I was reminded of that incident today while thinking about job interviews. Why? Hold on.
Imagine a universe where that lady's question was perfectly sensible. In that world, you might enter a traditional book-only bookstore and be greeted by the proprietor who asks you "What kind of product were you looking for?"
I think some interviewers have been to that world.
I selected your company to send my Resume to. I even applied for a particular job you are offering. Why are you asking about what kind of job I want? If I were looking for something you can't offer, I wouldn't be here.