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Seven boxes A, B, C, D, E, F and G are kept one over the other. F is kept third from the top. Only three boxes are kept between A and F. E is kept immediately below D but above C. B is kept below G but above F. How many boxes are kept between D and G?
One
Two
Three
Zero
One
Identify the fixed positions first (F at 3) and chain the linked conditions (D-E-C and G-B-F) to fix the entire stack.
Identify the fixed positions first (F at 3) and chain the linked conditions (D-E-C and G-B-F) to fix the entire stack.
Establish Fixed Positions
There are 7 positions. F is 3rd from the top. Since there are 3 boxes between A and F, A must be in position 7 (3rd from the top, skip 3, A is at 3+1+3 = 7).
Placement of Linked Blocks
Given B is between G and F, and F is at 3, B and G must occupy positions 1 and 2. Since B is below G, G=1 and B=2. Now positions 4, 5, 6 remain for D, E, C. Given E is immediately below D and above C, the order must be D=4, E=5, C=6.
Verify Final Sequence
The stack from top to bottom is: 1:G, 2:B, 3:F, 4:D, 5:E, 6:C, 7:A. D is at 4 and G is at 1.
B: Two boxes would mean D at 4 and G at 1 is impossible. C: Three boxes is incorrect as there is only one box between positions 4 and 1. D: Zero boxes implies they are adjacent, which they are not.
A is correct because the final stack sequence is G, B, F, D, E, C, A, leaving exactly one box (B) between D and G.
In vertical stacking puzzles, always look for the longest contiguous chain (like D-E-C) to place first once the boundaries are set.