1. a riddle, the answer to which involves a pun or play on words.
2. anything that puzzles.
Conundrum was a word I always found intriguing, enjoying the puns so to speak. I felt that the upside-down question mark replacing the "d" visually represents the word well. I had originally concepted this for my own studio, however we went a different direction.
I feel the word itself leaves itself wide open to interpretations, whether applying to something like a small gaming company, to personal solution providers who help you with the "riddles" in life.