The correct answer is: A. my cousin said that her room-mate snored throughout the night.
The sentence “My cousin said, ‘My room-mate had snored throughout the night.'” is in the past tense. This means that the cousin is reporting something that happened in the past. The most likely interpretation of this sentence is that the cousin is telling the listener that her roommate snored the previous night.
Option B is incorrect because it uses the present tense. This would be the correct option if the cousin was telling the listener that her roommate snores every night.
Option C is incorrect because it uses the verb “complained.” This would be the correct option if the cousin was expressing her dissatisfaction with her roommate’s snoring.
Option D is incorrect because it uses the verb “felt.” This would be the correct option if the cousin was expressing her uncertainty about whether or not her roommate was snoring.