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Option A: The auxiliary, 'have' is used in the formation of perfect tenses. It is used along with the past participle form of the verb. The past participle form of the negative verb, 'not go' is 'not gone'. However, the simple present tense form of the verb, i.e.'not go' is used. The auxiliary, 'have' is sometimes also used to express an obligation. Eg: 'They have to go out today'. However, there is no obligation expressed in the two sentences. Hence, this option is incorrect.