This solution provides a step-by-step deduction to determine the floor number B lives on, based on the given constraints for the 7-floor building puzzle.
1. Floor Deduction: C's Position
The condition "Only one person lives above C" implies C resides on the second highest floor. In a 7-floor building, this means C lives on floor \(7 - 1 = 6\).
2. Floor Deduction: G's Position
With "Only two persons live between G and C", and C on floor 6, G must be below C. Calculating the floor number: \(6 - 2 (\text{people}) - 1 (\text{floor gap}) = 3\). Therefore, G lives on floor 3.
3. Floor Location: D's Placement
Given "Only one person lives between D and G", and G is on floor 3, D could potentially be on floor \(3+1+1 = 5\) or floor \(3-1-1 = 1\). The rule "D does not live on the lowermost floor" disqualifies floor 1. Hence, D lives on floor 5.
4. Floor Placement: E and F
The constraint "F lives immediately below E" means they occupy adjacent floors with E directly above F. The remaining floors are 1, 2, 4, and 7. The only available consecutive pair is floor 2 for E and floor 1 for F.
5. Floor Calculation: B's Position
Knowing F lives on floor 1, and "Only two persons live between F and B", we calculate B's floor number: \(1 + 2 (\text{people}) + 1 (\text{floor gap}) = 4\). B lives on floor 4.
Final Floor Arrangement
The complete arrangement satisfying all conditions is:
| Floor 7 | A |
| Floor 6 | C |
| Floor 5 | D |
| Floor 4 | B |
| Floor 3 | G |
| Floor 2 | E |
| Floor 1 | F |
B lives on floor number 4.
Similar Questions
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Important Questions from Floor Puzzle
- If P is on the first step, on which step is S?
- If P is on the first step, which of the following is true?
- If T was on the third step, which of the following pairs is incorrect?
If T joined P, Q, R and S, and T was on the third step, and Q was on a higher step than T, which step must be vacant?
If there are two steps in between the steps on which A and D are standing and C is standing on Step 6, A must be standing on which of the following steps?
