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G, H, I, J, K, L and M live on seven different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 7. H lives on an even numbered floor but not on the second floor. Only three people live between H and M. J lives on one of the floors below H but immediately above M. G lives on one of floors below J. Only three people live between G and K. L lives on one of the floors above J but below I. Who lives on the fifth floor?
L
H
K
M
K
Determine the fixed point (H lives on floor 4 or 6) and use the '3 people between' condition to anchor M, then place J and G relative to the fixed constraints.
Determine the fixed point (H lives on floor 4 or 6) and use the '3 people between' condition to anchor M, then place J and G relative to the fixed constraints.
Establish H and M positions
H is on an even floor (2, 4, or 6) but not 2. If H=4, M must be on floor 8 (impossible). If H=6, there are three floors (5,4,3) between H and M, so M=2.
Place J, G and K
J is below H (6) and immediately above M (2), so J=3. G is below J (3), so G=1. Remaining K must be placed. Three people between G (1) and K are (2,3,4), making K=5.
Finalize L and I
L is above J(3) but below I. With remaining slots 4 and 7, L must be 4 and I must be 7.
A: L is on floor 4, B: H is on floor 6, D: M is on floor 2.
C is correct because according to the sequential placement of all seven individuals, K occupies the fifth floor.
In floor puzzles, always identify the 'anchor' (person with the most constraints) first to minimize trial-and-error branching.
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