You will be none ....... for it if you take the examinations in November.
Answer Details
The missing word in the sentence is "the worse". This is the comparative form of "bad" and is used to compare two things, indicating that one is worse than the other. In this sentence, "none the worse" is an idiomatic expression meaning "not worse off or affected in any way". So if you take the exams in November, you will not be any worse off than if you took them at another time.