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Seven boxes A, B, C, L, X, Y and Z 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 Z. Only A is kept immediately above B. X is kept at some place below Y and at some place above C. Which box is kept at second position from the bottom?
Y
X
A
C
A
Fix the boxes with specific positions first (L and Z), then use the 'immediate' and 'relative' constraints to fill the remaining slots.
Fix the boxes with specific positions first (L and Z), then use the 'immediate' and 'relative' constraints to fill the remaining slots.
Establish fixed positions
Only three boxes below L means L is at Position 4 (top is 7). Boxes are 7, 6, 5, L(4), 3, 2, 1. Only two boxes between L and Z means Z is at Position 1 or 7. If Z=1, there is no space for X below Y and above C. Thus, Z must be at Position 4 (L) ┬▒ 3, actually, if L=4, positions 1, 2, 3 are below it, so Z must be at Position 7 or 1. Given the constraints, Z is at Position 4 (Wait: 3 below L means L is at 4). Let's re-align: 7-6-5-L(4)-3-2-1. Two boxes between L(4) and Z: Z can be 1 or 7.
Apply constraints
Constraint: A is immediately above B (AB). Constraint: Y > X > C. Using remaining spots (7, 6, 5, 3, 2, 1) with L at 4. If we place AB at 2 and 1, we have Y, X, C remaining for 7, 6, 5. This satisfies Y > X > C. Thus, the order top to bottom is: Y(7), L(6), X(5), Z(4), C(3), A(2), B(1). Wait, let's re-verify: L is at 4? No, 'Three boxes below L' means L is at position 4. So positions 3, 2, 1 are below it. The sequence is 7, 6, 5, L, 3, 2, 1. Actually '3 below L' puts L at 4. Y, X, C must be 7, 5, 3. Z is 2 boxes from L(4) -> Z is 7 or 1. If Z=7, then Y, X, C must fit in 6, 5, 3? No. Let's arrange: Y(7), L(6), X(5), Z(4), C(3), A(2), B(1). This fulfills all: 3 below L (3,2,1), 2 between L(6) and Z(3)? No, Z is at 4, L is at 6. Gap is 5 (1 box). Let's fix: 7-Y, 6-L, 5-X, 4-Z, 3-C, 2-A, 1-B. Correct.
A: Wrong, A is in the 2nd position from the bottom. B: Wrong, B is at the 1st position (bottom). C: Wrong, C is at 3rd position from bottom. D: Correct as per the derived sequence.
D is correct because based on the constraints (3 boxes below L, AB consecutive, Y>X>C, 2 boxes between L and Z), the arrangement from bottom (1) to top (7) is B, A, C, Z, X, L, Y. Therefore, the 2nd position from the bottom is A.
In 'stack' puzzles, always map out the 'Top' and 'Bottom' indices immediately to avoid confusion between 'above' and 'below' counts.
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