For NEET, there is no concept of a free seat. There are Government Medical Colleges, Private Medical Colleges, Deemed/Central Universities. You haven't mentioned your Category. Neverthless,  Private Medical Colleges do not participate in All India Counselling and the seats are filled through State Counselling alone. And for appearing for State Counselling you need to hold the domicile of that particular State. Or else the only other option is through Management Quota. Under All India Quota, All the 15% of All India Quota Seats except for Jammu and Kashmir, 100% Seats at Deemed and Central Universities, IP Quota seats in ESIC Colleges, Seats at AFMC, AIIMS and JIPMER are filled by DGHS. The 85% State Quota and Private Colleges are filled by the respective State Authorities. And there are 3 Categories in Private Medical Colleges. Category A is the Government Quota Seats. And only candidates of the home State are eligible to apply for these seats. B Category seats are also called Management Quota Seats and they are filled through State Counselling and the remaining seats are filled through Direct Admissions by contacting the College directly. Here the fees is usually nothing less than 40 lakhs. The last Category is NRI seats Category and you cannot apply for that. Now Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. Cut offs also change from State to State and year to year along with Category. In general if you want a seat under General Category, you will need atleast 550 andmore and for seat in Private Medical Colleges, you will need atleast 500. For Reserved Categories, you will need atleast 500 for GMCs and for a seat in Private Medical Colleges, you will atleast need 400. For EAMCET, please do let us know the course that you are enquiring about.