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A is taller than B, but shorter than C. D is shorter than A but taller than E. Who is the tallest?
A
B
C
D
C
Represent the statements as a single inequality chain: C > A > B and A > D > E. Combine them to find C > A > D > E > B.
Represent the statements as a single inequality chain: C > A > B and A > D > E. Combine them to find C > A > D > E > B.
Analyze the first statement
A is taller than B, but shorter than C. This can be written as C > A > B.
Analyze the second statement
D is shorter than A but taller than E. This can be written as A > D > E.
Combine the inequalities
Combining C > A > B and A > D > E gives the complete sequence: C > A > D > E > B. Thus, C is the tallest.
A: A is shorter than C. B: B is the shortest person in the group. D: D is shorter than both C and A.
C is correct because combining the height inequalities C > A > B and A > D > E clearly identifies C as the tallest individual.
For ranking puzzles, always place the subjects on a vertical line or inequality chain to instantly spot the extremes.