Hii Sukrit.

Since you have a lots of sweet for your carrer. You have all around opportunities. Coming to the point of college. If you look your Mains rank you may able to get a good NIT'S but if you want the tag of IIT you can also get that one but in that point you don't have the option to choose core branches in top IIT'S eventhough you may get the core branches as well but not in the top IIT'S because branch is a major factor in comparison with college. Coming to the BITS point of view in that your score is well enough to take any branch at any campus and BITS have also the tendancy to compare with IIT'S. So overall i think you should go with BITS option.

Good luck

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