Eight persons A, B, C, D, E, F, G and H live on different floors (but not necessarily in the same order) of a four-floor building where ground floor is numbered as 1 and the topmost floor is numbered as 4. Each floor has two flats i.e., flat 1 and flat 2. Flat 1 is in the west of Flat 2. Flat 1 of floor 2 is just above the flat 1 of floor 1 and just below the flat 1 of floor 3. Similarly, flat 2 of floor 2 is just above the flat 2 of floor 1 and just below the flat 2 of floor 3.
Two floors gap between B and G. Both B and G lives in odd numbered flat. One floor gap between G and A. G and A live in the same flat. H lives in flat 2 but not on the floor of A and B. D lives just below the floor of H but in different flats. C lives on an even numbered floor but above the floor of F.
Who among the following lives to the east of D?
Correct Answer :
E
Solution :
The correct answer is E.
Step-by-step Explanation:
1. Understanding the Building Structure:
The building consists of 4 floors (numbered 1 to 4 from bottom to top) and each floor has 2 flats: Flat 1 (West) and Flat 2 (East).
2. Determining the positions of B, G, and A:
- There is a two-floor gap between B and G, and both live in Flat 1 (odd-numbered flat). This means B and G must occupy Floor 4 and Floor 1 in Flat 1.
- There is a one-floor gap between G and A, and both live in the same flat (Flat 1).
- If G lives on Floor 4 (Flat 1), then A must live on Floor 2 (Flat 1) and B lives on Floor 1 (Flat 1).
- (If G were on Floor 1, D would not be able to sit just below H in a different flat, making that case invalid).
3. Determining the positions of H and D:
- H lives in Flat 2 but not on the floor of A (Floor 2) or B (Floor 1). Thus, H lives on Floor 4 (Flat 2).
- D lives just below the floor of H but in a different flat. Since H is on Floor 4 (Flat 2), D must live on Floor 3 in Flat 1.
4. Placing C, F, and E:
- C lives on an even-numbered floor (Floor 2 or 4) above F. Since Floor 4 (Flat 2) is occupied by H, C must live on Floor 2 (Flat 2), and F lives on Floor 1 (Flat 2).
- The remaining person, E, lives on Floor 3 (Flat 2).
Final Arrangement:
Floor 4: Flat 1 = G, Flat 2 = H
Floor 3: Flat 1 = D, Flat 2 = E
Floor 2: Flat 1 = A, Flat 2 = C
Floor 1: Flat 1 = B, Flat 2 = F
Therefore, E lives to the east (Flat 2) of D (Floor 3, Flat 1).
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