Hello,
You have not mentioned the Category you belongs to, so I'm considering it as General Category and providing information based on it.
You have less chances of getting Government Colleges for your ICAR rank based on previous year's cut-offs.
Cut-offs changes from year to year and depends on many factors like
---> Caste Category of the students
---> Number of students appeared in the exam
---> Difficulty level of the exam
---> Number of seats available, etc.
You can get more information about Colleges accepting ICAR scores, go through below mentioned link.
https://university.careers360.com/articles/colleges-accepting-icar-aieea-scores
Visit official link to get more information about ICAR.
https://icarexam.net/
I hope this information was helpful.
All The Best!!
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