To solve this problem, we have a setup with seven boxes labeled A, B, C, D, E, F, and G, stacked one over the other. We need to determine the number of boxes above B using the given clues. Let's break down the clues step by step:
- Only three boxes are kept above A. This means A is the 4th box from the top. Thus, the positions above A (from the top) are 1st, 2nd, and 3rd boxes.
- Only one box is kept between F and A. Since A is the 4th box, the possible positions for F are the 2nd (if F is above A) or the 6th (if F is below A). Initially, let's consider F in the 2nd position (above A) for convenience.
- Only three boxes are kept between F and E. If F is in the 2nd position and there must be three boxes between F and E, then E would be in the 6th position.
- E is kept at some place above A. Our previous assumption about E being in the 6th position is inconsistent since it doesn't fit the condition of E being above A. Therefore, F cannot be in the 2nd position. Let's consider F to be in the 6th position instead.
- Given that F is in the 6th position, and there are three boxes between F and E, E must be placed at the 2nd position.
- B is immediately below E, so B is in the 3rd position.
- G is kept at one of the places above D. To fit this, G must be in the 1st position, and D can be in the 7th position.
- C is not kept immediately above or below F. Since F is in the 6th position, C cannot be in the 5th or 7th positions. This leaves C to be in the 5th position.
Now let's stack these boxes in a sequence from top to bottom:
| Position | Box |
| 1 | G |
| 2 | E |
| 3 | B |
| 4 | A |
| 5 | C |
| 6 | F |
| 7 | D |
Therefore, above box B, we have 2 boxes (G and E).
Conclusion: There are 2 boxes above B.
Important Questions from Box Puzzle
Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Only four boxes are kept between C and F. Only A is kept above C. Only two boxes are kept between D and E. G is kept immediately above B. E is not kept immediately above G. How many boxes are kept above G?
Seven boxes F, G, H, I, K, L, and O are kept one over the other but not necessarily in the same order. Only three boxes are kept below H. Only two boxes are kept between H and O. Only L is kept above G. F is kept at some place below I and at some place above K. Which box is kept at second position from the bottom?
- Seven boxes F, G, H, M, N, O and P are kept one over the other but not necessarily in the same order. Only two boxes are kept below O. Only one box is kept above N. Only one box is kept between N and H. G is kept immediately above M. F is kept at some place below P. How many boxes are kept between P and G?
- Seven boxes A, B, C, D, E, F, and G are kept one over the other but not necessarily in the same order. Only four boxes are kept between A and E. Only G is kept above A. Only two boxes are kept between B and C. D is kept immediately above F. C is not kept immediately above D. How many boxes are kept above D?
- Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Only two boxes are kept between G and A. Only F is kept above B. No box is kept below A. E is kept at some place below C but at some place above D. How many boxes are kept between D and F?
