Hello aspirant
With the above mentioned EWS category rank in JEE mains, and looking at the previous year JEE mains cutoff, you have very less and difficult chances of getting any good NITs even with the Home state quota in Andhra Pradesh. The previous year JEE mains EWS category Cutoff for the lowest branch, Biotechnology, was around 6762 which is very low as compared to what your EWS category rank is. Similarly for other NITs the required EWS category rank is around 2k-5k so, with 16K ews rank the chances are very difficult for admissions.
But do not worry as you can get admission in other state level engineering colleges with this rank and category under the state counselling.
To know more about the JEE mains Cutoff, you can follow the below mentioned link : https://engineering.careers360.com/articles/jee-main-cutoff
To know about your chances of admissions in other colleges, you can follow the below mentioned link to know more : https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
I hope that this will help.
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