Is iit bombay a target school for BB's specifically GS nyc for IBD

There aren’t really any schools outside of North America that are “targets” for any NYC banks.

Your best bet would be to get in the Indian or SE Asian office of a US/international I-bank and then transfer.

Yes

1) Work in the resource group that takes on outsourced tasks from NYC bankers.

2) Try to network with the people you do work for.

3) Try to get an internship in NYC at the same bank.

I know someone who did this but for London.

Will be borderline impossible to land a front office NYC role from an Indian university. Sad reality of situation. You'll need to get your MBA in the US most likely. Plenty of folks have done it this way. 

If you gathered 100 bankers in a room, about 40 would consider "iit bombay" a strong full target for Goldman and about 60 would consider it a non-semi target. Either way, you're looking at a strong-full-non-semi target, which is a great spot to be in. Just network hard with your alumni and you should be fine. Don't worry about a thing, plenty of MDs have told me you should just be having fun in college. You're already ahead of the game. Great to meet you and best of luck in the process. 

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why don't shoot for GS TMT, I would not be happy with a weaker group if I were you

Get back to work, i need my PPT reformatted by 10pm!

international students in the US who go to HYPSM, top publics etc. have a hard enough time getting hired for being international students. Your shot from ANY school not in the US is close to 0. Any school in India is literally negative. Real advice would be to drop the pursuit for GS NYC out of undergrad and look for other (more realstic) options as there will be a lot of great opportunities as long as you do'nt get tunnel vision