By determining which leadership style you are motivated by and work best with, your interviewer should gain some insights into how to motivate you, what type of leadership style you would most likely model yourself after, and how you answer could inform them if you are self-managed in your work or need a close working relationship with a lot of accountability. If after doing your homework, you are still unsure of the management style of the interviewing company, try to leave your answer as open as possible. Ultimately, they want to ensure they, as a potential employer, will be able to bring out the best in you.