I have used ADB version 1.0.29, and it could be connected to my LG-F160K (JB 4.1.2) and Nexus 7 (Android 4.2.2 (Jelly Bean)). LG-F160K worked with ADB 1.0.29, but the device status of Nexus 7 was always "offline".
I have downloaded adt-bundle-linux-x86-20130219.zip from the Google Android website, and I can connect to Nexus 7 now. I'm currently using ADB version 1.0.31.
Just download the latest SDK or update your ADB utility.