Answer : C
Prepositions are words that indicate relationships with the
other words in the sentence. Prepositions of place are used to refer to a
place, usually to denote the location of something or someone.
Let's look at the usage of various alternatives in the option as
preposition of place:
An airport is an exact location, therefore the most appropriate word for the first blank is "at". For the other blank "late" is the appropriate word acts as an adjective for the verb arrive. Whereas "lately" is an adverb that means "recently; not long ago", which in this sentence does not fit in correctly.
Thus, the correct complete sentence is:
A plane arrived AT the airport LATE.