Statements: H ≥ Q > J ≤ L < R; F < P ≥ Q > T ≥ U

Conclusions : I. H > U II. J < F

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

The correct answer is: If only conclusion I is true.

To determine the validity of the conclusions, let us analyze the given statements step-by-step.

Given Statements:
1. $H\ge Q>J\le L<R$
2. $F<P\ge Q>T\ge U$

Analysis of Conclusion I: $H>U$
To find the relationship between H and U, we can combine parts of the two statements using the common term Q:
From Statement 1, we have: $H\ge Q$
From Statement 2, we have: $Q>T\ge U$
Combining these gives the chain:
$H\ge Q>T\ge U$
Since there is a strict inequality sign ($>$) in this path, we can conclude that:
$H>U$
Therefore, Conclusion I is true.

Analysis of Conclusion II: $J<F$
To find the relationship between J and F, we connect them through the common term Q:
From Statement 1, we have: $J<Q$
From Statement 2, we have: $F<P\ge Q$
This means that both F and Q are smaller than or equal to P (i.e., $F<P$ and $Q\le P$). Because the inequality signs face opposite directions between F and Q, no definite relationship can be established between F and Q. As a result, we cannot determine any definite relation between J and F.
Therefore, Conclusion II is not true.

Conclusion:
Since only Conclusion I is logically valid, the correct choice is: If only conclusion I is true.