1. Solve this cryptic equation, realizing of

course that values for M and E could be

interchanged. No leading zeros are allowed.

WWWDOT – GOOGLE = DOTCOM

2. Write a haiku describing possible methods

for predicting search traffic seasonality.

3.

1

1 1

2 1

1 2 1 1

1 1 1 2 2 1

What is the next line?

4. You are in a maze of twisty little passages,

all alike. There is a dusty laptop here with a

weak wireless connection. There are dull,

lifeless gnomes strolling about. What dost

thou do?

A) Wander aimlessly, bumping into

obstacles until you are eaten by a grue.

B) Use the laptop as a digging device to

tunnel to the next level.

C) Play MPoRPG until the battery dies

along with your hopes.

D) Use the computer to map the nodes

of the maze and discover an exit path.

E) Email your resume to Google, tell the

lead gnome you quit and find yourself

in whole different world.

5. What’s broken with Unix?

How would you fix it?

6. On your first day at Google, you discover

that your cubicle mate wrote the textbook

you used as a primary resource in your first

year of graduate school. Do you:

A) Fawn obsequiously and ask if you

can have an autograph.

B) Sit perfectly still and use only soft

keystrokes to avoid disturbing her

concentration.

C) Leave her daily offerings of granola

and English toffee from the food bins.

D) Quote your favorite formula from the

textbook and explain how it’s now

your mantra.

E) Show her how example 17b could

have been solved with 34 fewer lines

of code.

7. Which of the following expresses Google□

over-arching philosophy?

A) “I’m feeling lucky”

B) “Don’t be evil”

C) “Oh, I already fixed that”

D) “You should never be more than

50 feet from food”

E) All of the above

8. How many different ways can you color an

icosahedron with one of three colors on

each face?

What colors would you choose?

9. This space left intentionally blank. Please fill it

with something that improves upon emptiness.

10.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?

11.It’s 2 PM on a sunny Sunday afternoon in the

Bay Area. You’re minutes from the Pacific

Ocean, redwood forest hiking trails and world

class cultural attractions. What do you do?

12.In your opinion, what is the most beautiful

math equation ever derived?

13. Which of the following is NOT an actual

interest group formed by Google employees?

A. Women’s basketball

B. Buffy fans

C. Cricketeers

D. Nobel winners

E. Wine club

14.What will be the next great improvement in

search technology?

15.What is the optimal size of a project team,

above which additional members do not

contribute productivity equivalent to the

percentage increase in the staff size?

A) 1

B) 3

C) 5

D) 11

E) 24

16.Given a triangle ABC, how would you use only

a compass and straight edge to find a point P

such that triangles ABP, ACP and BCP have

equal perimeters? (Assume that ABC is

constructed so that a solution does exist.)

17.Consider a function which, for a given whole

number n, returns the number of ones required

when writing out all numbers between 0 and n.

For example, f(13)=6. Notice that f(1)=1. What

is the next largest n such that f(n)=n?

18.What’s the coolest hack you’ve ever written?

19.’Tis known in refined company, that choosing

K things out of N can be done in ways as

many as choosing N minus K from N: I pick K,

you the remaining.

Find though a cooler bijection, where you show

a knack uncanny, of making your choices contain

all K of mine. Oh, for pedantry: let K be no more

than half N.

20.What number comes next in the sequence:

10, 9, 60, 90, 70, 66,?

A)96

B) 1000000000000000000000000000000000

0000000000000000000000000000000000

000000000000000000000000000000000

C) Either of the above

D) None of the above

21.In 29 words or fewer, describe what you

would strive to accomplish if you worked

at Google Labs.