The correct sentence should be:
How did you make such rude remarks to a child?
But"How could you make such rude remarks to a child?" sounds better.
其他三个选项从结构上就说不通。
怎么___ 您做了这样粗鲁的评论对儿童?Adid \B 发生C 来D 发生了。
为什么你对一个小孩这么粗鲁?
choose C
How come you made such rude remarks to a child ?
在这里how come = why
原句是How could you come to make such rude remarks to a child ?