Among five persons A, B, C, D and E, A is shorter than B but taller than E. C is the tallest. D is shorter than B but taller than A. Who among them is shortest ?

Question

Accepted Answer

To determine who among the five persons A, B, C, D, and E is the shortest, we need to analyze the given information about their heights:

1. A is shorter than B but taller than E.
2. C is the tallest.
3. D is shorter than B but taller than A.

Let's break down the information:

- Since C is the tallest, C cannot be the shortest.
- A is taller than E, which means E is shorter than A.
- D is taller than A, which means A cannot be the shortest.
- B is taller than A, and since D is shorter than B, B cannot be the shortest.

From the above deductions, we can conclude that E is the shortest because:

- A is taller than E.
- D is taller than A, and therefore also taller than E.
- B is taller than A, and therefore also taller than E.
- C is the tallest, so C is definitely not the shortest.

Thus, the correct answer is Option 4: E.

Explanation of why other options are incorrect:

1. Option 1 (B): B is taller than A, and since A is not the shortest, B cannot be the shortest.
2. Option 2 (A): A is taller than E, so A cannot be the shortest.
3. Option 3 (D): D is taller than A, and since A is not the shortest, D cannot be the shortest.

Therefore, the only logical conclusion is that E is the shortest, supporting Option 4 as the correct answer.