A decently clever candidate could sneak out of that first one without a loop. Something like
numbers.reduce((a,b) => Math.min(a,b))
would do it in JavaScript. In general, if a candidate realizes they can use reduce for that purpose, in my experience interviewing candidates they probably wouldn't have much trouble doing it with a loop, and it would usually be a signal they're going to have a pretty good interview.
Then again, you might run into a joker who has just memorized how to use reduce for finding the maximum or minimum element in a list of numbers.