So when Google's Q&A feature launched for local results, it only launched for mobile browser searches. They did not and currently do not show up when you search for local results on your desktop browser.
But Sergey Alakov caught Google testing showing Q&A boxes in the local panel on desktop search results.
Here is one of many screen shots Sergey captured of the Q&A box showing on desktop search results:
Personally, I think this feature should be available both on mobile and on desktop searches.
Forum discussion at Twitter.