I would consider it more of a 'logic' problem. Once you realise that there is no readily apparent answer, you need to analyse the question to see where the original premise is faulty. A 'riddle', such as the riddle of the Sphinx, has an answer which may be logical, and which may be one of several possible correct answers, but seems to require a leap of understanding to arrive at the 'correct' answer. No such leap of understanding will ever get you a valid answer to the question as set above.
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