Let's break down the given statement and conclusions step by step:

Statement Analysis:

1. J ≤ Q = F > M:

   • This tells us that J is less than or equal to Q, Q is equal to F, and F is greater than M. So, we have:
     J ≤ Q = F > M.

2. S < B ≥ Z > Q:

   • This implies S is less than B, B is greater than or equal to Z, and Z is greater than Q. So, we have:
     S < B ≥ Z > Q.

3. T > A > B ≤ W:

   • This implies T is greater than A, A is greater than B, and B is less than or equal to W. So, we have:
     T > A > B ≤ W.

Conclusions:

Conclusion-I: B ≥ M

• From the statement J ≤ Q = F > M, we can deduce that B ≥ Z > Q from the second part of the statement, but there is no direct comparison between B and M. Thus, we cannot conclusively say that B ≥ M.
  So, Conclusion-I does not follow.

Conclusion-II: T > Z

• From the statement T > A > B ≤ W and B ≥ Z, we cannot definitively conclude that T > Z because there is no direct relation between T and Z.
  So, Conclusion-II also does not follow.

Final Answer:

(d) Neither Conclusion-I nor Conclusion-II follows from the Statement.

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Would you like more details on how to analyze such problems? Or do you have any other questions?
Here are some related questions:

1. How do you compare elements in a series of inequalities?
2. What is the method to find the transitive relations in inequalities?
3. How can you deduce a valid conclusion from a complex logical statement?
4. What is the significance of equality in comparative inequalities?
5. Can there be situations where more than one conclusion can follow from a statement?

Tip: When dealing with statements and conclusions in inequalities, ensure to visualize them or break them down step by step. Sometimes, a systematic approach can reveal relationships not immediately obvious!