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Hi,
Your rank seems on the little higher side.
You can check the detailed cutoffs i.e. the trends of the opening and closing ranks of every IIITs on the below link
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
It includes cutoffs of JEE mains 2018 as well as of 2017. Going through cutoffs will clear your doubts and you will know it by yourself whether you can get an IIIT at your rank.
Hope this helps.
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