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hello aspirant,
As of now its tough to say because the analysis and also cutoffs change every year due to many factors like total students appearing for exam,difficulty level of paper etc .but based on previous year analysis we can help you with your query.now with 96.70 percentile your rank would be around 33759 -37950.As you did not mention your category considering you from gen category with this rank you will have fair chances to fetch seat in nits but not top branches.to get a personalised report of what all choices you have for your rank refer to:
JEE Main College Predictor – Know your College Admission Chances Based ...
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hope this helps,
thankyou.
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