“Neither... nor” is the correct correlative conjunction.
The verb agrees with the subject closest to it, which is “his wife” (singular), so we use “is” instead of “are.”
Incorrect options:
- (A) “Neither he and his wife” is incorrect; “neither” must be followed by “nor.”
- (B) “Neither... and” is incorrect, and “are” does not agree with the singular subject “wife.”
- (D) “Neither... or” is incorrect; the correct pair is “neither... nor.”
Thus, the correct answer is Option C.