Consider the following statements: 1. A is older than B. 2. C and D are of the same age. 3. E is the…
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?
Only two
Only three
Only four
All five
Solution
From statements: A > B, C = D, E youngest, D > F, F > A. So D > F > A > B and C = D. The oldest are C and D. To establish that no one is older than C and D, all five statements are needed to fix the ordering. Hence all five statements are required.