Question:

\(J,D,H,K\) and \(T\) are friends. \(J\) is shorter than \(D\), but taller than \(T\). \(H\) is the tallest. \(K\) is a little shorter than \(D\) and a little taller than \(J\). Who is the shortest?

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For comparison questions, arrange all given persons in increasing or decreasing order.
  • \(J\)
  • \(K\)
  • \(H\)
  • \(T\)
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The Correct Option is D

Solution and Explanation

Concept:
This is a height comparison question. We arrange all persons from tallest to shortest according to the given information.

Step 1: Use the first condition.
\[ J\text{ is shorter than }D \] So, \[ D>J \] Also, \[ J\text{ is taller than }T \] So, \[ J>T \] Therefore, \[ D>J>T \]

Step 2: Use the second condition.
\[ H\text{ is the tallest} \] So \(H\) is above everyone. \[ H>\text{all others} \]

Step 3: Use the third condition.
\[ K\text{ is a little shorter than }D \] So, \[ D>K \] Also, \[ K\text{ is a little taller than }J \] So, \[ K>J \] Thus, \[ D>K>J \]

Step 4: Combine all information.
We get the order: \[ H>D>K>J>T \]

Step 5: Identify the shortest.
The shortest person is at the end of the order: \[ T \]

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