Statements: S < Q > G = D > H; M > T < H; S ≤ E > N < J

Conclusions : I. T < G II. D ≤ E

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:

Correct Answer: If only conclusion I is true

Step-by-step Explanation:

Let us analyze the given statements and check the validity of each conclusion step-by-step.

Given Statements:

1. S < Q > G = D > H

2. M > T < H

3. S ≤ E > N < J

Analysis of Conclusion I: T < G

To find the relationship between T and G, we combine the relevant statements that connect T and G:

From statement 1, we have: G = D > H, which means $G>H$.

From statement 2, we have: T < H, which means $H>T$.

Combining these two relationships: G > H > T.

Therefore, we can clearly conclude that $G>T$, which is equivalent to $T<G$.

Thus, Conclusion I is TRUE.

Analysis of Conclusion II: D ≤ E

To find the relationship between D and E, let us trace the path between D and E:

From statement 1, we know D is connected to S: S < Q > G = D.

From statement 3, S is connected to E: S ≤ E.

Looking at the path from E to D through S and Q: E ≥ S < Q > G = D.

Notice the opposite inequality symbols between E and D (specifically, E ≥ S and S < Q). When opposite comparison symbols exist in the path, no definite relationship can be established between the elements E and D.

Thus, Conclusion II is FALSE.

Conclusion:

Since only Conclusion I is true, the correct option is If only conclusion I is true.