1. The Beatles is the most famous band in the world.

2. The Beatles were not happy at all.
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Are both grammatical? In Sentence 1, the singular verb 'is' is used. In Sentence 2, the plural verb 'were' is used.

Yes, in #1, "The Beatles" is referring to the band as a whole, not as the individuals. And in #2, the reference is to each Beatle separately -- that all of them were not happy.

Both sentences are grammatically correct.

In Sentence 1, "The Beatles is the most famous band in the world," the singular verb "is" agrees with the singular subject "The Beatles." This sentence states that The Beatles, as a whole unit, is considered the most famous band in the world.

In Sentence 2, "The Beatles were not happy at all," the plural verb "were" agrees with the plural subject "The Beatles." This sentence suggests that the individual members of The Beatles were not happy.

The verb used in a sentence depends on the subject it is referring to. If the subject is singular, a singular verb is used. If the subject is plural, a plural verb is used. In these cases, "The Beatles" is the subject, and it can be treated as either a singular entity or as a group of individuals, depending on the context.