Same situation as yours and my lawyer asked me to say yes, as they would easily be able to run the ssn and find out. However, I will have to go back to Nepal to do my adjustment of status. Two more employee who did GC before had the same situation and went back to Nepal and were easily able to do so. In my case, i have been with the same company. Different company ho bhanya farak pardaina kyare, sab le gareko chaina bhancha.