Study the following information carefully and answer the questions given below.

Seven boxes- A, B, C, D, E, F and G are kept one above another in a single stack but not necessarily in the same order.
Only two boxes are kept between box A and box F. Box B is kept two boxes above box F. Only three boxes are kept between box B and box G. The number of boxes kept above box G is one more than the number of boxes kept below box C. Box D is kept two boxes below box C. Box E does not kept below box D.

How many boxes are kept between box E and box D?

Based on the provided information, we can determine the step-by-step arrangement of the boxes from top to bottom (numbered 7 down to 1).

Let us analyze the clues systematically:
1. "Only two boxes are kept between box A and box F." This means the relative position is either A _ _ F or F _ _ A.
2. "Box B is kept two boxes above box F." This gives the relative order: B _ F.
3. "Only three boxes are kept between box B and box G."
4. "The number of boxes kept above box G is one more than the number of boxes kept below box C."
5. "Box D is kept two boxes below box C." This means: C _ D.
6. "Box E does not kept below box D." This means E must be placed somewhere above D.

Let's combine the positions of B, F, A, and G. If we place them such that F is above A with two boxes in between, we have the stack:
Position 6: B
Position 5: C
Position 4: F
Position 3: D
Position 2: G
Position 1: A
Position 7: E

Let's verify this arrangement against all constraints:
- There are exactly two boxes (G and D) between A (1) and F (4).
- Box B (6) is two boxes above box F (4).
- There are exactly three boxes (F, D, and G) between B (6) and G (2).
- The number of boxes above G (2) is 5 (E, B, C, F, D). The number of boxes below C (5) is 4 (F, D, G, A).

We can write this relation as:

$5=4+1$

This matches the rule that the number of boxes above G is one more than the boxes below C.
- Box D (3) is kept two boxes below box C (5).
- Box E (7) is kept above box D (3), so E is not kept below D.

The final order of the boxes from top to bottom is:
7. E
6. B
5. C
4. F
3. D
2. G
1. A

To find the number of boxes kept between box E (7) and box D (3), we count the boxes at positions 6, 5, and 4, which are B, C, and F.

Therefore, there are exactly 3 boxes kept between box E and box D.