She was tired of his constant complaining and didn’t want to  tolerate  him anymore.

A. catch up to

B. put up with

C. come up with 

D. live up to

【答案解析】本题正确选项B。

【译文】她受不了他的不断抱怨了，并且不想再继续忍受下去。

【解析】在四个备选项中，A项catch up to“追上”；B项put up with“忍受”；C项come up with“提出”；D项live up to“符合，不辜负”；题干中的画线词tolerate意为“忍受”，因此，依据题意本题正确选项为B。