1. Solve this cryptic equation, realizing of ) z( i w: `* X9 M- [) ?2 `+ F( a4 n) x4 ^6 M, d2 }
course that values for M and E could be 4 _% A3 a4 m. d" h* f9 a # y$ b+ \; g" I( G! k# z1 Iinterchanged. No leading zeros are allowed.3 T5 p3 R5 L+ R
. s3 Q: d4 J6 B7 c3 G5 z! I 4 m4 {1 X- g* D& b* r- g* }0 a z7 G5 f9 m( d/ cWWWDOT - GOOGLE = DOTCOM1 ?* Z5 ^- U; ?) y1 g8 p
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2. Write a haiku describing possible methods8 d# E9 f( w2 x3 _0 o
$ y, Q# O2 C0 i3 N( ^What is the next line? 4 d* d2 N! K6 v. S% q% ?& x8 G# F: U( k" B' Y
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4. You are in a maze of twisty little passages,1 r* Z( h: I6 b; ]8 P8 A7 o
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all alike. There is a dusty laptop here with a ! |! Z% E, R7 V; G1 \9 Y7 A4 _) e- ~
weak wireless connection. There are dull, A, X7 G, y6 I/ Y# J4 b( o
. S8 V, l" \' m5 x; f5 I% {# tlifeless gnomes strolling about. What dost 3 O1 m+ l! F. K 7 w$ J, T2 C, O, ethou do?6 ^, o. N' x# |9 ]9 i
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A) Wander aimlessly, bumping into. s* w" j( e; t/ O4 A9 Z& v
9 R8 t2 \5 U6 i" ]+ I v2 J' Sobstacles until you are eaten by a grue.2 ^1 X7 j( n4 D; p% d- B6 v
. ?1 p" |. w; P1 t2 cB) Use the laptop as a digging device to 0 u2 ?# x( p; P, k- Y9 Z [) u3 d* f; K3 T! A; c% Ntunnel to the next level.9 e; u8 X# b' F5 u9 @+ K3 Q
# e" I* b0 x I! T$ QC) Play MPoRPG until the battery dies- a* |& r- S5 u! R
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along with your hopes. % c3 V, b$ |: k6 X5 R, n4 P/ |! M, w! G* A
D) Use the computer to map the nodes 3 c9 R+ K0 b$ `6 X1 u4 {$ v9 k6 |7 P1 [$ M/ C* i- } V
of the maze and discover an exit path. 8 H7 u k$ Z# Q9 U 0 I1 h: `. b; c% O& E0 J+ CE) Email your resume to Google, tell the6 k @& O3 c1 [% ~+ F% F9 M; ~# j
1 y. ]; a# _. Hlead gnome you quit and find yourself # m7 u7 E1 e8 q1 o( M 9 Y0 \- Q8 l8 q: H1 t- l+ K. U1 S; Iin whole different world.6 g1 |) q6 h8 X
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5. What's broken with Unix?$ S e/ F# j1 ~/ u" ~7 E: @7 S
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How would you fix it? + N8 H: Z' p( }) V7 Q ; J9 p2 Y. u" k ! |1 C& Y# T7 [. Y9 _/ [. D- `4 h" a" r2 o
6. On your first day at Google, you discover& P5 o2 F, @9 M0 t, o2 p
2 E' M& Z3 X* `. M4 Bthat your cubicle mate wrote the textbook& x' C: w. \* u w
& h6 L" @. y1 ?$ byou used as a primary resource in your first9 O/ d) O3 p! v$ j
' Z; F+ s9 M) u# o3 hyear of graduate school. Do you:' H" }0 r, F t& m, g- _( h
! g( D4 }2 S' q: B& E. t# ] $ ?1 Y8 p( a* }# m% y1 i6 K& { G/ L ! M! h& q' x- B& I/ |7 R9 ^2 |A) Fawn obsequiously and ask if you ' J* j( Z( |0 C' z1 V$ M! s, u& @9 X M V5 X
can have an autograph., R/ `9 W' `' }+ I; [
! J0 _3 l; ~+ WB) Sit perfectly still and use only soft ( S! t6 g. V7 Q" ~0 k" @: ]6 E: z l. Q; I
