Could there be a reasonable answer that is not logical?

Reason is a bit broader than logic. Logic is very straightforward - if A=B and B=C then C=A. But reason takes into account human experience.

For example, it's entirely logical to say that "No human beings live past the age of 130 (this statement may be a fact, but it is also a supposition). Jane is 129. Therefore Jane will be dead next year." It follows, but as you know science is making continuing progess in extending human life, and Jane may very well be the first person to live over 130 years.

Yes. Some things are not amenable to logic, like human emotion. In those cases we must strive to set logic aside and be reasonable.

That would depend upon the question!

But in a word.... yes.

An answer could be a reasonable answer but not a logical one.

But this question needs to be more specific!

Sure it can be you can relay on hermeneutics, which not necessarily is logical, you just try to comprehend, or you could relay on semiotics, just to mentioned two options, good bye