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Hey!
According to previous years cutoffs, candidates must have at least 250-260 score and around 10 lakhs students appear for exam so your percentile must be around 98-99. Well, you have 96.7 percentile which might give you chance to get admission in Iiit. However it is possible that you might not get seat of your wish.
To check more kindly visit the link given below
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits/amp
Good Luck
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