I'd prefer not to answer the given question.

I'd prefer to ask.

(Or)

I'd prefer to have my own question.

Hi Sujin!

We would not say, " I prefer to have my own question."  However, "I'd prefer not to answer the given question" is fine.

We might say "I'd prefer to ask," depending on the situation. It would be more common to say, however, "I would like to ask."

I hope this helps you. Let's discuss this more during the next class.