it depends how accurate your question is. Many people simply ignore poorly worded questions - in favour of those that are grammatically correct.
The question that is never asked.
"The question that has never been asked has not been asked yet." This is the only answer possible, because if the question has never been asked yet, then it doesn't, nor can it ever exist. Therefore, the question that has never been asked has already been asked - simply by posing the intitial question.
I never question my authorities.
your exact question
If there is a question that can never be asked, which is I suppose possible, although unlikely, the fact that it can never be asked would prevent me from telling you what it is here.
No because you will never find the questions answer if you say the question:)
You could never say yes to the question "Are you dead?"
question
It is both a question AND a sentence.
Just to frustrate you.
"Are you dead?"
"Are you dead?"