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A rank of 2000 is very good and can assure a seat in any top NIT or IIIT.
Getting Computer Science engineering in NIT Trichy will be difficult with this rank. However you have bright chances of getting in any branch in NIT Warangal, Surathkal and Allahabad.
If you are very interested in CSE, then you also have a chance of getting in IIIT Bangalore and IIIT Delhi, which provide excellent opportunities to their students.
You can go through the below given link to check the rank cut-offs of different colleges and branches.
https://josaa.nic.in/webinfocms/Handler/FileHandler.ashx?i=File&ii=177&iii=Y
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