Well the lithosphere is made up of the crust and upper mantle, but the core and upper mantle are not one of the five layers (meaning they cannot be in the same layer).
Here are the five layers are:
-lithosphere which is made up of crust and upper Mantle
-asthenosphere which is the middle part of the mantle
-mesosphere which is the lower mantle
-outer core which is the liquid part of the core
-inner core which is the solid part of the core
I do know this is correct because I learned this in science about a week ago.