I noticed a very unusual problem after updating to iOS 6.1 . My cellular signal is always showing as connected to 3 G despite 3 G being unchecked in the cellular option under settings . This causes a rapid drain on my battery as the 3 G signal is not great in my area. I tried a hard reset but am unable to solve this problem. I normally switch 3 g off as it drains my battery and have excellent battery life on my iphone 5