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Seven boxes A, B, C, L, X, Y and Z are kept one over the other but not necessarily in the same order. Only three boxes are kept above X. Only one box is kept between Z and X. Only three boxes are kept between Z and A. A is kept at some place above X. C is kept immediately below A. L is kept at one of the places above Y. B is not kept immediately above or below Z. Which box is kept at the lowermost position?
Y
Z
C
B
Y
Arrange the 7 floors. Place X at 4th from top (position 4). Use constraints to lock Z, A, and C. Since A is above X, and there are 3 boxes between Z and A, Z must be below X.
Arrange the 7 floors. Place X at 4th from top (position 4). Use constraints to lock Z, A, and C. Since A is above X, and there are 3 boxes between Z and A, Z must be below X.
Establish the Grid
Total 7 boxes. X is at 4th position from top because 3 boxes are above it (7-3=4). Positions: 7, 6, 5, 4(X), 3, 2, 1.
Place Z, A, and C
A is above X, 3 boxes between Z and A, 1 box between Z and X. If X=4, Z must be 3 or 5. Only Z=3 allows 3 boxes between Z and A (3 to 6: 4,5,6 are between, so A=7 is blocked, if A=6, then 5,4,3 are between). With A=6, C is below A, so C=5.
Finalize Positions
L is above Y, B is not adjacent to Z. With remaining slots 7, 2, 1, and boxes L, B, Y: L=7, B=2, Y=1. Y sits at the bottom.
B: Incorrect, B is at position 2. C: Incorrect, C is at position 5. D: Incorrect, X is at position 4.
Y is correct because based on the constraints, the order from top to bottom is L, A, C, X, Z, B, Y.
In floor puzzles, always fix the most restrictive element (like X) first to build the stack effectively.
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