Which version of UE works with 3D Max and Maya 2011?

Even though those 3D asset programs are older, they should both work with any of the current versions of the Unreal Engine. As long as you use standard outputs (obj) there really shouldn’t be issues working with them. Sadly you wont have access to some of the tools that Epic provides for smoother Maya integration and workflow (A.R.Tv1 for example doesnt have a version that old).