Directions: Read the following information carefully and answer the questions given below:
Ten persons—A, B, C, D, E, F, G, H, I, and J—live on different floors of a 10-storey building, where the ground floor is numbered 1, the floor above it is 2, and so on up to the top floor numbered 10.
B lives on an even-numbered floor below floor 5. Three persons live between B and F, who lives immediately below H. D lives on an even-numbered floor above H. Two persons live between H and C, who lives above D. The number of persons living above C is the same as the number of persons living below A. J lives three floors above F. E lives immediately below I and immediately above G.
Four of the following five are alike in a certain way based on their floor positions and form a group. Which person does not belong to that group?
Correct Answer :
G
Solution :
The correct answer is G.
Step-by-Step Explanation:
Let us determine the floor positions of all ten persons (A, B, C, D, E, F, G, H, I, and J) on floors 1 to 10 from bottom to top based on the given clues:
1. Position of B, F, and H:
• B lives on an even-numbered floor below floor 5. Thus, B can live on either floor 2 or floor 4.
• If B lives on floor 4, three persons live between B and F, placing F on floor 8. Then H would be on floor 9. However, D must live on an even-numbered floor above H, and C must live above D, which would leave no available floor for C. Therefore, B cannot live on floor 4.
• Thus, B lives on floor 2.
• Three persons live between B and F, so F lives on floor 6.
• F lives immediately below H, which means H lives on floor 7.
2. Position of D and C:
• D lives on an even-numbered floor above H (floor 7), so D can live on floor 8 or floor 10.
• Two persons live between H and C, and C lives above D. Since H is on floor 7, C must live on floor 10.
• Since C lives on floor 10 and D lives below C on an even floor above H, D must live on floor 8.
3. Position of A and J:
• The number of persons living above C (floor 10) is 0. Therefore, the number of persons living below A is also 0, which places A on floor 1.
• J lives three floors above F (floor 6), which places J on floor 9 (6 + 3 = 9).
4. Position of I, E, and G:
• The remaining vacant floors are 5, 4, and 3.
• E lives immediately below I and immediately above G. Thus, I, E, and G occupy floors 5, 4, and 3 respectively.
Final Floor Arrangement (Top to Bottom):
Floor 10: C
Floor 9: J
Floor 8: D
Floor 7: H
Floor 6: F
Floor 5: I
Floor 4: E
Floor 3: G
Floor 2: B
Floor 1: A
Pattern Analysis:
Now, let us examine the floor positions of the persons given in the options:
• D lives on Floor 8 (Even-numbered floor)
• F lives on Floor 6 (Even-numbered floor)
• B lives on Floor 2 (Even-numbered floor)
• C lives on Floor 10 (Even-numbered floor)
• G lives on Floor 3 (Odd-numbered floor)
All persons except G live on even-numbered floors. Therefore, G does not belong to the group.
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