Science

Yes Nikhil with these marks you can get into some college of Delhi University. I would suggest that you make a trip to the university office and get to know yourself the cut off percentages of the previous year for various colleges. You wil have an idea, based on which you can mark your your priorities.

Math is an advantage yes. MIT is the number one place to be. But admission is extremely difficult there. It is good to consider Harvard but just considering do not serve the purpose. You have to be prepared for hard work. Sat, sat subject test, extra curricular, social service, school score from grade 9 onwards. Everything is considered

I think integrated Msc is better bcoz after that u will have a master degree too. and both have same scope almost.

yes amity is best for most of the courses. and guarantee placement .so try to get admission in amity