Statements : All branches are flowers. All flowers are leaves. Conclusions : I. All branches are leaves. II. All leaves are branches. III. All flowers are branches. IV. Some leaves are branches.

The correct answer is: B. Only I and IV follow

The first statement is “All branches are flowers.” This means that every member of the set of branches is also a member of the set of flowers. The second statement is “All flowers are leaves.” This means that every member of the set of flowers is also a member of the set of leaves.

From the first statement, we can conclude that all branches are flowers. This is because every member of the set of branches is also a member of the set of flowers. From the second statement, we can conclude that some leaves are flowers. This is because every member of the set of flowers is also a member of the set of leaves.

However, we cannot conclude that all leaves are branches. This is because the second statement only tells us that every member of the set of flowers is also a member of the set of leaves. It does not tell us that every member of the set of leaves is also a member of the set of flowers.

We also cannot conclude that all flowers are branches. This is because the first statement only tells us that every member of the set of branches is also a member of the set of flowers. It does not tell us that every member of the set of flowers is also a member of the set of branches.

Therefore, the only conclusions that follow from the given statements are I and IV.