In five friends, A scores more run than C but less than D, B scores more than D but less than E. Who scores the maximum runs ?

Question

Accepted Answer

To determine who scores the maximum runs among the five friends, we need to analyze the given information and logically deduce the correct answer, which is Option 4: E.

1. **Explanation for Option 4 (E) as the Correct Answer:**

- According to the information, A scores more runs than C but less than D. This can be represented as: C < A < D.
   - It is also stated that B scores more than D but less than E. This can be represented as: D < B < E.
   - From these inequalities, we can deduce the following order of scores: C < A < D < B < E.
   - Since E is at the end of this sequence, E scores the maximum runs among the five friends.

2. **Explanation for Why Each of the Other Options is Incorrect:**

- **Option 1 (C):** C scores the least among the friends as per the given information (C < A < D < B < E). Therefore, C cannot be the one with the maximum runs.
   
   - **Option 2 (B):** Although B scores more than D, B scores less than E (D < B < E). Hence, B cannot be the one with the maximum runs.
   
   - **Option 3 (D):** D scores more than A and C but less than B and E (C < A < D < B < E). Therefore, D cannot be the one with the maximum runs.

By following the logical sequence derived from the given information, it is clear that E scores the maximum runs, which supports Option 4 as the correct answer.