Final answer:
The intersection of sets {'b', 'a', 'r'} and {'q', 'u', 'x'} results in an empty set, as there are no elements common to both, which is not reflected in the given options.
Step-by-step explanation:
The result of the statement {'b', 'a', 'r'} & set('qux') is to find the intersection of the two sets. An intersection of sets results in a new set containing only the elements that are common to both sets. In this case, there are no common elements between {'b', 'a', 'r'} and set('qux'), which is equivalent to {'q', 'u', 'x'}. Therefore, the intersection of these two sets is an empty set, which would not match any of the given options a, b, c, or d.