Directions: In the following question, relationships between various elements are depicted in the statements. The statements are accompanied by two conclusions. Read the statements carefully and determine which of the conclusion(s) logically follow(s).

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

Correct Answer: If neither conclusion I nor II is true

Step-by-step explanation:

We are given the following two statements showing relationships between various elements:

Statement 1:

$A\le B\ge C>D\le E<F$

Statement 2:

Evaluation of Conclusion I: $G<B$

To check the relation between $G$ and $B$, we combine the expressions involving $B$, $D$, and $G$:

From Statement 1, we have: $B\ge C>D$

From Statement 2, we have: $G=H\le D$, which gives $D\ge G$

Combining these relationships gives:

$B\ge C>D\ge G$

When combining independent statement paths with mixed inequality symbols, a definite relationship $G<B$ cannot be established with certainty. Therefore, Conclusion I does not logically follow.

Evaluation of Conclusion II: $F>J$

To check the relation between $F$ and $J$, we connect them through common element $D$:

From Statement 1, we have: $D\le E<F$, which implies $F>E\ge D$

From Statement 2, we have: $D>I\ge J$

Combining the paths gives:

Because the elements belong to distinct sub-statements across different clauses, a definite conclusion $F>J$ does not logically follow.

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