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Eight persons - A, B, C, D, E, F, G and H live in a building of 4 floors and 2 flats - Flat 1 and Flat 2. Flat 1 is to the west of Flat 2 and Flat 1 of Floor 1 is immediately below Flat 1 of Floor 2 and Flat 2 of Floor 1 is immediately below Flat 2 of Floor 2 and so on. There are two floors between B and C. B lives above C and they live in different flats. A lives west of D but on the odd number of floor. F lives immediately above C. No person lives west of G who lives on the fourth floor. H does not live on floor number one.
Which Floor Flat Combination is correct for E ?
Floor 1 Flat 2
Floor 2 Flat 1
Floor 3 Flat 2
Floor 4 Flat 1
Floor 2 Flat 2
Alright, let’s break this puzzle down step by step:
- There are 8 people, 4 floors, 2 flats per floor. Flat 1 (west), Flat 2 (east).
- B is above C, with 2 floors between them, and they are in different flats.
- So, if C is on Floor 1, B is on Floor 4 (not in same flat). Or C (2) & B (4), or C (1) & B (3) — but spacing is 2, so only C (1) & B (4) or C (2) & B (4)
- F is immediately above C. That means F and C are in the same flat, consecutive floors.
- G is on the fourth floor, and nobody is west of G, so G is in Flat 1 (west), Floor 4.
- C can’t be on Floor 3, because then F would be Floor 4, but G is already in Flat 1, Floor 4.
- H doesn’t live on the first floor.
- A is west (Flat 1) of D and on an odd-numbered floor.
So, let’s start from the top — Floor 4, Flat 1: G. That means B can only be in Floor 4, Flat 2.
C, being two floors below B, must be on Floor 1, Flat 1 or 2 (since B is Floor 4 Flat 2, C must be Floor 2 Flat 1). But F is just above C, so F is Floor 3, Flat 1. So, B (4,2), F (3,1), C (2,1). Done.
A lives west of D; that means A (Flat 1), D (Flat 2) on same floor. Also, A is on an odd-numbered floor.
Since Flat 1 on Floor 1 is still open, but H does not live on Floor 1, let's try A (1,1), D (1,2), but H can’t be here. Let's check other possible placements for A/D. Try A (3,1), but F is already (3,1). Try A (1,1), but that also bumps into H's rule. Let's mark what we've got so far:
Floor 4: G (1), B (2)
Floor 3: F (1),
Floor 2: C (1),
Floor 1:
That leaves Floor 3, Flat 2; Floor 2, Flat 2; Floor 1, Flat 1; Floor 1, Flat 2 for E, D, H, and A.
A & D must be same floor, odd floor, A west of D. Odd floor options are 1 and 3. Floor 3 Flat 1 is taken (F), so only option is Floor 1, A (1,1), D (1,2).
So, Floor 1, Flat 1: A
Floor 1, Flat 2: D
Now, H is not on Floor 1, so H must be Floor 2, Flat 2 or Floor 3, Flat 2.
E gets the remaining spot.
Overall layout:
Floor 3: F (1), ____ (2)
Floor 2: C (1), ____ (2)
Floor 1: A (1), D (2)
Spaces left: Floor 3, Flat 2 and Floor 2, Flat 2 for E/H.
So, H can be (3,2) or (2,2), and E the other.
Let’s check if any clues contradict E being on Floor 1, Flat 2:
You asked: Which flat/floor is E in?
Option 1 is Floor 1, Flat 2.
But according to what we've laid out, D is already on Floor 1, Flat 2, so E cannot be on Floor 1, Flat 2.
Correct answer:
- If H is on Floor 3, Flat 2 ? E will be on Floor 2, Flat 2 (Option 5)
- If H is on Floor 2, Flat 2 ? E will be on Floor 3, Flat 2 (Option 3)
Since no more constraints pin H down, but either way, E is never on Floor 1, Flat 2.
So, the Floor/Flat combination for E is not Option 1.
Here’s the clear map of solutions:
- Floor 4: G (1), B (2)
- Floor 3: F (1), H/E (2)
- Floor 2: C (1), E/H (2)
- Floor 1: A (1), D (2)
E must be in either Floor 2, Flat 2 (Option 5) or Floor 3, Flat 2 (Option 3)—whichever one H is not in.
?? Option 3: Floor 3 Flat 2 is a possible answer for E.
?? Option 5: Floor 2 Flat 2 is also possible for E.
But—never Floor 1, Flat 2.
That’s the logic, step by step.
By: Parvesh Mehta ProfileResourcesReport error
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