PDF forms don't support skip logic. You would have to create the form within FormsCentral then publish as a web form.
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The following rudimentary sample demonstrates some of what's possible: https://workspaces.acrobat.com/?d=It35dD4zaX5QM--Pv36F-Q
Based on the selected item on the dropdown, the background changes and certain fields are activated. There are only two fields associated with a particular selection, but it could be as many as you want on as many pages as you want. You can implement a multisection form using a single PDF page this way.