Based on the mathematical relationships given in the statement, assess which of the conclusions logically follow and choose the correct option.

Statement:
B > M > F ≤ P < Q, L > M > H
Conclusions:
I. B > L
II. F < H

Correct Answer: Neither conclusion I nor II is true

Step-by-step Explanation:

Given Statements:

$B>M>F\le P<Q$

$L>M>H$

Analysis of Conclusion I: B > L

From statement 1, we have $B>M$.

From statement 2, we have $L>M$.

Since both $B$ and $L$ are greater than $M$, no definite relation can be established between $B$ and $L$.

Hence, Conclusion I does not follow.

Analysis of Conclusion II: F < H

From statement 1, we have $M>F$ (which means $F<M$).

From statement 2, we have $M>H$ (which means $H<M$).

Since both $F$ and $H$ are less than $M$, no definite relation can be established between $F$ and $H$.

Hence, Conclusion II does not follow.

Therefore, neither conclusion I nor II is true.