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Hello aspirant,
See, it is really difficult to predict precisely which colleges you can get in Mumbai with the rank or marks you score in JEE mains. This is because the JEE mains Marks and Cutoff rank varies for every year and it varies from colleges to colleegs.
However, Looking at the previous year JEE mains Cutoff for General Category, you nee dot get at least 180+ marks in JEE mains to get Government engineering colleges of Mumbai. Further, you must secure a rank within 15K to get Mumbai Givernment based Engineering colleges.
Furthermore, you can also get some private Engineering colleges of Mumbai to get yourself admission on the basis of merit where the JEE mains marks and cutoff rank will not be required.
There are many top engineering colleges in Mumbai accepting JEE Main to offer admission such as the Institute of Chemical Technology, Veermata Jijabai Technological Institute, Fr C Rodrigues Institute of Technology, Sardar Patel Institute of Technology, KJ Somaiya College of Engineering.
Further, to know the best government based engineering colleges in mumbai, accepting JEE mains score you can follow the below mentioned link : https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-mumbai-accepting-jee-main-score
https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-mumbai
I hope that this will help.
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