You can create a brief questionnaire (1 or 2 questions) by yourself using Survey Analytics. Then all you do is click on the Twitter button under the "Send Survey" tab, and Twitter is automatically opened with the survey URL right in the message box.
Then you can customize the rest of the tweet. For example, you may want to say something like "Please take this 1-question survey for @MyCompany Twitter followers."
This is a great idea for getting feedback on the types of content you're sharing on your Twitter feed.
Here's a brief video showing the simple process.