NSW Schools - Math Practice

Problem Statement

In a survey of television viewers, everyone who liked movies liked animations. Everyone liked animations liked cartoons, but no one who liked animations liked reality shows.

David, Amanda, Brian and Julie all took part in the survey.

Based on the above information, which one of the following must be true?

If David likes cartoons, he also likes animations

If Amanda likes movies, she does not like reality shows

If Brian does not like movies, he does not like animations

If Julie does not like reality shows, she does not like cartoons