Question
Download Solution PDFFive boxes A, B, C, D and E are kept one over the other but not necessarily in the same order. A is kept third from the bottom. Only one box is kept between A and B. There are only three boxes between D and B. C is placed immediately above B. How many boxes are placed between A and D?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement: Five boxes A, B, C, D and E are kept one over the other but not necessarily in the same order.
I. A is kept third from the bottom.
| Case - 1 | |
| Floor | Box |
| 5 | |
| 4 | |
| 3 | A |
| 2 | |
| 1 | |
II. Only one box is kept between A and B.
| Case - 1 | Case - 2 | ||
| Floor | Box | Floor | Box |
| 5 | 5 | B | |
| 4 | 4 | ||
| 3 | A | 3 | A |
| 2 | 2 | ||
| 1 | B | 1 | |
III. There are only three boxes between D and B.
| Case - 1 | Case - 2 | ||
| Floor | Box | Floor | Box |
| 5 | D | 5 | B |
| 4 | 4 | ||
| 3 | A | 3 | A |
| 2 | 2 | ||
| 1 | B | 1 | D |
IV. C is placed immediately above B. If B is on the top, no box can be placed above it, thus Case 2 gets eliminated here.
| Case - 1 | |
| Floor | Box |
| 5 | D |
| 4 | |
| 3 | A |
| 2 | C |
| 1 | B |
Thus, the final arrangement is:
| Floor | Box |
| 5 | D |
| 4 | E |
| 3 | A |
| 2 | C |
| 1 | B |
Therefore, there is only 1 box between A and D, i.e., E.
Hence, the correct answer is Option (1).
Last updated on Jul 17, 2025
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