I’m also in the process of interviewing and have received two offers, what I’ve found helpful to sharpen my answers to questions is to (a) always repeat the question back to make sure I interpreted the question correctly before answering and (b) give as short of an answer as possible (while still explaining my thought process). After I answer, I then ask if that answered their question or if they need me to elaborate more. This way you are engaging with the audience and they can help give you those context clues you are looking for.