When you look at the trucks the last time they actually put a Dodge emblem on one was 2004. I know they were still calling them Dodge Ram after that but 2005 doesn't say it on the truck itself anywhere and replaced with an over sized Ram logo so that name change was coming even back then.
Was 2010 trucks actually, and the 2011s just had the ram logo. My 2010 ram says dodge on the dash as well as the tailgate for sure. If you need proof I can send you some photos of it in the morning when the sun comes up.