Directions: In the following question, relationships between various elements are depicted in the given statements. These statements are followed by two conclusions. Analyze the statements to determine which of the conclusions logically follow(s):

Statements: A > B ≥ C = D < E, F ≤ G = C > H
Conclusions:
I. A > F
II. E ≤ H

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

Given Statements:
1. A > B ≥ C = D < E
2. F ≤ G = C > H

Analysis of Conclusion I (A > F):
To evaluate Conclusion I, we examine the relationship between A and F by linking the given statements through the common element C:
From Statement 1: A > B ≥ C
From Statement 2: F ≤ G = C, which implies C = G ≥ F
Combining these relations gives: A > B ≥ C = G ≥ F.
Comparing A and F across the statement boundaries, the strict inequality A > F cannot be conclusively established as an absolute logical certainty.
Therefore, Conclusion I does not logically follow.

Analysis of Conclusion II (E ≤ H):
To evaluate Conclusion II, we analyze the relationship between E and H using element C:
From Statement 1: C = D < E, which means E > C.
From Statement 2: C > H.
Combining these relations via C yields: E > C > H.
This chain shows that E is strictly greater than H (E > H).
Because E > H is established, the proposed conclusion E ≤ H is false.
Therefore, Conclusion II does not logically follow.

Conclusion:
Since neither Conclusion I nor Conclusion II logically follows, the correct option is If neither conclusion I nor II is true.