Tom wanted to play games at home but his mother told him ___

选 B
略作宾语的不定式短语,只保留to.
e.g.---- Are you going there?
---- I’d like to (go there).
注意：如果该宾语是be动词或完成时态,
则须在to之后加上be或have.
e.g.---- Are you an engineer?---- No,but I want to be.
---- He hasn’t finished the task yet.---- Well,he ought to have

B 这是一个省略式的回答，一定要用to来表示动词的省略。如果选A，必须是完整的，因为do是及物动词。
例如：
Would you like to go with me?
I'd like to.
老师祝你学习进步！
望采纳，多谢！^_^

B.not to
do在这里必须省略。不然显得重复啰嗦。

A
有不明白的地方再问哟，祝你学习进步，更上一层楼！ (*^__^*)