Hello, 

As per your requirement, i would say that as you have got 360 marks in your respective category, and you belong from karnataka so it would be quite difficulty for you to get a government seat in karnataka but you may get it even as you have Catholic caste reservation for you to avail but generally its safe to score above 400 marks because rajasthan state basically has a high cut off as lot of students belong from that state.

Getting a seat in government medical college is depending on many factors like studenrs to seat ratio, cut off, reservation etc. 

The cut off as per your caste would also depend on which state domicile you have as few states havr higher cut off .So it varies from state to state.

You can apply for both state as well as aiq quota seats. But it would be diffcult as your markd are less.

Good luck