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 box is kept at the bottom-most position?

The correct answer is Box A.

Let us determine the correct order of the boxes from top to bottom (numbered 7 to 1) step-by-step:

Step 1: Analyze the relationship between A, B, and F
- "Box B is kept two boxes above box F." This means B is at some position $x+2$ and F is at position $x$ (arranged as B, [box], F).
- "Only two boxes are kept between box A and box F." This gives two possible arrangements:
  • Case 1: A is above F. With two boxes between them, the order becomes A, B, [box], F (occupying 4 positions).
  • Case 2: A is below F. With two boxes between them, the order becomes B, [box], F, [box], [box], A (occupying 6 positions).

Step 2: Incorporate Box G
- "Only three boxes are kept between box B and box G."
Let us test Case 2 (B, [box], F, [box], [box], A) where the 6 boxes are placed at positions 6 to 1:
  • Position 6: B
  • Position 5: [box]
  • Position 4: F
  • Position 3: [box]
  • Position 2: G (since there must be exactly three boxes between B and G: positions 5, 4, and 3)
  • Position 1: A
This arrangement is valid and leaves position 7 empty.

Step 3: Place boxes C, D, and E
- "The number of boxes kept above box G is one more than the number of boxes kept below box C."
Since G is at position 2, there are 5 boxes above G (positions 7, 6, 5, 4, 3).
Therefore, the number of boxes below C must be:
$5-1=4$
For there to be exactly 4 boxes below C, C must be placed at position 5.
- "Box D is kept two boxes below box C."
Since C is at position 5, D must be at position 3 (two positions below C).
- "Box E does not kept below box D."
This leaves the top-most position 7 for Box E. Since E (7) is above D (3), this condition is satisfied.

Final Arrangement (from top to bottom):
7. Box E
6. Box B
5. Box C
4. Box F
3. Box D
2. Box G
1. Box A

As shown in the final arrangement, Box A is kept at the bottom-most position.