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Hello aspirant,
Congratulations for getting good rank in AEEE and JEE mains 2020. The rank you got in AEEE is very good and with this rank there are highest possibilities of getting admission for CSE in Bangalore campus of Amrita university.
According to last year cut offs the closing rank was vary in between 6000 to 7000 for open category and your rank is very much lesser than that so you have good chances to get admission. You should also go with the below link in which last year cut offs are which will be helpful for you.
https://engineering.careers360.com/articles/aeee-cutoff
B.Tech/B.Arch Admissions OPEN
Also for the JEE you should refer our college predictor tool that will help you in finding some another good colleges for you. The link is given below kindly go through this.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Best of luck.
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