Ok, let's not inconvenience the students anymore with studying then since they're so busy. We should just award them a degree after 4 years of being in the unversity's register.
There is nothing wrong with removing their ability to cheat, but purposefully uploading answer sheets and then getting angry that students made use of them isn't. In fact, it's not just wrong: it's ethically wrong.
The "busy" argument is a poor one. We're all busy. Part of gaining an education is learning how to manage your time. As a professor myself, I know for a fact that most students manage their time poorly, yet many students will still pull the "busy" argument when it simply doesn't apply. Rather, just admit to procrastinating. Either way, the outcome is the same (poor performance).
To sum up my sentiments to cheaters... "Play stupid games, win stupid prizes."