what can be my expected rank and percentile with 67 marks in jee mains
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Based on your score in JEE mains , your open category rank would be more than 1 lac. With this rank you have no chances of getting a seat in any government engineering colleges like NITs, IIITs and GFTIs.
So please go for some top private engineering colleges in India like SRM University, Amity University, Sharda University and many more.
Please visit this link for more such colleges .
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India&ved=2ahUKEwiJ-Nf2vZzqAhXEfH0KHeu3D8YQFjAPegQIBBAB&usg=AOvVaw3ZtyjIynwh5jLDs3nOHHoU
Also, you can try to improve your score and rank in the JEE mains in July. You need to practice a lot of questions and previous year question papers. Please checkout the JEE mains crash course by Careers 360.
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/careers360-jee-main-crash-course/amp&ved=2ahUKEwiCjdXCuJzqAhX07HMBHWOvB-4QFjACegQIDxAO&usg=AOvVaw2qqSyBCop2N7ziMSe61Y3S&cf=1
Hope it helps
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