What does J. Patrick Lewis assume about his audience? that they plan to take a trip to New York City
that they do not know about New York City
that they know about famous New York City landmarks
that they do not like visiting New York City’s landmarks

the answer is:

when will (v) the books (n) be (v) due?

nouns refer to people (other than pronouns), places and things, whereas verbs describe actions and are usually part of the predicate of a sentence. finally, pronouns can work as nouns and identify the participants in speech.

in the example sentence, "will" is a verb part or auxiliary verb, "be" is an infinitive verb and "books" is a plural noun.

the right answer is b