NIT

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Check out this college predictor from Shiksha:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
This will help you a lot in finding a good college. Good luck!

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VNIT, Nagpur has got a good rank this time in all India and it also has a good placement statistics if you get any core branch please go for it, it will give you a good career.
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Check out the official website of JOSSA, you will find the opening and closing ranks list of 2016, 2015. This will help you a lot to find out the college. There are also a few college predictors like Shiksha college predictor that can help you

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Once check nitw.ac.in where in you will find the courses offered, their academic details and their placement statistics. This will help you a lot.
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Since every college is having their entrance exams even the probate universities are having the entrance exams so there are very few colleges giving admission on the basis of class 12th board. Also, getting information regarding that is quite difficult so better prepare for any entrance exam.
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Every state has only one NIT so in Maharashtra also we have only one NIT. A Diploma holder cannot get into NITs will give admission to those students who had completed their 12 with maths as a background subject.
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Biotechnology is now a days being up a top branch you can go for further studies like M.Tech else you can go for a job after B.Tech. You will have many opportunities in labs medical pharmacy industry, etc. Hope this got cleared up, good luck!

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You should have a minimum of 70% in your intermediate with maths as a background and your JEE Mains score should be more than 200 for getting top NITs. Read NCERTs. Hope you are clear. Good luck!