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.

Which of the following statement(s) is/are not true?
I. No box is kept below box A
II. Box B is kept below box G
III. Even number of boxes are kept below box B

Let us determine the arrangement of the seven boxes from top (position 7) to bottom (position 1) based on the given clues:

1. Box B is kept two boxes above box F and only two boxes are kept between box A and box F. This gives two possible relative orderings:
- Case A: A is below F. The order from top to bottom is B (position x + 5), followed by one box, F (position x + 3), two boxes, and A (position x).
- Case B: A is above F. The order from top to bottom is A (position y + 3), B (position y + 2), followed by one box, and F (position y).

2. Only three boxes are kept between box B and box G:
- In Case A: Since B is at position x + 5, G must be at position (x + 5) - 4 = x + 1.
- In Case B: Since B is at position y + 2, G must be at position (y + 2) - 4 = y - 2.

3. Let us test Case A with x = 1 (A at the bottom-most position 1):
- Position 1: A
- Position 2: G (since G = x + 1 = 2)
- Position 3: Empty
- Position 4: F (since F = x + 3 = 4)
- Position 5: Empty
- Position 6: B (since B = x + 5 = 6)
- Position 7: Empty

4. Now we use the clue: "The number of boxes kept above box G is one more than the number of boxes kept below box C."
- The number of boxes above G (position 2) is 5 (which are positions 3, 4, 5, 6, and 7).
- Therefore, the number of boxes below C must be 5 - 1 = 4. This means C is at position 5.
- We place C at position 5.

5. Next, "Box D is kept two boxes below box C."
- Since C is at position 5, D is placed at position 5 - 2 = 3.
- Now, the only remaining empty position 7 must be filled by box E.

6. Let us verify the condition: "Box E does not kept below box D."
- E is at position 7 and D is at position 3. Since E is above D, this condition is satisfied.

Thus, the final stack arrangement from top (7) to bottom (1) is:
Position 7: E
Position 6: B
Position 5: C
Position 4: F
Position 3: D
Position 2: G
Position 1: A

Now, let us evaluate the statements to find which are not true:
- I. No box is kept below box A: Since A is at position 1, there are indeed 0 boxes below it. This statement is True.
- II. Box B is kept below box G: B is at position 6 and G is at position 2. Since B is above G, this statement is Not True.
- III. Even number of boxes are kept below box B: There are 5 boxes (at positions 1, 2, 3, 4, and 5) below box B. Since 5 is an odd number, this statement is Not True.

Therefore, the statements that are not true are Both II and III.