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Hello Aspirant,
Since you have not mentioned the state, I assume you belong to Telangana state, from your profile information. Cutoffs depend on the number of seats available, number of applicants, the highest marks scored that year etc. Based on the previous year cutoff for your category a rank below 50000 was fine for govt. seat but this year cutoffs have increased , hence it may increase a bit . But with your rank under home state quota you will sure have a good chance , so attend the counselling and see your options. Your rank is good for government BDS seats though in case you consider dental. Top private colleges are sure.
Go through the previous year cutoffs :
https://medicine.careers360.com/articles/neet-cutoff-telangana
Do use the college predictor tool to know all your possibilities:
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
All the best
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