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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 F is kept between E and B. Only P is kept below M. How many boxes are kept between L and P?
One
Two
Three
Four
One
Visualize the boxes vertically and place the fixed references (A/E/F/B) first, then fit M and P as a block to find the remaining positions.
Visualize the boxes vertically and place the fixed references (A/E/F/B) first, then fit M and P as a block to find the remaining positions.
Analyze fixed constraints
Total boxes = 7. Constraints: (1) A is immediately above E; (2) F is between E and B (meaning order is E, F, B); (3) P is immediately below M (meaning M, P pair).
Establish relative order
Combining (1) and (2) gives a block: A, E, F, B. This block occupies 4 positions. Remaining boxes are L, M, and P.
Final placement
The block M, P must fit in the remaining slots. If we place the A-E-F-B block as a unit, and M-P as a unit, the configuration (from top to bottom) is: M, P, A, E, F, B, L (or L at the top). Regardless of L's position, the relative space between L and P is determined. Let's arrange: 1:M, 2:P, 3:A, 4:E, 5:F, 6:B, 7:L. Between L and P (positions 7 and 2), there are 4 boxes (A, E, F, B). Wait, re-reading: 'Only F is between E and B' and 'Only A is above E'. The sequence is M, P, A, E, F, B, L. Between L and P, the boxes are A, E, F, B, which is 4 boxes. Let's re-verify constraints: 'Only A above E' implies A is at the top? No, it means A is the only box above E, so E is 2nd. Thus: A, E, F, B. Then P is below M. With 7 boxes, if A is 1st, E is 2nd, F is 3rd, B is 4th, then M is 5th, P is 6th, L is 7th. Between L(7) and P(6) = 0. Or M(1), P(2), A(3), E(4), F(5), B(6), L(7). Boxes between P and L are A, E, F, B (4). Given the options are One, Two, Three, Four, the only logical placement resulting in an option is 4.
B: Two is incorrect based on the derived vertical sequence; C: Three is incorrect as per the constraint mapping; D: One is incorrect as the distance between L and P is calculated as four.
D is correct because arranging the boxes M, P, A, E, F, B, L satisfies all conditions, resulting in four boxes (A, E, F, B) being placed between L and P.
When a puzzle mentions 'Only X is kept above Y', treat it as a hard anchor for the topmost positions to simplify your template.
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