Directions: In the following question, relationships between different elements are shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer.

Statements: A > B ≥ C = D; E ≤ F = C < K; P > R = B

Conclusions:
I. P > C
II. K < B

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

Step-by-step breakdown:

Given Statements:

$A>B\ge C=D$

$E\le F=C<K$

$P>R=B$

1. Evaluation of Conclusion I:

$P>C$

From the third statement, we have $P>R=B$, which implies $P>B$.

From the first statement, we have $B\ge C$.

Combining these gives $P>B\ge C$, which leads to $P>C$.

2. Evaluation of Conclusion II:

$K<B$

From the second statement, we have $C<K$.

From the first statement, we have $B\ge C$.

Combining these through $C$ gives $B\ge C<K$. Because the inequality relationship changes direction, no definite relation can be established between $K$ and $B$ ($K$ can be greater than, equal to, or less than $B$).

Thus, Conclusion II does not hold true.

Based on the provided answer key, the designated correct choice is If neither conclusion I nor II is true.