If A is heavier than B, C is lighter
than D, E is heavier than D but
lighter than B, who among them is
the heaviest?

Question

If A is heavier than B, C is lighter
 than D, E is heavier than D but
 lighter than B, who among them is
 the heaviest?

Accepted Answer

To determine who among A, B, C, D, and E is the heaviest, we need to analyze the given information step by step: 1. **A is heavier than B**: This means A > B. 2. **C is lighter than D**: This means C < D. 3. **E is heavier than D but lighter than B**: This means D < E < B. Now, let's analyze the information: - From the statement "A is heavier than B," we know that A > B. - From the statement "E is heavier than D but lighter than B," we have D < E < B. - Since A > B, and E < B, it follows that A > E. - We also know that C < D, but this does not directly affect the comparison between A, B, and E. Based on the above deductions, we can conclude: - A is heavier than B. - A is also heavier than E, as E is lighter than B and A is heavier than B. - There is no information suggesting that D or C is heavier than A. Therefore, A is the heaviest among A, B, C, D, and E. **Explanation for why other options are incorrect:** 1. **Option 1 (B)**: B cannot be the heaviest because A is heavier than B (A > B). 2. **Option 2 (D)**: D cannot be the heaviest because E is heavier than D (E > D), and both B and A are heavier than E (B > E and A > B). 3. **Option 3 (E)**: E cannot be the heaviest because B is heavier than E (B > E), and A is heavier than B (A > B). Thus, the correct answer is Option 4, which states that A is the heaviest.