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Hello Aspirant,
As per your rank it will be difficult for you to get colleges with good branches. You should go for JOSAA and CSAB counselling it will be beneficial for you to get colleges and also you can apply for Central University.
Cutoff varies every year depending on various factors. Keep in mind that your chances to get a seat will depend on the following basis:
Use the below link to get list of other colleges that you can get based on your rank :
B.Tech/B.Arch Admissions OPEN
https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp
check out the previous year's cutoff :
https://engineering.careers360.com/articles/jee-main-cutoff
Use this link to predict private colleges :
https://engineering.careers360.com/colleges/list-of-private-engineering-colleges-in-india-accepting-jee-main
Hope this information helps you.
Best Wishes!
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