Solving the Seating Arrangement Puzzle

This problem involves a classic logic puzzle where we need to determine the seating positions of six people (A, B, C, D, E, and F) based on a series of clues. They are arranged in two parallel rows of three persons each, and everyone is facing north.

Understanding the Setup

We have two rows, let's call them Row 1 and Row 2. Each row has three positions: Left, Middle, and Right, from the perspective of someone facing north.

• Row 1: [Left] [Middle] [Right]
• Row 2: [Left] [Middle] [Right]

Persons in Row 1 are opposite persons in Row 2.

Analyzing the Clues

Let's break down the information given:

1. C is sitting to the right of E.
2. B is sitting to the right of D.
3. D is sitting opposite to A.
4. F is sitting diagonally opposite to A.
5. A is at the left of E.

Step-by-Step Deduction

Let's combine the clues involving A and E first (Clues 1, 3, 4, 5).

• Clue 5 says "A is at the left of E". A and E must be in the same row.
• Clue 1 says "C is sitting to the right of E". E and C must be in the same row.

Combining these two, we get the arrangement A - E - C in one of the rows. Since there are only three positions in a row, this arrangement fills the row completely from left to right:

Row X: [A] [E] [C] (Left to Right)

Now let's use the clues involving A and D (Clue 3).

• Clue 3 says "D is sitting opposite to A". If A is in Row X, D must be in the other row (Row Y) and in the position directly opposite A. Since A is in the Left position of Row X, D must be in the Left position of Row Y.

Row Y: [D] [?] [?] (Left to Right)

Next, let's use the clue involving F and A (Clue 4).

• Clue 4 says "F is sitting diagonally opposite to A". A is in the Left position of Row X. Diagonally opposite means in the other row (Row Y) and at the opposite end. The opposite end of the Left position is the Right position. So, F must be in the Right position of Row Y.

Row Y: [D] [?] [F] (Left to Right)

Now we only have B left to place in Row Y, and only the Middle position is empty.

• The remaining person for Row Y is B. The remaining position is the Middle one. So, B must be in the Middle position of Row Y.

Row Y: [D] [B] [F] (Left to Right)

Let's verify the last remaining clue (Clue 2) with our arrangement:

• Clue 2 says "B is sitting to the right of D". In Row Y: [D] [B] [F], B is indeed to the right of D. This confirms our arrangement is correct.

Final Seating Arrangement

Based on the deductions, the arrangement is:

Determining Who is Opposite to B

The question asks, "Who is sitting opposite to B?"

Looking at the final arrangement table:

• B is in the Middle position of Row 2.
• The person in the Middle position of Row 1 is E.

Therefore, E is sitting opposite to B.

Revision Table: Key Seating Arrangement Concepts

Additional Information: Logic Puzzle Strategies

Seating arrangement problems are common in logical reasoning. Here are some strategies:

• Draw a Diagram: Visualizing the rows and positions helps in placing people.
• Note Down Clues: List each clue separately.
• Combine Clues: Look for clues that mention the same person or link different people.
• Identify Fixed Points: Some clues give exact positions or relationships (like "opposite to A"). Start building the arrangement from these.
• Use Relative Positions: Clues like "right of" or "left of" help place people within the same row.
• Consider Both Rows: Keep track of which person is in which row and who is opposite whom.
• Eliminate Possibilities: As you place people, eliminate those positions/persons from other possibilities.
• Verify the Final Arrangement: Once you have a complete arrangement, read through all the original clues again to ensure your solution satisfies every condition.

Practice with different types of arrangements (circular, linear, etc.) to improve your logical reasoning skills for seating arrangement puzzles.