Question 1
The correct answers are A and D.
A- The infinitive is the basic form of the verb. This sentence contains the infinitive verb "to pursue" since it is not conjugated in any subject or verbal tense.
D- A gerund is a verb ending in -ing that functions as a noun. Here, the word "cooking" does not refer to the action but to the career.
Question 2
The correct answers are A and B.
A- Following the description given above, "to complete" is an infinitive verb, since it is not conjugated.
B- In this sentence, the word "knowing" is not working as a noun, and therefore is not a gerund, but a present perfect, which is the form of a verb ending in -ing that shows continuity.