Yes. Jaati, jaat. "Kul" as well. People often ask "kis kul se ho" - "what lineage you belong to" - it's supposedly a politer way to ask someone's caste.

And in the region, your last name (sorry, it's just a knowledge I picked up while growing up) is endemic to, it's called "jaayat" or "jaait".

> In Hindi I think

I assumed you are either not Indian or not from that region in the North.

Also, what I meant by saying there are not really terms one should look out for is in professional setups, at least these days, caste is not asked openly but indirectly.