iPad - No Audio/Distorted Audio
Your iPad turns on and appears to work, but when you plug in headphones or speakers, the audio doesn't play properly.
It's unlikely your headphones or speakers are bad, but it's worthwhile to eliminate these as the source of your problem at the beginning. Try your iPad with another set of headphones or speakers just to make sure that the problem is with your iPad.
Bad audio jack
The most likely cause of audio output problems on the iPad is a bad audio-out jack. First try a full restore on the iPad to make sure it is not a software issure. If that fails to work, try replacing the audio jack. If that doesn't solve the problem, your logic board most likely needs replacement.