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Six boxes, D, E, F, G, X and Y, are kept one over the other, but not necessarily in the same order. Only three boxes are kept below D. Only two boxes are kept between D and F. Only E is kept above Y. X is kept at some place above G. How many boxes are kept between F and X?
Three
Four
One
Two
One
Always place the fixed anchor first (Box D) and use vertical slots to fill the remaining constraints, starting from the most restrictive one.
Always place the fixed anchor first (Box D) and use vertical slots to fill the remaining constraints, starting from the most restrictive one.
Establish the base position
There are 6 positions. 'Only three boxes are kept below D' means D must be in the 4th position from the bottom (Position 4).
Positioning F and other constraints
Two boxes are between D and F. D is at 4, so F can be at 1 or 7. Since there are only 6 boxes, F must be at position 1. 'Only E is kept above Y' implies E and Y occupy the top two positions, 6 and 5 respectively.
Finalizing the stack
The positions are: 6:E, 5:Y, 4:D, 3:X, 2:G, 1:F. 'X is kept at some place above G' confirms X at 3 and G at 2. Counting boxes between F (pos 1) and X (pos 3), we find only G is in between.
A: Three boxes would mean X is at pos 5, contradicting the E/Y constraint. B: Four boxes is physically impossible as there are only 6 positions. D: Two boxes would mean X is at pos 4, which is already occupied by D.
C is correct because placing the boxes in order (6:E, 5:Y, 4:D, 3:X, 2:G, 1:F) results in exactly one box (G) between F and X.
In stacking puzzles, always identify 'anchor' points (like 'three boxes below D') to lock the initial framework before placing relative items.
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