or initials for people.
• Fixed Points First: Start with clues that give definite positions or relationships (like D not in a corner, or D and C being opposite).
• Relative Positions: Understand terms like 'right', 'left', 'immediate right/left', 'second to the right/left', 'between', 'opposite'. Assume 'right' is clockwise and 'left' is anticlockwise unless specified otherwise.
• 'Between': 'H sits between B and G' usually means H is an immediate neighbor to both B and G, i.e., the sequence is B-H-G or G-H-B.
• Opposite: In an N-person arrangement, if two people are opposite, there are (N/2 - 1) people between them on each side. For 8 people, (8/2 - 1) = 3 people.
• Iterate: Sometimes, you might need to make assumptions and check if they fit all clues. If not, backtrack and try another possibility (e.g., assuming a different starting position or direction).