Etymology
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nonsensical (adj.)

"of the nature of nonsense, absurd, foolish," 1650s, from nonsense + -ical. Related: Nonsensically.

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Definitions of nonsensical

nonsensical (adj.)
having no intelligible meaning;
a nonsensical jumble of words
Synonyms: nonsense
nonsensical (adj.)
so unreasonable as to invite derision;
ask a nonsensical question and get a nonsensical answer
From wordnet.princeton.edu