Arrangement Analysis: Seating Puzzle

This solution details the step-by-step deduction for a seating arrangement puzzle involving seven individuals: A, B, C, D, E, F, and G, all seated in a row facing north. We need to determine who sits exactly between F and B.

Step 1: Initial Placements Based on Clues

• There are 7 positions in the row. Let's represent them as: _ _ _ _ _ _ _
• Clue: "F sits on the extreme left end of the row."
  • This places F at position 1: F _ _ _ _ _ _
• Clue: "There are three persons between F and B."
  • With F at position 1, there are three people at positions 2, 3, and 4. B must be at position 5 (1 + 1 + 3 = 5).
  • Arrangement becomes: F _ _ _ B _ _

Step 2: Placing E in the Middle

• Clue: "E has equal number of persons to his left and right side."
  • For 7 people, the middle position is the 4th position (3 people to the left, 3 to the right).
  • So, E sits at position 4.
  • Arrangement update: F _ _ E B _ _

Step 3: Placing C and A

• Clue: "A sits immediate right of C."
  • This means C and A are together as a pair: CA.
• Clue: "A does not sit at the corner."
  • The corners are positions 1 and 7. F is already at position 1. Thus, A cannot be at position 7.
  • The available empty slots are 2, 3, 6, and 7.
  • The pair CA needs two adjacent empty slots. Possible slots are (2, 3) or (6, 7).
  • Since A cannot be at position 7, the pair CA cannot be in slots (6, 7).
  • Therefore, the pair CA must be in slots 2 and 3. C is at 2, and A is at 3.
  • Arrangement update: F C A E B _ _

Step 4: Placing G and D

• The remaining people are G and D. The remaining slots are 6 and 7.
• Clue: "G sits second from one of the ends."
  • Second from the left end is position 2. This is occupied by C.
  • Second from the right end is position 6. This slot is available.
  • So, G sits at position 6.
  • Arrangement update: F C A E B G _
• The only person left is D, and the only slot left is position 7.
• The final seating arrangement is: F C A E B G D

Final Seating Arrangement

The complete seating arrangement from left to right (positions 1 to 7) is:

Identifying the Person Exactly Between F and B

The question asks to identify the person sitting exactly between F and B.

• F is at position 1.
• B is at position 5.
• The positions between F and B are 2, 3, and 4.
• The people sitting in these positions are C (at 2), A (at 3), and E (at 4).
• The person sitting exactly in the middle of the group (C, A, E) is the one in the middle position, which is position 3.
• The person at position 3 is A.

Therefore, A is sitting exactly between F and B.