1.When _____ why he continued running,he simply said it was his duty as a member of the class
A.being asked B.asked C.asking D.having asked
2.My dream is that I would be offered a(n) ____to work in a big company after graduation
A.process B.possibility C.experience D.opportunity

请详细解答，谢谢

1 选A
When being asked why he continued running，=
When he was asked why he continued running
when引导的状语从句的主语和主句的主语一致，所以可以省略，从句的谓语用现在分词形式。所以排除B, 又因为他被问到...,所以是被动语态。只能选A
翻译：当（他）被问及为什么要继续坚持跑的时候，他只不过说这是作为班级的一员应尽的责任。

另外一个例子：
when being a young boy，Edison was not a good student .
爱迪生小时候不是一个成绩好的学生。
=when he was a young boy,Edison was not a good student.

但是当主从句主语不一致的话，就不能省略从句主语了：
When I came home my wife was cooking dinner.
我回家时，妻子在做晚饭。（I不可以略去）

2 D
be offered an opportunity: 被给予一个（工作）机会。
A process:过程/步骤/方法 错！
B possiblity:可能性 错！
不能说给予/提供一个可能性。
C experience：经验/经历 错！
翻译：
我的梦想就是毕业后“能得到”（或者说“被给予”）在一个大公司工作的机会。