Q8. 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?
Detailed Solution
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 < all others) 4.
D > 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.
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