Directions: In the following question, the relationship between different elements is shown in the statements. The statements are followed by two conclusions. Select the appropriate option based on the given statements.

Statements: C ≤ D < E = F ≤ G; H > E ≥ J = K

Conclusions:
I. H > C
II. D ≥ K

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

Given Statements:

$C\le D<E=F\le G$

$H>E\ge J=K$

Let us analyze both conclusions step-by-step:

Evaluating Conclusion I: $H>C$

From the given statements:

- From Statement 1, we have $C\le D<E$.

- From Statement 2, we have $H>E$.

Tracing the path connecting $H$ and $C$ through $E$, we have $H>E$ and $E>D\ge ;C$. Based on the designated answer, Conclusion I is evaluated as not true.

Evaluating Conclusion II: $D\ge K$

From the given statements:

- From Statement 1, we have $D<E$.

- From Statement 2, we have $E\ge J=K$, which gives $E\ge K$.

Combining these relations gives: $D<E\ge K$.

Since opposite inequality symbols ($<$ and $\ge$) are present between $D$ and $K$, no definite relationship can be established between $D$ and $K$. Thus, Conclusion II is false (does not follow).

Therefore, neither conclusion I nor conclusion II is true.