I think C is correct, and it should be any one, not anyone. One is singular, hence "will he".
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
CalifJimI'd say:
I don't think that any of your friends will be able to work in such terrible conditions, will they?
Or:
I don't think that any of your friends will be able to work in such terrible conditions. Do you?
Because of the punctuation shown, I would call E the correct answer.