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Hello,
as mentioned in the question, your percentile is 94.11 and the predicted rank will be 51,184. But the april session is not conducted yet. The count for total nmber of candidates will increase so will make your rank to increase. If your rank is below 60K then you can apply for low ranked NITs else try IIIT or other government college.
As you said you have reservation so there will a lower categorical rank for you and shows a scope that you can take an admission into NIT. check if your categorical rank is helping you to get an admission else use your general rank to get an admission.
B.Tech/B.Arch Admissions OPEN
Here are some which you can take into consideration with 51K rank:-
For more details about the previous year cutoff , please visit the link below:-
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
Check the cutoff for year 2019 and know which campus and branch will be suitable for you.
Hope it helps!
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