Question 88

Logical Reasoning Puzzles Medium

Six boys \( A, B, C, D, E \) and \( F \) are marching in a line. They are arranged according to their heights, the tallest being at the back and the shortest in the front. \( F \) is between B and \( A \) . \( E \) is shorter than D but taller than \( C \) who is taller than \( A \) . \( E \) and \( F \) have two boys between them A is not the shortest among them. Where is \( E \) ?

(A) Between A and B
(B) Between C and A
(C) Between D and C
(D) In front of \( C \)
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Quick Solution

To solve this puzzle, we need to combine all the clues to create a single height ranking of the six boys from shortest to tallest. Let's use the `>` symbol to mean "is taller than".


1. Combining the Clues to Find the Order

  1. The main clue gives us the core of the ranking: "E is shorter than D but taller than C" (D > E > C) and "C who is taller than A" (C > A). Combining these gives a direct chain of four boys: D > E > C > A.
  2. Next, we place F and B using the clue: "F is between B and A". In our current ranking, A is the shortest of the four. For F to be between A and another boy B, both F and B must be shorter than A. This gives us the order: A > F > B.
  3. We can now merge our two chains to get the complete order from tallest to shortest:

    D > E > C > A > F > B

  4. We can verify this with the final clues: "A is not the shortest" (Correct, B is the shortest) and "E and F have two boys between them" (Correct, C and A are between E and F). The ranking is valid.

2. Answering the Question

The question asks "Where is E?". We need to describe his position relative to the others based on our final ranking:

... D > E > C ...

This shows that E is shorter than D but taller than C.


Final Answer: E is Between D and C.

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