Consider the following statements: 1. A is older than B. 2. C and D are of the same age. 3. E is the youngest. 4. F is younger than D. 5. F is older than A. How many statements given above are required to determine the oldest person/persons?

1. A. Only two
2. B. Only three
3. C. Only four
4. D. All five

Answer: D

Explanation

To determine the oldest person, we need to establish the complete relative age order of all individuals. Let’s combine the statements:
1. A > B
2. C = D
3. E is the youngest (E F
5. F > A

Combining (1) and (5): F > A > B.
Combining this with (2) and (4): C = D > F > A > B.
Finally, incorporating (3): C = D > F > A > B > E.
This complete sequence shows that C and D are the oldest. Each statement provides a unique and essential link in establishing this order. Removing any one statement would break a link and prevent the definitive identification of the oldest person(s). Therefore, all five statements are required.