Directions: In the following question, statements show relationships between different elements. Read the statements and choose the correct conclusion(s) that logically follow.

Statements:
M > N ≥ O ≤ P; O > Q = R

Conclusions:
I. P > R
II. N > Q

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

Given Statements:

$M>N\ge O\le P$

$O>Q=R$

Analysis of Conclusion I: $P>R$

From the first statement, the relationship between $P$ and $O$ is:

$P\ge O$

From the second statement, since $O>Q$ and $Q=R$, we derive:

$O>R$

Combining these two inequalities gives:

$P\ge O>R$

Since $P$ is greater than or equal to $O$, and $O$ is strictly greater than $R$, it logically follows that $P>R$. Thus, Conclusion I is true.

Analysis of Conclusion II: $N>Q$

From the first statement, the relationship between $N$ and $O$ is:

$N\ge O$

From the second statement, the relationship between $O$ and $Q$ is:

$O>Q$

Combining these two inequalities gives:

$N\ge O>Q$

Since $N$ is greater than or equal to $O$, and $O$ is strictly greater than $Q$, it logically follows that $N>Q$. Thus, Conclusion II is true.

Since both Conclusion I and Conclusion II logically follow from the given statements, the correct option is If both conclusions I and II are true.