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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 three boxes are kept below L. Only two boxes are kept between L and F. Only A is kept above B. M is kept at some place below P and at some place above E. Which box is kept at the second position from the bottom?
E
F
M
L
E
Determine the fixed positions of L and F first, then anchor the P-M-E vertical sequence to find the remaining slots.
Determine the fixed positions of L and F first, then anchor the P-M-E vertical sequence to find the remaining slots.
Analyze constraints for L, F, P, M, E
Three boxes are below L (L is at position 5). Two boxes between L and F (F is at position 2, but wait: 7-5=2 boxes below L, so L is 5th from top. F is 2 below L, so F is 7th from top). P > M > E constraint applies to the remaining spots.
Place A and B
Only A is above B. This means A and B are adjacent and A must be above B. With L at 5, F at 7, and the P-M-E chain, A and B occupy the remaining open positions 2 and 4.
Final Order Verification
Stack from 1 to 7: P(1), A(2), M(3), B(4), L(5), E(6), F(7). M is between P and E. A is above B. Second position from the bottom is E.
B: Incorrect, B is at position 4. C: Incorrect, L is at position 5. D: Incorrect, F is at position 7 (bottom).
A is correct because the sequence P-A-M-B-L-E-F puts E at the 6th position from top, which is the 2nd position from bottom.
In vertical box puzzles, always identify the 'fixed' anchor (like '3 boxes below L') first to limit your scenario search space.
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