Statements: K < C ≤ Y = L ≥ E; I ≥ M = Y > F ≥ W
Conclusions : I. W < L II. C ≤ I
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:

The correct answer is: If both conclusions I and II are true.

To determine the validity of the conclusions, we can analyze the relationships between the elements by combining the statements using the common element $Y$.

Given Statements:

$K<C\le Y=L\ge E$

$I\ge M=Y>F\ge W$

I. Evaluating Conclusion I ($W<L$):
From the first statement, we know:
$L=Y$
From the second statement, we trace the relation from $Y$ to $W$:
$Y>F\ge W$
Substituting $L$ for $Y$, we get:
$L>F\ge W$
This simplifies to $L>W$, which is equivalent to $W<L$. Therefore, Conclusion I is true.

II. Evaluating Conclusion II ($C\le I$):
From the first statement, we have:
$C\le Y$
From the second statement, we have:
$I\ge M=Y\Rightarrow I\ge Y$
which can be rewritten as:
$Y\le I$
Combining the two inequalities:
$C\le Y\le I$
This gives $C\le I$. Therefore, Conclusion II is true.

Since both conclusions I and II are true, the correct option is "If both conclusions I and II are true."