No, I pull up the answer out of 1Password and read it off to them.
Anecdotally, I had a time where I couldn't remember may answer to a secret question except that it was a type of food. I called in and the human on the other end let me reset my password with just that explanation. Take that for what you will, but it seems like if someone knows you use passwords that are random strings, they can use that to break in.