My cousin said, "My room-mate had snored throughout the night."
A. my cousin said that her room-mate snored throughout the night.
B. my cousin told me that her room-mate snored throughout the night.
C. my cousin complained to me that her room-mate is snoring throughout the night.
D. my cousin felt that her room-mate may be snoring throughout the night.
Answer: Option A

my cousin said that her room-mate (had) snored throughout the night.
Kindly add (had) you Miss the word Had
Past perfect will change to past perfect continuous...so all options are wrong
Had snored is in past perfect and in indirect speech also it remains same , so all options are wrong according to me
In answer, had will be used
Since it is past perfect tense, the direct form will remain unchanged, so the correct option should be
"My cousin said that her room-mate had snored throughout the night"
Add the word "had" in option A. Please