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Six books A, B, C, D, E, and F are stacked on a shelf. C is above D. B is below E. A is above E. D is above A. Which book is at the bottom?
C
D
A
F
F
Represent the conditions as a vertical inequality chain (Higher > Lower) and link them sequentially to form the full stack.
Represent the conditions as a vertical inequality chain (Higher > Lower) and link them sequentially to form the full stack.
Analyze given constraints
From the problem: 1) C is above D (C > D). 2) B is below E (E > B). 3) A is above E (A > E). 4) D is above A (D > A).
Combine the chain
Combining these: C > D, D > A, A > E, E > B. This results in the sequence C > D > A > E > B. We have 5 books accounted for in the stack.
Place the remaining book
The problem mentions six books (A, B, C, D, E, F). Since F is not mentioned in any relative position, it must fill the only remaining spot that satisfies the stack logic, which places it at the bottom of the stack to form the complete set.
A: C is at the top of the chain (C > D > A > E > B), not the bottom. B: D is in the middle of the chain, above A, E, and B. C: A is above E and B, so it cannot be at the bottom.
D is correct because the ordered sequence C > D > A > E > B places B at the bottom of the known group, and given the six books provided, F is logically positioned at the bottom.
In ranking puzzles, always search for the 'common element' between two statements (like D or E here) to merge separate sequences into one long string.