Consider the following statements :
1. A is older than B.
2. C and D are of the same age.
3. E is the youngest

Question

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 ?

Accepted Answer

To find the oldest person, we must analyze the relationships provided in all five statements:

From Statement 1, A is older than B.
From Statement 2, C and D are the same age.
From Statement 3, E is the youngest.
From Statement 4, D is older than F.
From Statement 5, F is older than A.

By combining these, we establish a chronological order: C and D are the same age, and they are older than F. F is older than A, and A is older than B. Finally, E is the youngest.

The full sequence is C equals D, which are older than F, who is older than A, who is older than B, who is older than E.

To determine that C and D are the oldest, we need every piece of information. For example, without Statement 2, we would not know C exists or how D relates to C. Without Statement 4 and 5, we cannot link the group of C and D to the group of A and B. Statement 3 is necessary to ensure E is not the oldest. Therefore, all five statements are required.

Answer

Only two

Answer

Only three

Answer

Only four

Answer

All five

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 ?

Explanation

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