If i buy an iPhone 5s from US, will i get the international warranty along with it?

No you won't and never have been able to, so if you buy a phone in the US, then the warranty is only valid for the US, so if something goes wrong with the phone you will have take it back to the US in person - no shipping accepted.

You also need to ensure that you buy an unlocked phone from the US for it to work in India and then it will only work on 3G because the frequencies and bands will not be compatible if you buy in the US.

No, U.S. iPhone warranty is not international.

Nobody here knows. This is user to user technical forum, not market watch.