A difficult question or riddle, especially one using a play on words in the answer
Why should I understand that, or anything else?” asked the girl. “Don’t bother my head by asking conundrums, I beg of you. Just let me discover myself in my own way.”.
A conundrum is a problem or puzzle which is difficult or impossible to solve. this theological conundrum of the existence of evil and suffering in a world created by a good God
A kind of riddle based upon some fanciful or fantastic resemblance between things quite unlike; a puzzling question, of which the answer is or involves a pun