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Sorry to disappoint you but even with having the advantage of reservation you need ti score a rank below 25k to get admission into NITs . With this rank you could only get admission into private engineering colleges however you might get lower branches in NITs if you have state quota.
You can predict what colleges you might get with this rank by going through the link of college predictor tool given below.
https://engineering.careers360.com/jee-main-college-predictor
Hope it helps.
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