Hello Aspirant,
Seeing your rank, it is not possible for you to get admission into top 5 NITs in CS branch. But you could definitely get admission into the NITs after top 5. Also cutoffs for each year depends on the no. of students who have applied, your tank, percentile and category.
See the previous years cutoff for different NITs to get a clear understanding.
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
For IIITs, use the below link to see previous years cutoff ,
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
Good luck
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