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From: Webster's Revised Unabridged Dictionary (1913)

 In·con·gru·ous a.  Not congruous; reciprocally disagreeing; not capable of harmonizing or readily assimilating; inharmonious; inappropriate; unsuitable; not fitting; inconsistent; improper; as, an incongruous remark; incongruous behavior, action, dress, etc. Incongruous mixtures of opinions.” --I. Taylor. “Made up of incongruous parts.”
    Incongruous denotes that kind of absence of harmony or suitableness of which the taste and experience of men takes cognizance.   --C. J. Smith.
 Incongruous numbers Arith., two numbers, which, with respect to a third, are such that their difference can not be divided by it without a remainder, the two numbers being said to be incongruous with respect to the third; as, twenty and twenty-five are incongruous with respect to four.
 Syn: -- Inconsistent; unsuitable; inharmonious; disagreeing; absurd; inappropriate; unfit; improper. See Inconsistent.
 -- In*con*gru*ous*ly, adv. -- In*con*gru*ous*ness, n.