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Last year the cutoff was 13405 for home state and 12167 for other state quota. You have a slight chance to get into mechanical engineering of this college. You have plenty of chances to get into NITs as well as in good branches also.
However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
All the best.
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