1. **Stating the problem:** We have eight boxes stacked one above the other: J, N, M, Q, L, K, O, P. We need to find which box is immediately above box P. 2. **Given conditions:** - Box J is immediately above N. - Three boxes are between M and N, with N above M. - Two boxes are between M and Q. - Four boxes are between L and K. - Box O is below box P. - No boxes are between Q and L. 3. **Step-by-step arrangement:** - Since J is immediately above N, their positions are consecutive: J above N. - N is above M with three boxes between them, so positions differ by 4. - Two boxes between M and Q means positions differ by 3. - No boxes between Q and L means Q and L are consecutive. - Four boxes between L and K means positions differ by 5. - O is below P. 4. **Assign positions from top (1) to bottom (8):** Let’s try to place N and J first: - Suppose N is at position $x$, then J is at $x-1$ (immediately above). 5. **N is above M with three boxes between:** - So if N is at $x$, M is at $x+4$. 6. **Two boxes between M and Q:** - So if M is at $x+4$, Q is at $x+7$ or $x+1$ (but $x+7$ exceeds 8, so $x+1$). 7. **No boxes between Q and L:** - Q and L are consecutive, so if Q is at $x+1$, L is at $x$ or $x+2$. 8. **Four boxes between L and K:** - Positions differ by 5. 9. **Try $x=3$:** - N at 3, J at 2. - M at 7 (3+4). - Q at 4 (M at 7, two boxes between M and Q means positions differ by 3, so Q at 4). - L at 5 (Q and L consecutive). - K at 1 (L at 5, K at 1, difference 4, but need 5 boxes between, so difference 6, no). 10. **Try $x=2$:** - N at 2, J at 1. - M at 6. - Q at 3 or 9 (9 invalid). - Q at 3. - L at 4. - K at 8 (L at 4, K at 8, difference 4, need 5 boxes between, so difference 6, no). 11. **Try $x=1$:** - N at 1, J at 0 (invalid). 12. **Try $x=4$:** - N at 4, J at 3. - M at 8. - Q at 5 or 1. - Q at 1 (since 5 would be between 8 and 5 is 3 boxes, but 8 is max). - L at 2 (Q and L consecutive). - K at 7 (L at 2, K at 7, difference 5, four boxes between). 13. **Positions so far:** - 1: Q - 2: L - 3: J - 4: N - 5: ? - 6: ? - 7: K - 8: M 14. **O is below P:** - Remaining boxes: O, P - Positions 5 and 6 left. - Since O is below P, P must be at 5 and O at 6. 15. **Final stack from top (1) to bottom (8):** Q, L, J, N, P, O, K, M 16. **Answer:** The box immediately above P (position 5) is N (position 4). **Final answer: N**