impertinence

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The quality or condition of being impertinent, especially.
• noun Insolence.
• noun Irrelevance.
• noun An impertinent act or statement.

from The Century Dictionary.

• To treat with impertinence, rudeness, or incivility; affect as with impertinence.
• noun The condition or quality of being impertinent or irrelevant; the condition of not being appropriate to the matter in hand; irrelevance.
• noun That which is impertinent; that which is irrelevant or out of place, as in speech, writing, or manners.
• noun Conduct unbecoming the person, society, circumstances, etc.; incivility; presumption; forwardness.
• noun In law, matter (especially in a pleading or an affidavit) which is immaterial in substance, and from prolixity or extent is so inconvenient as to render its presence objectionable.

from the GNU version of the Collaborative International Dictionary of English.

• noun The condition or quality of being impertinent; absence of pertinence, or of adaptedness; irrelevance; unfitness.
• noun Conduct or language unbecoming the person, the society, or the circumstances; rudeness; incivility.
• noun That which is impertinent; a thing out of place, or of no value.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun uncountable Lack of pertinence; irrelevance.
• noun countable An instance of this; a moment of being impertinent.
• noun uncountable The fact or character of being out of place; inappropriateness.
• noun insolence.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun an impudent statement
• noun the trait of being rude and impertinent; inclined to take liberties
• noun inappropriate playfulness