Sir I scored 568 In my NEET under general category

With this score it would be quite difficult to get any seat through all India quota counselling. But you can try through state counselling. Your profile shows that you belong to Telangana so going by last year's cutoffs, you can expect

• GMC Mahabubnagar
• GMC Nalgonda
• GMC Siddipet
• GMC Suryapet
• GMC Nizamabad

etc and government quota seats in private Medical colleges like Mamata Medical College, Surabhi Institute of Medical Sciences etc. But keep in mind that these are based on last year's data and this year the cutoffs can change. To get complete list of all colleges you can get based on your rank use this link http://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer