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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 A is kept above E. Only two boxes are kept between E and F. Only P is kept below M. B is not kept immediately above F. Which box is kept second above L?
A
E
B
F
E
Map the fixed positions first (M-P constraint and E-F constraint) then test the variable placements of A, B, and L to satisfy the 'only A above E' condition.
Map the fixed positions first (M-P constraint and E-F constraint) then test the variable placements of A, B, and L to satisfy the 'only A above E' condition.
Analyze Constraints
Boxes: A, B, E, F, L, M, P. 1) Only A is above E: This means E must be at the 6th position, and A at the 7th (top). 2) Two boxes between E and F: F must be at the 3rd position (6-2-1=3). 3) Only P is below M: This means M is at the 2nd position and P is at the 1st (bottom).
Final Arrangement
Positions: 7-A, 6-E, 5-?, 4-?, 3-F, 2-M, 1-P. Remaining boxes are B and L. Constraint: B is not immediately above F (position 4). Thus, B must be at position 5 and L must be at position 4. The order is: 7:A, 6:E, 5:B, 4:L, 3:F, 2:M, 1:P.
Identify Target
The question asks for the box 'second above L'. L is at position 4. One above L is position 5 (B), and two above L is position 6 (E).
A: Represents box F, which is third below L. C: Represents box B, which is immediately above L. D: Represents box A, which is third above L.
B is correct because the sequence from top to bottom is A, E, B, L, F, M, P, and the box second above L (position 4) is E (position 6).
When a puzzle says 'Only X is [condition] Y', it means all other items are excluded from that condition. Always place these fixed constraints first to simplify the remaining possibilities.
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