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First we must understand that IST is exactly 5 hours and 30 minutes ahead of GMT. Eastern Standard Time is exactly 5 hours behind GMT. With MST being another 2 hours behind EST. So now look at this addition problem:

5.5 + 5 + 2 = 12.5 Hours difference from MST to IST

Therefore If we add 12 1/2 hours onto 2:00 PM we result in 2:30 A.M.

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