I have a good idea ,but----of them -----to me

I have a good idea ,but____of them _____to me
I have a good idea ,but____of them _____to me
A.both;listens B.either;listen C.neither;listens D.all;listen
这里要不要用到就近原则啊.这里有个but在,所以用排除法选C.但是为什么后面谓语是listens啊.这里不用到就近原则么?