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

Correct Answer: If both conclusions I and II logically follow

To determine which of the conclusions logically follow, let us analyze the given statements step-by-step.

Given Statements:

1. $P>M\ge I<Z$

2. $S\le I=K>W$

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

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

Evaluating Conclusion I: $S\le M$

From the combined statements, we trace the relation between $S$ and $M$ through $I$:

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

Combining these gives:

Therefore, $S\le M$ is true. Conclusion I logically follows.

Evaluating Conclusion II: $Z>W$

From the combined statements, we trace the relation between $Z$ and $W$ through $I$:

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

Since $Z>I$ and $I>W$, combining them yields: $Z>I>W$

Therefore, $Z>W$ is true. Conclusion II logically follows.

Since both conclusions I and II are correct, the correct choice is If both conclusions I and II logically follow.