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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. B is kept third from the top. Only three boxes are kept between D and B. C is kept immediately below G but above F. A is kept below E but above B. How many boxes are kept between C and A?
Two
One
Three
Four
Two
Fix the anchor position (B at 3rd) first, then place boxes based on relative constraints (D-B gap and E-A-B order).
Fix the anchor position (B at 3rd) first, then place boxes based on relative constraints (D-B gap and E-A-B order).
Establishing the base positions
There are 7 positions (1=top, 7=bottom). B is 3rd from top. Condition: Only three boxes between D and B. If B is 3, D must be 7 (3+4=7). Arrangement so far: 1:?, 2:?, 3:B, 4:?, 5:?, 6:?, 7:D.
Applying sequence constraints
A is below E but above B. Since B is 3, A must be 2 and E must be 1. Current: 1:E, 2:A, 3:B, 4:?, 5:?, 6:?, 7:D. Remaining boxes are C, G, F.
Finalizing the stack
Condition: C is immediately below G but above F. The only empty spots are 4, 5, 6. If G is 4, then C is 5. This places F at 6. The sequence is: 1:E, 2:A, 3:B, 4:G, 5:C, 6:F, 7:D.
Determining the gap between C and A
A is at position 2 and C is at position 5. The boxes between them are at positions 3 (B) and 4 (G). There are exactly 2 boxes between C and A.
B: One box is incorrect as we clearly identified B and G between them; C: Three boxes is incorrect as there are only two; D: Four boxes is incorrect as that would exceed the stack limits.
A is correct because the final arrangement places A at 2nd and C at 5th, with boxes B and G sitting between them.
In vertical stacking puzzles, always draw the slots 1 to N first. It prevents errors when visualizing 'above' and 'below' relationships.