Statements : All trees are flowers. No flower is fruit. All branches are fruits. Conclusions : I. Some branches are trees. II. No fruit is tree. III. No tree is branch.

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

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

The first statement, “All trees are flowers,” is in universal affirmative form. This means that it asserts that all members of the class of trees are also members of the class of flowers. The second statement, “No flower is fruit,” is in universal negative form. This means that it asserts that no member of the class of flowers is also a member of the class of fruits. The third statement, “All branches are fruits,” is in universal affirmative form. This means that it asserts that all members of the class of branches are also members of the class of fruits.

The first conclusion, “Some branches are trees,” is in particular affirmative form. This means that it asserts that at least one member of the class of branches is also a member of the class of trees. However, the first statement does not assert that there are any branches. It only asserts that all trees are flowers. Therefore, the first conclusion cannot be validly drawn from the first and second statements.

The second conclusion, “No fruit is tree,” is in universal negative form. This means that it asserts that no member of the class of fruits is also a member of the class of trees. However, the second statement does not assert that there are any fruits. It only asserts that no flower is a fruit. Therefore, the second conclusion cannot be validly drawn from the first and second statements.

The third conclusion, “No tree is branch,” is in universal negative form. This means that it asserts that no member of the class of trees is also a member of the class of branches. However, the third statement does not assert that there are any trees. It only asserts that all branches are fruits. Therefore, the third conclusion cannot be validly drawn from the first and third statements.

In conclusion, none of the conclusions can be validly drawn from the given statements.