Question Details

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.

Four among the following five are alike in a certain way and related to a group, who among the following does not belong to the group?

Options

A

F

B

B

C

E

D

G

Show Answer

Correct Answer :

Option D

G

Solution :

To determine who does not belong to the group, let us first analyze the step-by-step arrangement of the eight persons on the four floors and two flats.

Building Layout:
Floors: 4 (topmost), 3, 2, 1 (ground).
Flats: Flat 1 is in the West of Flat 2.

Step-by-step Deduction:

1. Gap between B and G:
"Two floors gap between B and G."
Since there are only 4 floors, B and G must occupy Floor 4 and Floor 1 (or vice versa).
"Both B and G lives in odd numbered flat."
Since both flats are numbered 1 and 2, the odd-numbered flat is Flat 1.
So, B and G are in Flat 1 of Floor 4 and Floor 1.

2. Position of A:
"One floor gap between G and A. G and A live in the same flat."
Since G is in Flat 1, A must also be in Flat 1.
If G is on Floor 4, A would be on Floor 2. If G is on Floor 1, A would be on Floor 3.

3. Position of H and D:
"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."
Since H is in Flat 2, D must be in Flat 1 (since they are in different flats).
D is in Flat 1, but Flat 1 already has positions occupied by B, G, and A on three of the four floors.
Specifically, Flat 1 has occupants on Floor 4, Floor 3/2, and Floor 1.
Let's test the two possibilities for G and B:

Case 1: B is on Floor 4 (Flat 1), G is on Floor 1 (Flat 1).
Then A is on Floor 3 (Flat 1) [one floor gap between G and A].
The remaining floor for Flat 1 is Floor 2, so D must be on Floor 2 (Flat 1).
Since D is just below H, H must be on Floor 3 (Flat 2).
Let's check the condition: "H lives in flat 2 but not on the floor of A and B."
In Case 1, H is on Floor 3, which IS the floor of A. Thus, Case 1 is invalid.

Case 2: G is on Floor 4 (Flat 1), B is on Floor 1 (Flat 1).
Then A is on Floor 2 (Flat 1) [one floor gap between G and A].
The remaining floor for Flat 1 is Floor 3, so D must be on Floor 3 (Flat 1).
Since D lives just below the floor of H, H must be on Floor 4 (Flat 2).
Let's check H's condition: H is on Floor 4 (Flat 2). The floor of A is Floor 2, and the floor of B is Floor 1. H is on Floor 4, so H is NOT on the floor of A or B. This satisfies all conditions!

4. Positions of C, E, and F:
"C lives on an even numbered floor but above the floor of F."
The available positions in Flat 2 are Floor 3, Floor 2, and Floor 1.
Even-numbered floors available in Flat 2 is Floor 2.
Therefore, C is on Floor 2 (Flat 2).
Since C is above F, F must be on Floor 1 (Flat 2).
The remaining person E must be on Floor 3 (Flat 2).

Final Arrangement:
• Floor 4: G (Flat 1), H (Flat 2)
• Floor 3: D (Flat 1), E (Flat 2)
• Floor 2: A (Flat 1), C (Flat 2)
• Floor 1: B (Flat 1), F (Flat 2)

Finding the Odd One Out:
Let's check the flats of the given options:
• F lives in Flat 2.
• B lives in Flat 1.
• E lives in Flat 2.
• G lives in Flat 1.

Alternatively, looking at the floors or flats:
• F lives in Flat 2.
• B lives in Flat 1.
• E lives in Flat 2.
• G lives in Flat 1 (and top floor).

Notice that F, B, and E all live on floors 1 or 3 (or flat 2 combinations), but G lives in Flat 1 on Floor 4. Specifically, among F, B, E, and G, G is the odd one out as G lives on the 4th floor whereas F, B, E live on floors 1 and 3.

Therefore, the correct answer is G.

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