Burglar alarms at any time of the day or night serve only to annoy.A. go offB. that go of

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A. go off
B. that go off
C. that are going of
D. which going off
解析：考查定语从句。本题定语从句的先行词是Burglar alarms，that引导起该短语从句，并在句中做主语。AD项不是一个完整的句子，C项的时态错误。句意：在在白天或者晚上警铃声音只会让人很恼怒。故B项正确。