'Umbrage' means resentment, offense, or annoyance. 'Pique' can refer to resentment or irritation, making it the closest synonym among the options. 'Attack' is unrelated. 'Acumen' means sharp insight or keen judgment. 'Profane' means treating something sacred with disrespect or using offensive language. Therefore, 'pique' is the word most similar in meaning to 'umbrage' in the context of taking offense or feeling resentment.