Cross-purpose
Pronunciation : Cross"-pur`pose (-pr`ps)
Part of Speech : n.
Definition : 1. A counter or opposing purpose; hence, that which is inconsistent or contradictory. Shaftesbury.
2. pl.
Defn: A conversational game, in which questions and answers are made so as to involve ludicrous combinations of ideas. Pepys. To be at cross-purposes, to misunderstand or to act counter to one another without intending it; -- said of persons.
Source : Webster's Unabridged Dictionary, 1913