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Seven boxes, A, B, E, F, L, M and P, are kept one over the other but not necessarily in the same order. Only two boxes are kept between L and B. No box is kept below B. Only A is kept above E. M is kept at some place below F but at some place above P. Which box is kept third above P?
L
E
A
F
F
Determine the bottom box first (B) and use relative positioning to fill the slots, noting that 'only A is above E' implies A is at the very top.
Determine the bottom box first (B) and use relative positioning to fill the slots, noting that 'only A is above E' implies A is at the very top.
Establish the base and top
There are 7 boxes. 'No box is kept below B' means B is at position 1 (bottom). 'Only A is kept above E' means A is at position 7 (top) and E is at position 6.
Place L and remaining boxes
'Only two boxes are kept between L and B'. If B is 1, L must be 4. 'M is below F but above P' means the sequence is F > M > P.
Fill the gaps
Positions: 7: A, 6: E, 5: F, 4: L, 3: M, 2: P, 1: B. The boxes are placed: 7:A, 6:E, 5:F, 4:L, 3:M, 2:P, 1:B.
Find the target box
The question asks for the box kept third above P (position 2). Position 2 + 3 = 5. Box at position 5 is F.
A: F is the third above P, so the other options are incorrect.
D is correct because based on the sequence A-E-F-L-M-P-B, the third box above P (at position 2) is F (at position 5).
In vertical arrangement puzzles, immediately lock down absolute positions (top/bottom) provided by exclusive clues like 'only X is above Y' to drastically reduce branching scenarios.
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