It is important in anatomy that you read the question carefully and that you answer what they ask you, not what you think they are asking.
To me, the key word in this question is "direct". Any blood vessel that is not directly attached to the aortic arch is not the correct answer.
Answer A is wong because the internal carotid branches off the common carotid.
Answer B would be right if they said LEFT subclavian, but they don't, and the right subclavian branches off the brachiocephalic trunk.
Answer C would be right if they said LEFT common carotid, because the right common carotid branches off the brachiocephalic trunk.
Answer D is wrong because it comes off the ascending aorta, not the aortic arch.
So I have issues with all answers, although B and C I would accept in an exam thinking I should have been more specific in my question. I don't seem to be able to post my aortic arch diagram in here, but if you look it up, you will agree with me.