I'm not giving you my age or any other (piece of) personal information.

[Ashraful Haque]

Real incident that happened to me just two days ago.

Caller: Please speak English. I have a few questions to ask. (African accent)
Me: Go ahead.
Caller: I am Amenda. 25 years old. I'm from xyz company. I have an offer for you. Are you interested?
Me: Sorry, I'm going to have to say no. I'm a little busy at the moment.
Caller: Okay. Please tell me your age.
Me: Isn't that a bit too personal?
Caller: But I told you mine.
Me: I don't care how old you are. I'm not giving you my age or any other personal information. Bye! (hung up)

Since I'm an english learner. A question has been bothering me for the last two days. I know the word 'information' is uncountable and there's no plural form. We either say 'information is' or 'a piece of information.'

Is 'any other' before 'information' correct?
Should I have said any other piece of personal information?

 

[5jj]

I'm not giving you my age or any other personal information. Bye!

That's fine.

Is 'any other' before 'information' correct?

Yes.

Should I have said any other piece of personal information?

No.

 

[emsr2d2]

This is a real incident that happened to me just two days ago.

Caller: Please speak English. I have a few questions to ask. (African accent)
Me: Goodbye!

You've got more patience than me. If I answered a call from an unknown number and the caller opened with those words, that would have been that!

 

[Ashraful Haque]

Is 'any other' before 'information' correct?
Yes.

Should I have said any other piece of personal information?

No.

Is it also correct to say.

Do you have any other information on this?
Do you have any more information on this?

 

[5jj]

Do you have any other information on this?
Do you have any more information on this?

Both are OK.