I assume this is a question following a story? The structure of the sentence is strange, because its basically a "fill-in-the-blank" question:
(According to the story,) Samuel and Tova are committed to disagreeing about (which one of the following):
So which answer best describes the subject they are "committed to disagree about"?
In this context it means that Samuel and Tova disagree with each other on this issue.
There is a common expression in English they might be referring to here: "let's just agree to disagree". It is used to end arguments that appear to be in a stalemate, and basically means: "you and I both know we aren't going to convince each other about this subject, so to stay on good terms, let's just acknowledge our opposing positions and talk about something else."
So I'd have to read the paragraph in question to know for sure, but "Samuel and Tova are committed to disagreeing about" might just be an unusual way to say that Samuel and Tova have "agreed to disagree" about some issue.