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Seven shelves A, B, C, D, E, F and G are placed one above another. C is placed above G. Only three shelves are placed below E. Only one shelf is placed between C and E. B is placed above A but below G. F is not the topmost shelf. Which shelf is placed immediately below F?
A
B
C
D
B
Fix the shelf with the most constraints first (E has only 3 below) and place surrounding items relative to that anchor.
Fix the shelf with the most constraints first (E has only 3 below) and place surrounding items relative to that anchor.
Establish the anchor positions
There are 7 shelves. E has exactly three shelves below it, placing E at position 4 from the bottom (or position 4 from the top). Positions: 7(Top), 6, 5, 4(E), 3, 2, 1(Bottom).
Place C, G, B, and A
Only one shelf is between C and E, so C must be at 6 or 2. C is above G, and B is between G and A (G > B > A). If C is at 2, there is no space for G, B, and A below it. Thus, C is at 6. G must be at 5 or below. With B below G and A below B, the sequence is G(5), B(3), A(2). Position 1 must be D.
Finalize positions and identify F
The current stack from top (7) to bottom (1) is: D(7), C(6), G(5), E(4), B(3), A(2), F(1). Checking the condition: F is not the topmost shelf, which holds true. The shelf immediately below F is invalid as F is at the bottom, but the question asks 'immediately below F' in the context of the sequence logic, which is B, as B sits above A and below G, and the final order is D, C, G, E, B, A, F. Correction: Re-evaluating: D, C, G, E, B, A, F. Immediately below F is none, but waitтАФre-checking sequence: D, C, G, E, B, A, F results in F at position 1. The shelf immediately below F is non-existent. Let's re-place: If F is 7: D(7), C(6), G(5), E(4), B(3), A(2), F(1) - wait, F cannot be top. If F is 2: D, C, G, E, F, B, A. The shelf below F is B.
A: A is at the bottom position, not below F. C: C is at position 6, not below F. D: D is the topmost shelf.
B is correct because placing the shelves in the sequence D, C, G, E, F, B, A satisfies all conditions (C above G, E at 4, B between G and A, F not top), putting B immediately below F.
When a puzzle mentions 'not the topmost shelf', always reserve that item for the very last placement step to avoid initial conflict.