In this question, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statement and select the appropriate answer.

Statements: M ≤ O > T > R > E; N = H ≤ R > K < U
Conclusions:

I. E > N

II. H ≥ E

The correct answer is: If either conclusion I or II is true.

Let's analyze the given statements step-by-step to check the validity of the conclusions.

Given Statements:
1. $M\le O>T>R>E$
2. $N=H\le R>K<U$

Combining the statements involving E, R, H, and N:
From statement 1, the relationship between R and E is:
$R>E$
From statement 2, the relationship between R, H, and N is:
$R\ge H=N$

Combining these relations centered around R:
$E<R\ge H=N$

Since R is greater than E ($R>E$) and R is greater than or equal to H ($R\ge H$), as well as N ($R\ge N$), we compare E with H and N:
Because both E and H (or N) are less than or equal to R, no definite single inequality relation (like strictly greater or strictly less) can be formed directly between E and H (or N) without considering all possibilities.

Specifically, the possible relations between E and N (or H) are:
1. $E>N$
2. $E\le N$ (which is equivalent to $H\ge E$ because $N=H$).

Now, let's examine the two given conclusions:

Conclusion I: E > N
Conclusion II: H ≥ E

Since $N=H$, Conclusion II ($H\ge E$) can also be written as $N\ge E$, which means $E\le N$.

Together, Conclusion I ($E>N$) and Conclusion II ($E\le N$) cover all possible mathematical relations between E and N. Exactly one of these two conditions must be true.

Therefore, either conclusion I or II is true.