In the question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements I: Creative persons are learned people.
Some doctors are creative persons.
Conclusions I: Some creative persons are learned people.
II. Some learned people are doctors.

Creative persons are learned people means all creative persons are learned people.

The basic diagram for the given statements is

I. Some creative persons are learned people

Since all creative persons are learned people, some creative persons are learned people is also true. Hence conclusion I follows.

II. Some learned people are doctors

From the basic diagram, some learned people are doctors. Hence conclusion II follows.

$$\therefore\ $$Both conclusion I and II follows the given statements

Hence, the correct answer is Option C