Interview Questions - see if you can use them !

The following is a News article from CNN.com. Its about Google recruiting people. And see if you can clear these questions. I realized, i can never even take house keeping jobs there at Google.com

Goes..

Google remains picky about whom it hires, even as its payroll has ballooned from just under 700 employees at the end of 2002 to about 2,700 workers today.

In its quest to identify the programming elite, Google recently inserted an unusual aptitude test in such magazines as MIT's Technology Review, the Linux Journal, Mensa, Dr. Dobbs and Physics Today.

The 21-question test includes such geek brain twisters like, "How many different ways can you color an icosahedron with one of three colors on each face?" and "On an infinite, two-dimensional rectangular lattice of 1-ohm resistors, what is the resistance between two nodes that are a knight's move away?"

The test also includes more subjective, tongue-in-cheek requests like "Write a haiku describing possible methods for predicting search traffic seasonality" and "What is the most beautiful math equation ever derived?"

Google has received an enthusiastic response to the test, said Alan Eustace, the company's vice president of engineering research and systems, though many of the people sending in their answers are economists, professors and other intellectuals more interested in a mental challenge than a job.

Over the summer, Google launched a similarly nerdy recruiting stunt.

Without mentioning its name, Google placed billboards in Silicon Valley and Harvard Square that read: (first 10-digit prime found in consecutive digits of e).com.

Anyone who figured out the correct answer wound up at a Web site that posed another puzzle that, if solved, led to a Google-branded site seeking resumes.

Google isn't always so subtle.

During the last two years, Google has offered cash prizes to computer engineers who compete against each other to solve complex coding problems.