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Hello,
If you want to get 6000 rank then you have to get very good marks in JEE Mains examination. Like for general the marks is in between 160 to 170 for 6000 rank. But you have OBC category certificate but OBC cutoff also low. Soo you can get in between 140 to 160 or 130 to 150 you will get easily any IITs or NITs colleges . You want to be details name's of NITs so you want to go there.
Yes dear if you score this much good and good rank then you will get definitely any NITs. And get your choicable department also. The top 10 NITs are
So you can check above college other colleges also. But for getting this much rank you have to study lots and routine wise. And take care of yourself also.
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All the best
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