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Dear Aspirant,
Firstly congrats your JEE advanced score is a decent one and will definitely give you a seat in good IIT's in India.Considering last year's cutoff your rank might fall in the range of 4000-5000 and you can expect Mechanical engineering,chemical engineering,civil engineering,material science and metallurgical branch in top IIT's.
Given below is the link to predict your college by submitting your JEE score.
https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer
Hope this helps you.
Thank you
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