Hello, Aspairant

Well ,cut off hasn't release yet by any colleges it should be release after Jee mains result,and i would suggest you to again apply for jee mains ,form will be out from 7'th feburary,and exam will be held in april , and go with better preparatio,perform well this time you will get good  colleges ,if you talk about good private colleges you should select a particular city, well ,Bangalore side colleges are known to be so good in India in terms of private ,look for them .

And visit the below link it helps you in decreasing your complexity

https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India

Hope this will help 

For further queries feel free to ask