A major power outage plunged millions in Bangladesh into darkness Saturday -- even the prime minister's official residence.<br/> <br />Local media reports say it was caused by the failure of a transmission power line, which transports electricity from India.<br/> <br />Generators kicked in at the airport and main hospital of the capital, Dhaka, but scores of businesses struggled without power.<br/> <br />Officials have given mixed signals about when power may be restored.