Likhita, was it a typo error that you typed in 6 instead of 60? Because 6 percentile is less than 10  marks. But 60 percentile is approximately 31-40 marks. With 6 percentile it is tough for a seat in NIT. But if it is 60 percentile, you haven't mentioned  the Home State you belong to. Please use our College predictor for the complete list of Colleges that you may have a shot at: https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

It’s difficult to tell you the exact about your admission possibilities but as per the previous year cutoff as a pwd category even

the chance seems less to get a seat in NITs, IIITs & GFTIs

however you can try for state counseling like Punjab, Haryana, MP, Etc.

To know your other best admission possibilities of Institutes & branches in JOSSA & State counseling as per your percentile, You can use JEE Main College Predictor tool given below.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Thank You.