He  might have given you more help, even though he was very busy.

参考译文:尽管/即是他很忙,但还是有可能给予你更多帮助的。

A. might have given      B. will have given      C. should have given      D. may give

解答:以上只能选A答案，might have done sth 表示对“过去事件可能性较低推测”意思“可能做了某事”

 【1】might have done sth 对过去事件的推测

I might have passed the exam if I had studied harder.

 如果我学习更用功一些，我可能就通过考试了。

I might have gone to university if I hadn’t broken my arm before Gaokao.

 如果高考前我没有摔断胳膊，我可能就考上大学了。

 【2】should have done 本应该做某事，但事实上却没有做，含有责怪语气

You should have done that yesterday。 你本该昨天把它做完的。

You should have seen the doctor yesterday. 你本该昨天看医生的。