A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2, and so on till the topmost floor is numbered 6. Only five people live above D. Only two people live above A. C lives below F but above A. B does not live on an even numbered floor. How many people live below C?
Correct Answer :
Four
Solution :
The correct answer is Four.
Let us analyze the given information step-by-step to determine the floor arrangement of all six individuals (A, B, C, D, E, and F):
The building has 6 floors, numbered 1 (bottom) to 6 (top).
Step 1: Determine the position of D
"Only five people live above D."
Since there are 6 floors in total and 5 people live above D, D must be on the lowermost floor, which is floor 1.
Step 2: Determine the position of A
"Only two people live above A."
The floors above A would be floor 5 and floor 6. Thus, A lives on floor 4.
Step 3: Determine the position of C and F
"C lives below F but above A."
Since A lives on floor 4, the floors above A are floor 5 and floor 6.
Because C lives above A and below F, C must live on floor 5 and F must live on floor 6.
Step 4: Determine the positions of B and E
The remaining available floors are floor 2 and floor 3 for B and E.
"B does not live on an even numbered floor."
Between floor 2 and floor 3, floor 3 is odd and floor 2 is even. Therefore, B must live on floor 3, and E must live on floor 2.
Final Floor Arrangement:
Floor 6: F
Floor 5: C
Floor 4: A
Floor 3: B
Floor 2: E
Floor 1: D
Conclusion:
C lives on floor 5. The people living below C are on floors 4, 3, 2, and 1 (A, B, E, and D).
Therefore, exactly Four people live below C.
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