The definition of conundrum is a situation where there is no clear right answer or no good solution.(noun)
An example of a conundrum is a challenging riddle to which you can't figure out the answer.
See conundrum in Webster's New World College Dictionary
Origin: 16th-c. Oxford University L slang for pedant, whim, etc.; early sp. quonundrum
See conundrum in American Heritage Dictionary 4
Origin: Origin unknown.
Learn more about conundrum