Nine boxes A, B, C, D, E, F, G, H, I are stacked one above the other in a single column, but not necessarily in the given order. Using the following clues, determine the position of box E from the top:

- At most two boxes are placed above box A.
- Two boxes are placed between box A and box H.
- Box E is adjacent to box H.
- The number of boxes between box A and box E is two less than the number of boxes between box E and box G.
- Box B is placed immediately above box D, which is two places above box C.
- Box F is placed two places above box I.

What is the position of box E from the top?

Question

Nine boxes A, B, C, D, E, F, G, H, I are stacked one above the other in a single column, but not necessarily in the given order. Using the following clues, determine the position of box E from the top:

- At most two boxes are placed above box A.
- Two boxes are placed between box A and box H.
- Box E is adjacent to box H.
- The number of boxes between box A and box E is two less than the number of boxes between box E and box G.
- Box B is placed immediately above box D, which is two places above box C.
- Box F is placed two places above box I.

What is the position of box E from the top?

Accepted Answer

**Solution:**

1. Since at most two boxes are above box A, box A can be at position 2 or 3 from the top.

2. Two boxes are between A and H, so if A is at position 2, H would be at position 5 or vice versa.

3. Box E is adjacent to H, so E must be either just above or just below H.

4. The number of boxes between A and E is two less than the number of boxes between E and G.

5. Box B is immediately above D, and D is two places above C, so the order is B, D, then two boxes below is C.

6. Box F is two places above I.

By arranging the boxes according to these clues, the order from top to bottom is:

- F (1st)
- A (2nd)
- I (3rd)
- E (4th)
- H (5th)
- B (6th)
- D (7th)
- G (8th)
- C (9th)

Therefore, box E is in the **fourth** position from the top.

**Answer:** Fourth

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