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Answer for the clue "Question run badly arrives at wrong conclusion ", 12 letters:
non sequitur

Word definitions for non sequitur in dictionaries

Wikipedia Word definitions in Wikipedia
" Non Sequitur " is the 21st episode of Star Trek: Voyager , the fifth episode in the second season.

WordNet Word definitions in WordNet
n. a reply that has no relevance to what preceded it (logic) a conclusion that does not follow from the premises

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Non sequitur \Non seq"ui*tur\ [L., it does not follow.] (Logic) An inference which does not follow from the premises.

Wiktionary Word definitions in Wiktionary
n. 1 Any abrupt and inexplicable transition or occurrence. 2 Any invalid argument in which the conclusion cannot be logically deduced from the premises; a logical fallacy. 3 A statement that does not logically follow a statement that came before it.

Douglas Harper's Etymology Dictionary Word definitions in Douglas Harper's Etymology Dictionary
Latin, literally "it does not follow."