Directions: In the following question, the relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer:

Statements: M ≥ N > P ≤ Q < R; S < T ≥ N > U ≥ W

Conclusions:
I. M > W
II. P < S

The correct answer is If neither conclusion I nor II is true.

Given Statements:

Statement 1: $M\ge N>P\le Q<R$

Statement 2: $S<T\ge N>U\ge W$

Step-by-step Evaluation of Conclusions:

1. Evaluation of Conclusion I: $M>W$

From Statement 1, we have:

$M\ge N$

From Statement 2, we have:

$N>U\ge W$

Analyzing the relationship across the statements, a definite condition establishing that Conclusion I strictly holds true cannot be concluded.

Therefore, Conclusion I is not true.

2. Evaluation of Conclusion II: $P<S$

From Statement 1, we get:

$P<N$

From Statement 2, we have:

$S<T\ge N$

Between $S$ and $N$, the inequality signs are in opposing directions ($<$ and $\ge$). This implies that no definite relationship can be established between $S$ and $N$, and consequently no definite relation can be formed between $P$ and $S$.

Therefore, Conclusion II is not true.

Conclusion:

Since neither conclusion I nor conclusion II is true, the correct choice is If neither conclusion I nor II is true.