You haven't mentioned your Category or the Home State you belong to. This is important because cut offs change for different Categories and the ranks are different for Home State and Other State. You can check the list of colleges that you have a shot at by using our College predictor:

Hello,
40000 is a very good rank in JEE mains. You have high chances of getting CSE. You will get CSE in some newer NITs and IIITs. You might get a seat in CSE in some top NITs , IIITs during the CSAB counselling round. You will get CSE in top central and state funded government engineering colleges. All the best.


Please use the careers360 college predictor to know the colleges According to your JEE mains rank and percentile.
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/jee-main-college-predictor&ved=2ahUKEwifkv-autvpAhUkjuYKHYmlAbEQtwIwAXoECAUQAQ&usg=AOvVaw1pTMu5LewXe0n3JPiA8V2U
Hope it helps

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