head-scratcher

noun
head-scratch·​er | \ ˈhed-ˌskra-chər \
plural head-scratchers

Definition of head-scratcher

informal
: something that is confusing, mysterious, or hard to understand We love college football for nothing if not the belief—hope even—that at any moment the unexpected could happen. Young as it is, this season has already provided its share of jaw-droppers and head-scratchers.— Holly Anderson

First Known Use of head-scratcher

1902, in the meaning defined above

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The first known use of head-scratcher was in 1902

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a complex dispute or argument

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