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Six books are kept one above the other. Book A is above Book B. Book C is below Book D. Book B is above Book D. Book E is between Book A and Book B. Book F is at the bottom. Which book is at the top?
A
B
C
D
A
Identify the extreme ends first (bottom is F) and chain the inequality relations (A > E > B > D > C) to find the top book immediately.
Identify the extreme ends first (bottom is F) and chain the inequality relations (A > E > B > D > C) to find the top book immediately.
Establish the base position
The problem explicitly states Book F is at the bottom (position 6).
Chain the relative positions
Constraints are: A > B, C < D (D > C), B > D, and E is between A and B. Combining these: A > E > B > D > C.
Verify final order
Stacking the results: 1:A, 2:E, 3:B, 4:D, 5:C, 6:F. Book A is at the top (position 1).
B: Incorrect because B is at position 3, below E and A. C: Incorrect because C is at position 5, just above the bottom book F. D: Incorrect because D is at position 4, below A, E, and B.
A is correct because when all given constraints are chained (A > E > B > D > C) and F is placed at the absolute bottom, A occupies the highest position.
In ranking and ordering puzzles, always look for the 'extreme' elements (top/bottom or first/last) first to anchor your arrangement before filling in the middle.