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Hi there, Hope you are doing well. With 35564 rank in JEE Mains, I am afraid that you won't get any mainstream branch in IIEST Shibpur. The branches that will be available to you are only Mettalurgical sciences(round 7) and Mining engineering(round 6). While you also have a probable chance of getting a seat in Aerospace Engineering( closes at 32200) and Civil engineering(closes at 32600). Hope it would help. Thank you. Check our jee mains college predictor to know your chances for NITs, IIITs and GFTIs:- https://engineering.careers360.com/jee-main-college-predictor
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