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Hello aspirant,
Congratulations for getting such pretty rank in JEE mains exam. According to the cut offs for JEE advance released by NTA yes you are eligible for JEE advance. The cut offs for pwd candidates is 0.062. As you have more percentile than that so you are eligible for advance exam.
As per your second question you have very good chances of getting some decent NITs. You should go through below link in that the JEE cut offs for advance exam as well as for NITs ,IIITs and GFITs is given that will help you.
https://engineering.careers360.com/articles/jee-main-cutoff
Also you will go with our college predictor tool that will definitely help you in predicting some good colleges according your percentile, category for you.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Best of luck.
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