Vertical Box Arrangement Puzzle Solution

This solution explains the logical steps to determine the box at the bottom of a vertical arrangement.

Analyzing the Box Arrangement Clues

We need to find the position of five boxes (A, B, C, D, E) arranged vertically based on these clues:

• There are five positions from top (1) to bottom (5).
• Clue 1: Exactly one box is below box C.
• Clue 2: Exactly two boxes are between D and C.
• Clue 3: Box E is in the 2nd position from the top.
• Clue 4: Exactly two boxes are above box A.

Step-by-Step Deduction for Box Placement

Let's determine the arrangement step by step:

1. Positioning E: Clue 3 states E is second from the top. So, E is at position 2.

   Arrangement: [ _ , E , _ , _ , _ ] (Positions 1 to 5)

2. Positioning A: Clue 4 states two boxes are above A. This means A must be at position 3.

   Arrangement: [ _ , E , A , _ , _ ]

3. Positioning C: Clue 1 states one box is below C. With A at position 3 and E at 2, C cannot be above A. If C were at 5, no box would be below it. If C were at 2 or 3, it would conflict with E or A. Therefore, C must be at position 4.

   Arrangement: [ _ , E , A , C , _ ]

4. Positioning D: Clue 2 states two boxes are between D and C. Since C is at position 4, and positions 2 (E) and 3 (A) are between position 1 and 4, D must be at position 1.

   Arrangement: [ D , E , A , C , _ ]

5. Positioning B: The only remaining box is B, and the only available position is 5 (the bottom).

   Final Arrangement (Top to Bottom): [ D , E , A , C , B ]

Final Arrangement and Bottom Box

The deduced vertical arrangement from top to bottom is D, E, A, C, B.

Therefore, Box B is at the bottom.

Arrangement Summary Table