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Hello vraj,
89 percentile in JEE main is not bad. But not as good for getting you admission in nit.
So best private colleges for mechanical foryou according to your percentile is,
1. Thapar institute of engineering and technology, patiala
2. Amity college of engineering, noida
3. Birla institute of technology, mesra
4. Jaypee institute of information technology, noida
5. Lovely professional University, Phagwara
6. Jecrc University, Jaipur
For more go through the below link
https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score
Hope this help you.
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