Question
Download Solution PDFSeven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. No box is kept above F. Only three boxes are kept between F and B. Only one box is kept between G and D. D is kept immediately above B. Only four boxes are kept between G and C. A is kept in some place above E. How many boxes are kept below D?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order.
1) No box is kept above F.
This means F is the topmost box (Position 7).
2) Only three boxes are kept between F and B.
3) D is kept immediately above B.
| 7 | F |
| 6 | |
| 5 | |
| 4 | D |
| 3 | B |
| 2 | |
| 1 |
4) Only one box is kept between G and D.
Let's consider two cases:
Case 1: G is at 2
| 7 | F |
| 6 | |
| 5 | |
| 4 | D |
| 3 | B |
| 2 | G |
| 1 |
Case 2: G is at 6
| 7 | F |
| 6 | G |
| 5 | |
| 4 | D |
| 3 | B |
| 2 | |
| 1 |
5) Only four boxes are kept between G and C.
Consider Case 1 (G is at 2): If G is at 2, and there are 4 boxes between G and C, then C must be at 7 However, F is already at 7. So, Case 1 is not possible.
Consider Case 2 (G is at 6): If G is at 6, and there are 4 boxes between G and C, then C must be at 1 (6 - 4 - 1 = 1).
6) A is kept in some place above E.
| 7 | F |
| 6 | G |
| 5 | A |
| 4 | D |
| 3 | B |
| 2 | E |
| 1 | C |
Thus, there are 3 boxes kept below D.
Hence, the correct answer is "Option 1".
Last updated on Jul 19, 2025
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