For the query below, evaluate the relations given in the statements and determine which of the two conclusions (I and II) is/are logically correct.

Statements:
; S\; \le \; I\; =\; K\; >\; W
Conclusions:
I. S\; \le \; M
II. Z\; >\; W

The correct option is If both conclusions I and II logically follow.

Let us analyze the given statements step-by-step to check the validity of both conclusions.

Given Statements:

1. $P>M\ge I<Z$
2. $S\le I=K>W$

We can combine these statements using the common element $I$:

$P>M\ge I=K>W$
$S\le I<Z$

Evaluating Conclusion I: $S\le M$

From the combined statements, the relationship between $M$ and $S$ is derived through $I$:

$M\ge I$ and $S\le I$ (which is equivalent to $I\ge S$)

Combining these gives:

$M\ge I\ge S$

Therefore, $M\ge S$, which means $S\le M$. Hence, Conclusion I logically follows.

Evaluating Conclusion II: $Z>W$

From the statements, the relationship between $Z$ and $W$ is derived through $I$ and $K$:

$Z>I$ (or $I<Z$) and $I=K>W$

Replacing $I$ with $K$, we have $Z>K>W$.

Therefore, $Z>W$. Hence, Conclusion II also logically follows.

Since both conclusions I and II are correct, the statement "If both conclusions I and II logically follow" is the correct answer.