—Mum，

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—Mum，________ I visit the Modern Art Museum next Monday?

—I'm afraid you can' the museums in this city are closed on Monday.

A．would B．need C．should D．may

D　句意：“妈妈，下周一我可以参观现代美术博物馆吗？”“恐怕不能，周一本市所有的博物馆都闭馆。”回答may开头的疑问句，肯定回答用“Yes, please./Yes, you may.”否定回答则用can't或mustn't。结合答语中的can't可知应用may。故选D。