Courses satisfying this requirement focus on mathematical and statistical reasoning, or on formal and symbolic argument. The requirement is meant to help you learn to use numeric or symbolic methods to assess the relationships among ideas. This should allow you to judge information more critically.
All schools and colleges of the university require at least one Q/SR course. Some colleges allow any course from the Q/SR list; others require a particular course. Check General Education and Basic Skills Requirements of UW Schools and Colleges for the requirements of colleges you are considering.