Direction: Answer the questions on the basis of the information give...
Given Information:
Nine boxes - N, P, Q, R, S, T, U, V, and W - are placed one above the other but not necessarily in the same order.
- Three boxes are placed between S and Q.
- Two boxes are placed between T and Q.
- Two boxes are placed between P and W.
- W is placed immediately below Q.
- Two boxes are placed between R and V.
- Two boxes are placed between P and U.
- Box V is not placed at the bottom, whereas box N is placed at the topmost position.
Analysis:
We need to determine which boxes are placed immediately above and immediately below box T.
Solution:
1. Start by analyzing the given information step by step.
2. From the given information, we know that there are two boxes between T and Q. Therefore, T and Q cannot be adjacent to each other.
3. Since W is placed immediately below Q, T cannot be placed below Q.
4. Since W is not at the bottom, it must be placed somewhere above Q.
5. From the given information, we know that there are three boxes between S and Q. Therefore, S cannot be placed below Q.
6. Since T cannot be placed below or adjacent to Q, and S cannot be placed below Q, the only possibility is that T is placed above Q and S is placed below Q.
7. Now, we have T and Q in the correct order, with S below Q.
8. From the given information, we know that there are two boxes between P and W. Therefore, P cannot be placed immediately above or below W.
9. Since there are two boxes between P and U, U cannot be placed immediately above or below P.
10. From the given information, we know that there are two boxes between R and V. Therefore, R cannot be placed immediately above or below V.
11. Since V is not at the bottom, it must be placed somewhere above R.
12. Now, we have the following arrangement: N, ?, ?, P, U, ?, ?, R, V, ?, ?, T, Q, S, W.
13. From the given information, we know that N is placed at the topmost position and W is placed immediately below Q. Therefore, N must be placed above W.
14. Now, we have the following arrangement: N, ?, ?, P, U, ?, ?, R, V, ?, ?, T, Q, S, W.
15. From the given information, we know that there are two boxes between P and U. Therefore, the only possibility is that U is placed immediately below P.
16. Now, we have the following arrangement: N, ?, ?, P, U, ?, ?, R, V, ?, ?, T, Q, S, W.
17. From the given information, we know that there are two boxes between R and V. Therefore, the only possibility is that V is placed immediately below R.
18. Now, we have the following arrangement: N, ?, ?, P, U, ?, ?, R, V, ?, ?, T, Q, S, W.
19. From the given information, we know that there are two boxes between P and W. Therefore, the only possibility is that W is placed immediately below P.
20. Now, we have the following arrangement: N, ?, ?, P