There are surely a lot of option when it comes to online questionnaire platform. SurveyMonkey.com, Surveycake.com, just to mention a view. But, why pay premium price when you can achieve almost all of it just by free service such as Google Form.
You can easily manage the Section of Questions in the Google Form. For example, if you want to use the same question from one section to another, simply click the three dots/menu option then choose copy then move the section you just copied.
Nested Question Feature
Nested Question is a feature in Google Form where you can direct your sample to specific question based on their answer. All you need to do is choose Multiple Choice question type, then determine which question goes to which seqment.