You can look up the Star Trek reference, but in an interviewing context, it refers to an question that is essentially impossible to answer and/or basically neve

You can look up the Star Trek reference, but in an interviewing context, it refers to an question that is essentially impossible to answer and/or basically never occurs in real life and yet is somehow meant to judge a candidate's ability to "think outside the box" or under extreme pressure. As well as, of course, to showcase the interviewer's vast wealth of experience and keen insight into the human condition that enables him/her to assess as much in 5 minutes from candidate's response to a completely contrived question.