Nine boxes, M, N, O, P, Q, R, S, T and U, are kept one over the other, but not necessarily in the same order. P is kept at the fifth position from the top. Only three boxes are kept between P and N. N is not kept at the bottom. Only two boxes are kept between Q and N. Only S is kept between M and R. O is kept immediately below R. T is not kept immediately below N. How many boxes are kept exactly between U and S?
Four
Number the positions 1 (top) to 9 (bottom).
1. P is at 5. Three boxes lie between P and N, so N is at 1 or 9; N is not at the bottom, so N is at 1.
2. Two boxes lie between Q and N, so Q is at 4.
3. Only S lies between M and R, and O is immediately below R. The only run of four free positions is 6-9, so M 6, S 7, R 8, O 9.
4. T and U take 2 and 3; T is not immediately below N, so T at 2 and T is at 3, U at 2.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| N | U | T | Q | P | M | S | R | O |
Between U (2) and S (7) lie T, Q, P and M — four boxes.
Hence, the answer is Four.
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Important Questions from Box Puzzle
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