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A, G, H, P, S and Y 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, which is numbered 6. Only two people lives between P and S. Only G lives above H. Y lives on an even numbered floor. P lives on the lowermost floor. How many people live between A and G?
Four
Three
Two
One Question ID : 4410091451270 Option 1 ID : 4410095733563 Option 2 ID : 4410095733562 Option 3 ID : 4410095733561 Option 4 ID : 4410095733560 Status : Answered Chosen Option : C
Two
Start with the absolute position (P on floor 1) and use relative constraints (Only G above H) to quickly anchor the remaining variables.
Start with the absolute position (P on floor 1) and use relative constraints (Only G above H) to quickly anchor the remaining variables.
Establish fixed positions
Floor 1 is P. Only two people live between P (Floor 1) and S, so S must be on Floor 4 (1 + 3 = 4).
Determine remaining floor placements
Y lives on an even floor (2 or 6). Only G lives above H implies H is floor 2 and G is floor 3 (Only one person lives above H). With floors 1, 2, 3, 4 filled, we have 5 and 6 left. Y must be on an even floor, so Y is on 6. This leaves A for floor 5.
Final distribution and count
The order from bottom (1) to top (6) is: P(1), H(2), G(3), S(4), A(5), Y(6). People between A(5) and G(3) is floor 4 (S). Wait, checking: between 5 and 3 is floor 4. There is only one person (S). Let me re-verify: 'Only G lives above H' means G must be the floor immediately above H. If H is 2, G is 3. If H is 5, G is 6. If G is 6, Y must be 2. Let's try: P=1, Y=2, H=5, G=6, S=4. Remaining A=3. Between A(3) and G(6) are 4 and 5 (two people).
A: Incorrect as only two people exist between A and G. B: Incorrect as three people do not fit the constraints. D: Incorrect as only one person would imply a different floor sequence than the one derived.
C is correct because placing Y on floor 2 and A on floor 3 leaves floors 4 and 5 (S and H) between A and G (where G is floor 6 and H is floor 5), resulting in two people.
In floor-based puzzles, always prioritize fixed positions first (like floor 1) and then use constraints with 'only' to limit possibilities.
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