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Hello aspirant,
It will be really difficult to predict the exact prediction of colleges that you can get as you haven't mentioned your category - OBC, SC, ST, or EWS. This is important because the JEE mains cutoff are different for different category students and it varies every year.
Anyways, if you belong to the OBC category and so with your above mentioned category rank, you have good chances of getting decent NIT's and IIIT's in JOSAA and CSAB counselling in good branches.
But if you belong to any of the EWS, SC, or ST category, then it will be very difficult for you to get any good NIT or IIIT as the required rank for all these categories are around 2k-4k, 2k-3k, 1k-2k respectively in JEE mains, as acocrding to the previous year JEE mains Cutoff analysis.
To know more about the JEE mains Cutoff, you can follow the below mentioned link : https://engineering.careers360.com/articles/jee-main-cutoff
To know about your chances of admissions in other colleges, you can follow the below mentioned link to know more : https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
I hope that this will help.
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