Hi!
Questions that we cannot answer with science are going to be ones which are subjective, or, opinion related.
For example, could we follow the scientific method in order to successfully see that Mandy's favourite colour is 'blue' and her grandma's favourite food is 'pizza'?
Well... I... I guess, but... It doesn't make sense! These have nothing to do with science, as they are all just opinionated!
Hopefully, you get the picture. =)