Floor Deduction Logic Puzzle Solution
The problem requires us to determine the floor on which person E lives, given a set of conditions about seven people (A, B, C, D, E, F, G) living on seven different floors (numbered 1 to 7).
1. Initial Placements
We start by placing the person whose floor is explicitly given:
- B lives on Floor 3.
2. Determining D's Floor
We use the clue: "Only two persons live between B and D."
- B is on Floor 3.
- To find D's floor, we add 2 floors and 1 position: \(D_{floor} = B_{floor} + 2 + 1 = 3 + 2 + 1 = 6\).
- Therefore, D lives on Floor 6.
3. Determining A's Floor
We use the clue: "Only one person live between D and A."
- D is on Floor 6.
- To find A's floor, we subtract 1 floor and 1 position: \(A_{floor} = D_{floor} - 1 - 1 = 6 - 1 - 1 = 4\).
- Therefore, A lives on Floor 4.
Current Occupancy:
- Floor 3: B
- Floor 4: A
- Floor 6: D
Remaining Floors: 1, 2, 5, 7. People remaining: C, E, F, G.
4. Placing the E-G Pair
We use the clue: "G lives immediately below E."
This means E and G occupy adjacent floors (\(E_{floor} = G_{floor} + 1\)). We check possible placements on the remaining floors (1, 2, 5, 7):
- If E is on Floor 7, G would be on Floor 6 (occupied by D). Impossible.
- If E is on Floor 5, G would be on Floor 4 (occupied by A). Impossible.
- If E is on Floor 2, G would be on Floor 1. This is possible.
Therefore, E lives on Floor 2 and G lives on Floor 1.
5. Placing F and C
We use the clues: "Only one person lives between F and C" and "C does not live on the topmost floor (Floor 7)."
- Occupied floors: G(1), E(2), B(3), A(4), D(6).
- Remaining floors: 5 and 7. People remaining: C and F.
- Floor 6 (occupied by D) lies between floors 5 and 7. This satisfies the condition of one person between F and C.
- Case 1: C on Floor 5, F on Floor 7. This satisfies "one person between F and C". Also, C is not on Floor 7. This arrangement is valid.
- Case 2: C on Floor 7, F on Floor 5. This violates the condition "C does not live on the topmost floor".
Thus, C lives on Floor 5 and F lives on Floor 7.
6. Final Floor Arrangement
The complete arrangement of people on the floors is:
| Floor | Person |
|---|---|
| 7 | F |
| 6 | D |
| 5 | C |
| 4 | A |
| 3 | B |
| 2 | E |
| 1 | G |
7. Conclusion
Based on the deductions, E lives on Floor 2.
Similar Questions
E, F, G, H, L and M live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 6. Only three people live above G. Only two people live between L and E. Only two people live between M and G. E lives below G but above F. How many people live below H?
- A, G, H, P, S and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only three people live between Y and H, where Y lives below H. G lives on an odd-numbered floor and immediately above Y. S lives on one of the floors below A and on one of the floors above P. Who lives on floor numbered 5?
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- A, B, C, D, E, F and G live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 7. Only two persons live above C. Only two persons live between C and E. B lives immediately above E. D lives immediately below F. A does not live on the lowermost floor. On which floor number does A live?
- S, T, U, V, W, X and Y live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 7. U lives on the fourth floor. Only two persons live between U and V. T lives immediately below V. W lives immediately above X but X does not live on the lowermost floor. S does not live on the lowermost floor. On which floor number does S live?
- A, B, D, U, P and K live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. U lives on an odd-numbered floor but not on the lowermost floor. Only one person lives between U and P. D does not live on the lowermost floor. K lives immediately above D. B lives immediately above U. A lives immediately below U. Who lives on Floor 2?
Important Questions from Floor Puzzle
Seven employees, T, U, V, W, X, Y, and Z, reach their factory in a particular sequence. Y reaches immediately before T but does not immediately follow W. V is the last one to reach. X immediately follows T and is subsequently followed by Z. W reaches before T. Who is the second to reach the factory?
Pankaj, Alpesh, Srikumar, Dinesh, Neeraj and Maninder are sitting in six different rows with one person in each row, exactly one after another. Pankaj is just before Alpesh. Dinesh is sitting in the last row. There are four persons before Alpesh. Srikumar is just after Neeraj. Maninder is not in the first row. Who is sitting just after Maninder?
Seven boxes, A, B, C, D, E, F, and G, are kept one over the other but not necessarily in the same order. Only C is kept above D. Only two boxes are kept between D and F. Only G is kept below A. B is not kept immediately above F. Which box is kept fourth from the top?
A, B, C, M, N, and S live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only C lives above B. N lives immediately below B. Only A lives below M. Who lives on floor number 3?
G, H, J, K, L and P live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only three people live between P and J, whereas P lives below J. K lives on an odd-numbered floor and immediately above P. G lives on one of the floors below L and on one of the floors above H. Who lives on floor numbered 5?
