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Hello,
Here is a list of government colleges where you may get CSE or related branch with a JEE Main rank of around 97,638 (mostly under home state quota):
NIT Puducherry
NIT Raipur
NIT Hamirpur
IIIT Bhagalpur
IIIT Ranchi
IIIT Bhopal
IIIT Nagpur
Assam University, Silchar
GKV Haridwar (Govt. aided)
Mizoram University
Tripura University
North Eastern Regional Institute of Science and Technology (NERIST), Arunachal Pradesh
Cut-offs change every year, so keep backup options ready and check home state quota openings during JoSAA counselling .
Hope it helps !
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