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Your rank approximately would be 7520, firstly congrats for a such a great rank and score you have very high chances of getting NIT and IITs only prefer them instead them while IITs have better value and top position than IIITs
You could calculate using the The official Jee rankings will be released after the examination in April. You could use the formula to predict your rank:
JEE Main 2019 rank (probable) = (100- NTA percentile score ) X 874469 /100
However,this rank may change as only the best of the two scores will be considered for the final rank list.
Please refer the below link
Https://engineering.careers360.com/percentile-predictor-result/1094?s=39600026441548134962
Https://engineering.careers360.com/articles/how-calculate-jee-main-2019-rank-based-on-nta-percentile-scoHttps://engineering.careers360.com/articles/jee-main-cutoff
While its hard to say on the approximate rank while you have really very good score in JEE just wait till the end result that JEE would release in month of april , kindly wait till then or else with the this aprrox rank check the colleges with our tool in the below link
Https://engineering.careers360.com/jee-main-college-predictor
Regards
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