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Hello,
To be honest if you have got 16k rank in EWS let me tell you that it's not possible for you to get a cse branch in any of the NITs/IIITs so let me tell you that you should rather go for a private college like BITs Pilani, VIT vellore, SRM University, Manipal University.
However various factors are considered while deciding the cut offs like number of vacant seats in college, previous years cut offs and toughness level of the paper.
If you want to check out the colleges you can get, you can check out the link given below-
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
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