Given Data

1. Five friends A, B, C, D, and E have different heights.
2. A is taller than B but shorter than C.
3. D is taller than C but shorter than E.

Question

Who is the tallest among the five friends?

Answer

E.

Solution

1. Translate statements into inequalities: A > B, C > A, D > C, and E > D.
2. Combine inequalities into a single chain: E > D > C > A > B.
3. From the chain, E is at the top of the ordering.
4. Therefore, E is the tallest among the friends.