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Seven boxes, D, E, F, G, H, W and X, are kept one over the other, but not necessarily in the same order. Only H is kept above E. Only D is kept between E and G. Only F is kept below X. How many boxes are kept between W and E?
One
Three
Two
Four
Two
Always place the most restricted entities first (those with fixed positions like 'only H above E') to anchor the stack.
Always place the most restricted entities first (those with fixed positions like 'only H above E') to anchor the stack.
Establish fixed positions
There are 7 boxes. 'Only H is kept above E' means H is at position 7 and E is at position 6 (top-down). 'Only D is kept between E and G' means E is at 6 and G must be at 4 (since D is at 5).
Place remaining boxes
Remaining boxes are F, W, and X. 'Only F is kept below X' implies a sequence of X at 2 and F at 1. Since only W is left, it must occupy position 3.
Verify final stack order
Top to bottom: 7:H, 6:E, 5:D, 4:G, 3:W, 2:X, 1:F. Between E (pos 6) and W (pos 3), the boxes are D (pos 5) and G (pos 4).
A: One is wrong because D and G are two distinct boxes; B: Three is wrong because there are only two positions between 6 and 3; D: Four is wrong as it exceeds the calculated count.
C is correct because the final arrangement places D and G at positions 5 and 4, which are exactly two boxes between E (6) and W (3).
In vertical stacking puzzles, always note 'only' constraints first as they drastically limit the number of possible permutations.