i have 84 percentile 56007 rank which clg should i prefer

Dear student,

First of all your question is incomplete because you haven't mentioned your examination name and also you have not mentioned your category.

Now, assuming that you got 84 percentile in JEE mains exam from obc category. Because from general category you can not get qualified with 84 percentile score.

Now as your rank is 56007 in jee mains 2020 from obc category then you can not get a seat in any nits, if your belong to other state.

Now if you belong to home state quita then you'd can get some nits like nit sikkim,or nit arunachal pradesh, but the chances are very difficult due to you obc rank of 56007. Also there is no chance of getting iiit.
With this much obc rank chance of getting top gftis are also negligible.

So, better you try at Hbti kanpur or at some other private institutions.

Check out the cutoff Trends for some top BTech branches for different Nits :-

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Also check out the cutoff trend for different top IIITs :-

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

You can also check out the cut off trends for some top GFTIs :-

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis

Also check out our JEE mains college predictor tool to get an appropriate idea of the colleges that you can get on the basis of your JEE mains rank :-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer