Disable syncing of contact that belongs to multiple groups I have few Contact Groups. 

Friends
Coworkers
Schoolmates  

With someone whom I haven't communicated in many years, I add an additional group called Archived. 
So, for example, a person can be in multiple groups like Friends and Archived. Is there a way I disable syncing contacts to the Android device, which has the Archived group, but sync all other entries?

What I see is:
if the contact has only the Archived group attached to it,
=== then I can disable syncing that contact.
But if the contact has any other group present, along with the Archived group,
=== then I do not know how to disable it.
You could look at this the other way around and create another group called "not archived" or "active" or something like that, and put all of the contacts that you do want to appear on the phone in that group.

Then you could just sync this group to the phone (and don't select "Friends" "Family" or anything else to sync) and it should work.