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Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. E is kept fifth from the bottom. C is kept fifth from the top. Only one box is kept between D and C. F is kept immediately below B. A is not kept below G. How many boxes are kept between G and A?
None
Two
Three
One
One
Fix the anchor points (E and C) first and use the relative position of the F-B block to eliminate impossible placements immediately.
Fix the anchor points (E and C) first and use the relative position of the F-B block to eliminate impossible placements immediately.
Establish Fixed Positions
Create 7 slots (7 top to 1 bottom). E is 5th from bottom = 3rd from top. C is 5th from top. Positions: 1-?, 2-?, 3-E, 4-?, 5-C, 6-?, 7-?.
Place Remaining Boxes
D is 1 away from C, so D is at 3 or 7. Since E is at 3, D must be at 7. F is immediately below B (block B, F). The only vacant spots for B and F together are 1 and 2. Thus, B=1, F=2.
Final Arrangement and G/A Check
Remaining boxes are A and G at 4 and 6. A is not below G, so A must be at 4 and G at 6. The order is: 1-B, 2-F, 3-E, 4-A, 5-C, 6-G, 7-D. G is at 6 and A is at 4; there is exactly one box (C) between them.
A: Incorrect because calculation shows one box (C) exists between G and A; B: Incorrect as there are not two boxes between G and A; C: Incorrect as there are not three boxes between G and A.
D is correct because based on the sequence B, F, E, A, C, G, D, there is only one box (C) placed between G (6th) and A (4th).
In stack puzzles, always identify 'anchor' variables with absolute positions (e.g., '5th from top') first to shrink the search space for relative constraints.