Which of the following groups had the highest social status under the yuan dynasty? I think it is Turks and the other Muslims

Yes, you are correct. Turks and other Muslims held the highest social status under the Yuan Dynasty. This was due to the fact that many powerful government officials and military leaders during the Yuan Dynasty were of Turkic or Muslim descent, and they were given high positions of authority and privilege within the ruling hierarchy. Additionally, the Mongol rulers of the Yuan Dynasty relied on Turkic and Muslim support to maintain control over the vast Chinese territories they had conquered.