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Hello Aspirant,
96 percentile in JEE Mains was big deal and your sister was belong to OBC category so getting admission in NITs was easy, but decent college are available.
So, you will get one but you have to be patient and very smart while counselling. You will not get any seat in first few rounds but if you wait patiently and do proper counselling, you will get one for sure!
Hope I solve your query.
All the best!!!!
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