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:

• Number of seats available
• Number of students applied for the same branch
• Performance of the students
• The category you belong to etc.

Use the below link to get list of other colleges that you can get based on your rank :

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!