The word un-answerable refers to a question or an argument that cannot be answered or refuted. Here are some of the antonyms for un-answerable: answerable, solvable, resolvable, explicable, accountable, responsible, reasoned, justified, defensible and believable. Answerable means that you have an answer to a question, that it can be resolved or explained in a satisfactory way. Whereas, solvable refers to the ability to solve a problem or puzzle. Resolvable means that a conflict or issue can be settled or resolved in a fair and satisfactory manner. These are some of the antonyms that can be used to refer to a question or argument that can be answered or resolved.