That makes me wonder of the little adaptions they need, that we Minute-Zero-ians ;) don't notice... do many Indian desktops have world clocks, for example?
I just had a look through https://en.wikipedia.org/wiki/List_of_UTC_offsets, because I thought it was just India and some obscure little islands - but some fairly substantial countries (Iran, Afghanistan, Nepal, Myanmar, Sri Lanka) also have non-whole-hour time zones.