I submitted an application via careers.google.com and received a response a few days after the next month started, just as they promised.

Later, I was told I would have to complete an online test a week later. Two days after completing it, I received a very polite email stating that my candidacy would be rejected.

The questions were fairly simple; my main problem was completing them in time.

The first one required implementing a few formulas (average, standard deviation, and a few more) and using them on approximately 100 sets of numbers.

The second one was a little more complex but still not impossible to do, just requiring a bit more time.

Checking out code.google.com won't hurt.