Fill in the blank with a suitable option:
Have you finished ______ that letter yet?
Answer : B
Certain verbs are followed by the gerund form of the verb in the sentence.
It is more suitable to use the gerund form of the verb following the main verb, if the main verb is in the past tense (here, "finished").
The gerund form can be made by adding "ing" to the base form of the verb.
Here, the gerund verb of "find", is "writing".
And thus, the correct complete sentence is:
Have you finished WRITING that letter yet?