If I'm quoting a single word at the end of a sentence, the period (or question mark, etc) goes outside the quotes. I understand it's done this way in some other English-speaking countries.

I'll also put the period/question mark outside the quotes if it's not logically related to the quote.

Eg:
Can you say with a straight face, "Trump is a competent president"?
The quoted part is not a question. The question is about the quoted part.