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There are a lot of colleges but according to your rank which is low. Applying for a government college is questionable. I'll suggest to look for every possible option.
Allocation of seats depends on a lot of factors like your category rank and some criteria established by the college you are applying for. careers360 provides a tool to predict college on basis of your rank.
JEE Main College Predictor link https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
GOOD LUCK!!!
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Know your college admission chances in NITs, IIITs and CFTIs, many States/ Institutes based on your JEE Main result by using JEE Main 2025 College Predictor.
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