In a few words, I would answer this way:
Abstract classes can be treated as something between these two cases (it introduces some state but also obliges you to define a behavior), a fully-abstract class is an interface (this is a further development of classes consist from virtual methods only in C++ as far as I'm aware of its syntax).
Of course, starting from Java 8 things got slightly changed, but the idea is still the same.
I guess this is pretty enough for a typical Java interview, if you are not being interviewed to a compiler team.