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Hello Vaishali,
With 95.38 percentile in JEE mains you will rank up around 51782 and this is not a good rank for getting NITs. Depending on this year's cutoff you might even see if you are eligible in your home state NITs with bad branches. However there are more colleges that you can get on the basis of your percentile:
To find out more colleges based on your JEE mains performance visit the following link:
https://engineering.careers360.com/jee-main-college-predictor
All the best
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