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Hi Disha,
For 84 percentile your rank could lie between 1,30,000 - 1,40,000.
To check eligibility for various NIT Colleges check this link (https://engineering.careers360.com/articles/jee-main-cutoff)
According to the data in above link it is nor possible for you to get NIT/IIIT, But there are NITs which offer home state quota so please check them out.
if you belong to one of those states you can still qualify with your given rank.
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