Statements : Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys. Conclusions : I. All mountains are either hillocks or rivers or valleys. II. No valley is river. III. Some river are valleys.

None follows
Only I follows
Only either II or III follows
Only III follows E. None of these

The correct answer is $\boxed{\text{A. None follows}}$.

The first statement, “Some mountains are hillocks,” means that there exists at least one mountain that is a hillock. The second statement, “Some mountains are rivers,” means that there exists at least one mountain that is a river. The third statement, “Some mountains are valleys,” means that there exists at least one mountain that is a valley.

The first conclusion, “All mountains are either hillocks or rivers or valleys,” is not necessarily true. For example, there could be a mountain that is not a hillock, not a river, and not a valley.

The second conclusion, “No valley is river,” is also not necessarily true. For example, there could be a valley that is also a river.

The third conclusion, “Some river are valleys,” is also not necessarily true. For example, there could be a river that is not a valley.

Therefore, none of the conclusions follow from the statements.