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Hello,
Yes you have chances of getting a seat in cbit and car like colleges, Infact you can get the core branches of btech in these colleges. The previous year cutoffs are around 90-91%ile, so your chances of getting this college are on higher side, also you have some category reservation, so don't worry you will definitely get a seat in this type of colleges.
For more information regarding which college you can get with your specified percentile in jee mains, you can check through below link;
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
B.Tech/B.Arch Admissions OPEN
All the best
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