Statements: P < O = R ≥ H > G = U > K ≥ W

Conclusions:
I. O > U
II. R > W

In these questions, 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:

The correct option is If both conclusions I and II are true.

Let's analyze the given inequality statement step-by-step to evaluate each conclusion:

The given statement is:

$P<O=R\ge H>G=U>K\ge W$

Evaluating Conclusion I:

$O>U$

To find the relationship between the elements $O$ and $U$, we trace the path connecting them in the given statement:

$O=R\ge H>G=U$

Analyzing the inequality signs between $O$ and $U$ (which are $=$, $\ge$, $>$, and $=$), the presence of the strict greater-than inequality sign ($>$) guarantees that:

$O>U$

Therefore, Conclusion I is true.

Evaluating Conclusion II:

$R>W$

To find the relationship between the elements $R$ and $W$, we trace the path connecting them in the given statement:

$R\ge H>G=U>K\ge W$

Analyzing the inequality signs between $R$ and $W$ (which are $\ge$, $>$, $=$, $>$, and $\ge$), the presence of the strict greater-than inequality signs ($>$) guarantees that:

$R>W$

Therefore, Conclusion II is also true.

Since both conclusions I and II are verified to be true, the correct choice is If both conclusions I and II are true.