Read the following information carefully and answer the questions given below:

Nine boxes - A, B, C, D, E, F, G, H and I are kept one above another in a single stack, but not necessarily in the same order. Only one box is kept between box E and box G. Box I is kept three boxes above box G. Box E is kept four boxes below box H. As many boxes are kept between box H and box I as between box D and box E. Box E is kept above box D. Box F is kept immediately below box C. Only two boxes are kept between box A and box F. Box B is kept above box A.

How many boxes are kept above box A?

To find the number of boxes kept above box A, we can determine the exact top-to-bottom arrangement of the nine boxes (numbered 9 at the top down to 1 at the bottom) by analyzing the given clues systematically.

Step 1: Analyze the relationship between H, I, G, E, and D
1. Box I is kept three boxes above box G: If G is at position $x$, then I is at position $x+\; 3$.
2. Only one box is kept between box E and box G: This means E is either at $x+\; 2$ or $x-\; 2$.
3. Box E is kept four boxes below box H: This means H is at position $E+\; 4$.

Let's test the case where E is above G, so E is at $x+\; 2$:
- If E is at $x+\; 2$, then H is at $x+\; 6$.
- The boxes between H ($x+\; 6$) and I ($x+\; 3$) are at $x+\; 5$ and $x+\; 4$ (2 boxes).
- The clue states: "As many boxes are kept between H and I as between D and E." Thus, there must be 2 boxes between D and E.
- Since E is kept above D, D must be at position $E-\; 3\; =\; x\; -\; 1$.

This gives us the relative positions:
9: H
8: [empty]
7: [empty]
6: I
5: E
4: [empty]
3: G
2: D
1: [empty]
(Assuming G is at position 3, making the stack span from 1 to 9).

Step 2: Place the remaining boxes (C, F, A, and B)
1. Box F is kept immediately below box C: This requires two adjacent empty spots. In our stack, positions 8 and 7 are adjacent and vacant. Therefore, C is at 8 and F is at 7.
2. Only two boxes are kept between box A and box F: Since F is at 7, A must be at 4 (with positions 5 and 6 between them).
3. Box B is kept above box A: This leaves position 1 for B, which violates this condition because position 1 is below position 4.

Step 3: Adjust the stack base
If we shift the entire arrangement down by 1 position (so G is at position 2):
9: B (remaining box)
8: H
7: C
6: F
5: I
4: E
3: A
2: G
1: D

Let's verify all clues with this final configuration:
- One box between E (4) and G (2): Yes (Box A is at 3).
- I (5) is three boxes above G (2): Yes.
- E (4) is four boxes below H (8): Yes.
- Boxes between H (8) and I (5) is 2 (C and F). Boxes between D (1) and E (4) is 2 (G and A): Yes.
- E (4) is above D (1): Yes.
- F (6) is immediately below C (7): Yes.
- Two boxes between A (3) and F (6): Yes (E and I).
- B (9) is above A (3): Yes.

Conclusion:
Box A is at position 3. The boxes kept above box A are E, I, F, C, H, and B.
Therefore, there are exactly Six boxes kept above box A.