All App from AppStore wont launch in iPad3

Question

I have an iPad 3 for one week. No jailbreak.
For about 2 days with no obvious reason. All App from AppStore wont launch (adobe Reader, Skype, etc..).
I've reinstalled / reset all with Apple support (32 hours) and after re-installing my App from App store the problem came again.
All app from apple are OK. (Photo, Mail, Safari etc ...)
I suspect a bug with iOs and all external application outside apple company.
too bad

Answer 1

From JacuesL : I will try this after posting his solution.
PROBLEM SOLVED
I installed iOS 5 on my iPad 1 when it came out in October 2011. Everything worked fine. Sometimes around the beginning of January, apps began to crash. First it was a few a week, but by the eginning of February, most of them would crash after running for a few minutes. Many would not restart untill I did a full reboot. My iPad became essentially useless.
After fighting this problem for almost two weeks, reading as many forums as possible, I did many things that DID NOT solve the problem. Here they are in the order I tried them.
Removed all working programs and rebooting the iPad - no effect
Removed over 50 apps (from 200) that I was not really using - no effect
Restored network setting via setttings - no effect
Restored all settings via settings. This re-installed everything via iCloud - no effect
Connected my iPad to my computer and did a restore and used a previous backup - no effect
Then, I remembered that other people were having problem with iCloud and that I had added services to iCloud around the beginning of the year. So I
Went into settings >> iCloud and disabled every iCloud service except the Find my iPad service. I rebooted my iPad and I have been crash free for three days.
So the problem IS iCloud.
Apple knows that there are other problems with iCloud and plans to fix it in the next release 5.0.2. In the meantime, try my solution and report to this forum if it works for you too.