Not plural though;
The whole of India -- even though it is pretty vast in area -- has a single time-zone country-wide. I am very thankful for this. We already have a lot of other challenges -- including dozens of different languages -- that a single time zone is a relief.
But yes -- the +5:30 offset usually makes for a less-than-ideal factor to plan meetings or follow non local event schedules.
Did I mention we also hate the Summertime / Daylight Saving time adjustments we have to accommodate twice a year when working with western teams -- more adjustment even after most people have already sacrificed on a sane 9-5 schedule to ensure they overlap with EU/US teams for daily work meetings. We cant imagine why US that has multiple time-zones already in a single country, and EU whose countries are often smaller than states in India ... need so much adjustment. Why can't they, for instance, simply declare that school/offices open at 10am instead of 9am for six designated months every year instead of imposing this adjustment on the entire world.