Would you mind if...

你介意...吗？

Would you mind if

Would you mind if I asked you a question?

你介意我问你一个问题吗？

 I smoked in the office?

你介意我在办公室抽烟吗？

would you mind if 

I had a few words with you?

你介意我和你聊几句吗？

Would you mind if

 I borrowed your car.

你介意我借你车用一下吗？

Would you mind if I asked you a question?

你介意我问你一个问题吗？

Could I ask a question?

我能问一个问题吗？

Is it okay to ask questions?

可以问一个问题吗？

Will you be taking questions?

你会接受提问吗？

I have a few questions.

我有一些问题。

I have something to ask you. 

我有些事情要问你。

Dialogue1:

Is it okay if I ask you a personal question?

我可以问你一个私人问题吗？

Maybe, what is it?

或许吧，什么问题？

Dialogue2:

We have a few questions about your ad in the newspaper.

我们有几个关于你在报纸上刊登广告的问题想问你。

I'd be happy to answer those for you. Please have a seat. 

我很乐意为你们回答问题，请坐。

Conversation：

A: Could I ask you a question?

我能问你一个问题吗？

B: Sure, what is it?

当然，什么问题？

A: Did you have any boyfriends before you met John?

你在认识约翰之前，有没有交往过其他男朋友？

B: What? Why are you asking me about that? 

什么，你为什么要问这个？

A: I don't know. I was just curious. 

不知道，我只是好奇而已。