Building Floor Logic Puzzle Solution

This solution identifies the person living on floor 5 by logically deducing the positions of six individuals (A, G, H, P, S, Y) across six building floors (numbered 1 to 6).

Analyzing the Clues

• Floor Constraints: Six people live on floors 1 through 6.
• Clue: Y and H Relationship: Three people live between Y and H. Y is below H. This implies a gap of 3 floors: Y _ _ _ H.
• Clue: G and Y Relationship: G lives on an odd-numbered floor and is immediately above Y. (G = Y + 1). Also, G's floor must be odd (1, 3, or 5).
• Deduction 1 (G's Position):
  • If G were on floor 1, Y would be on floor 0 (impossible).
  • If G were on floor 5, Y would be on floor 4. Then Y _ _ _ H implies floors 4, 5, 6, 7 (H on 7, impossible).
  • Therefore, G must be on floor 3. This places Y on floor 2 (G = Y + 1).
• Deduction 2 (H's Position): With Y on floor 2 and G on floor 3, the sequence Y _ _ _ H means floors 2, 3, 4, 5, 6. H must be on floor 6.
• Partial Arrangement:
  • Floor 6: H
  • Floor 5: ?
  • Floor 4: ?
  • Floor 3: G
  • Floor 2: Y
  • Floor 1: ?
• Clue: S, A, and P Relationship: S lives below A and above P. This means P is on the lowest floor among the three, followed by S, then A (P < S < A in terms of floor number).
• Deduction 3 (Remaining Positions): The remaining floors are 1, 4, and 5. The remaining people are P, S, and A. To fit the P < S < A order:
  • P must be on floor 1.
  • S must be on floor 4.
  • A must be on floor 5.

Final Floor Arrangement

Conclusion

From the final arrangement, A lives on floor number 5.