I had an unlimited-validity-multiple-reentry visa for the US in an old passport. When the passport expired, the page containing the visa was left alone, everything else was mutilated and the whole mess returned to me. I never tested it, but the visa supposedly remained valid.

EDIT: Writing "visa" as if it was a singular noun really feels strange, even if everybody does it. You know, the pages in your passport are labeled "visa" because they can contain many of them...

10 years for Indians too in general.