At OASC the only fittness test you do is the bleep test, no press ups, no sit ups, no 1.5 mile runs. They are done at your fam visit prior to IOT if your are succesful at OASC.
Loads of good threads on OASC on this forums if you search for it.
Beware of some false information about the bleep test. There was a discussion suggesting that the PTI's will stop you when you reach a certain level. That's not true it is a best effort assesment as several of my friends have reported since their visit last week.
Good luck