I am a UI Designer/Developer and once I gave an interview to Verizon for UX Designer position. By the way, it was a phone interview. I never worked as UX Designer before. The person who interviewed me asked me about my past work experiences, skill sets and asked me if have contributed as UX designer before. With regards to technical question, he actually sent me a document which had some brief information (part of an application) and then a small interface (it was like a table with some graphic based information, and based on this information, the call center people would respond to user request). I was asked to study this table carefully and then i was given 24 hour timefame to suggest a changed table/design and was asked to explain why would i suggest those changes. Just by looking at that single page document, I didn't understand the problem itself and didn't know what to suggest. I spent 23 hours just looking at the problem and on the 24th hour I did make a suggestion and send them my reply. But didn't work ..... i never heard back from Verizon.
As a UI Designer, I have worked wiith lots of UX Designer and all I know about UX design is that you have to understand the problem very carefully. You need to look for all posible solutions and use the one that would best satisfies the usesr needs. And then you must know how to create wireframes.