I have had frustating experiences with this, what I advise you to do is this.
- Replace the disk for around ?15, by Microsoft itself [ If the publisher is Microsoft ]
- Let your XBOX360 to be checked.
- If this occurs too much, say you will take legal action to be refunded.
Note, the 3rd step is a high-risk one but I was in a solid position. My Gears of War 2 disc got scratched 3 times in a month and I paid for every replacement.
I finally told them I am going to take legal action for delivering me a faulty product and letting me pay for replacing my games. In the end, they refunded everything + RE5 as a free game, which is quite shitty might I add.
Call Microsoft Tech Support. Always a free line and check your options. Don't be fed the bullshit there are things online you can check up, always prefer a dialogue.