Question

Given five friends \(A,B,C,D,E\). \(A\) is shorter than \(B\). \(D\) is taller than \(B\). \(E\) is shorter than \(A\) but taller than \(C\). Who is the shortest?

• A. \(E\)
• B. \(C\)
• C. \(A\)
• D. \(D\)

Hint:

For comparison questions, write all inequalities and combine them into one order.

Answer 1

The Correct Option is B

Concept:
This is a comparison ordering question. We arrange the persons according to height.

Step 1: Use first statement. \[ A\text{ is shorter than }B \] So, \[ B>A \]

Step 2: Use second statement. \[ D\text{ is taller than }B \] So, \[ D>B \] Combining, \[ D>B>A \]

Step 3: Use third statement. \[ E\text{ is shorter than }A \] So, \[ A>E \] Also, \[ E\text{ is taller than }C \] So, \[ E>C \] Thus, \[ A>E>C \]

Step 4: Combine all. \[ D>B>A>E>C \]

Step 5: Identify the shortest. The shortest person is \[ C \]

Step 6: Final answer. \[ \boxed{C} \]