Hello Dear,

First of all congratulations for your performance. As the percentile mentioned by you the General AIR rank must be between 5003 - 3932. As your EWS category rank will be little less. There is a very good chance that you can get any NIT/IIIT on your rank. You will get your desired branch in your home state NIT. You can check the cutoff list of NIT from the link below:

https://engineering.careers360.com/articles/jee-main-cutoff

but as you know cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors. You can check the rank vs percentile vs marks below:

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

You can check our predictors link to know more about the college which you can get

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Good Luck