keystrokes to avoid disturbing her x! f8 Z% u) Q& U& _6 N- b I9 \/ n$ c5 l$ t9 @: i9 r' tconcentration./ m7 R, R9 I Y1 }
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C) Leave her daily offerings of granola " Y( Q/ l2 l# ~ ( [# W# V! L2 r6 F4 Y% qand English toffee from the food bins. ' _$ E6 X& l; X# o! m3 y* R: L/ O4 [4 p3 h ?. C$ K( `' _+ `: \
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D) Quote your favorite formula from the ~9 o+ h1 f. y4 f, h- M2 ~; u1 E- O4 {" B
textbook and explain how it's now5 K3 U7 Z; [9 I9 v2 h! a
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your mantra. * j' m ^$ R) K / J) |2 a; n( I; Q6 z: TE) Show her how example 17b could 2 G7 F7 m: B4 [1 ~+ |1 e% l& B3 f8 P' i) v& j
have been solved with 34 fewer lines ' ]9 u i e+ M* a8 ~! M8 R( B% ~ $ @1 S( `; P7 W5 A8 o wof code.+ I2 w: s- @" z- s0 z5 c' i2 j" X- O
. R8 S& S3 G3 S4 s9 J, o1 i7. Which of the following expresses Google 4 O1 j" d3 ]8 Q4 j0 B- E: _ + [* _6 k7 [- N/ J M) tover-arching philosophy?* ~! X7 U1 |2 ]( @# M1 S; t
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$ @( l: ?/ I- O: Y% V6 VA) "I'm feeling lucky"7 }) Z% d( j/ G9 o/ s- [* ]
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B) "Don't be evil"* a% [+ {8 l; l( D$ F
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C) "Oh, I already fixed that" 1 i0 P z& d2 g: P4 A, G2 s& M9 t" e5 t1 S- |4 x% v
D) "You should never be more than m+ V7 ]0 z8 h# g
) |6 a: o4 V7 h9 c+ g- z50 feet from food" " |, Z6 \' ~$ \) l) J4 c ) I N, G: e, \2 ]% B$ B- pE) All of the above ! V! R6 \ |' E' Q4 }. u+ B Y6 b+ P7 c
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8 g& o( D3 o* |8. How many different ways can you color an 7 P9 J% Q7 q- l1 d- k2 X: t% ^$ ? & [+ H% n# _+ t* H" Y8 G7 @! `icosahedron with one of three colors on! P5 ^* F' X# d1 U" V/ R D9 r
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What colors would you choose?/ h# P+ D0 s3 ?, C* G# `
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9. This space left intentionally blank. Please fill it% ^4 q8 @3 \; o, k7 Y; n
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with something that improves upon emptiness. j8 e- W6 |; s* x" r4 d
0 f! [2 z) X) r$ ]% J 6 i2 a" s8 U0 v( H" K) ^- b: D 1 L* {4 ?6 R: R, l4 Q10.On an infinite, two-dimensional, rectangular $ c2 }. R r# L1 n6 F1 u4 p( Q ^. Z/ c, ` B
lattice of 1-ohm resistors, what is the$ G# {1 K) c+ _
. c- I5 a; a8 q7 @" Sresistance between two nodes that are a- s2 E4 k9 f, k/ a6 E8 e
% M5 s$ i0 }; [- l11.It's 2 PM on a sunny Sunday afternoon in the# C# D' k# I% {: S" Q
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Bay Area. You're minutes from the Pacific" L' J2 r7 v z+ V- E' M% y o& P
- W, d, q6 t( D OOcean, redwood forest hiking trails and world& p" @2 i t6 Q4 z: C# W
/ n6 x% h8 `6 H( L% e5 |class cultural attractions. What do you do?( ]7 T5 Y, }; B- Z- q: F
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3 Z8 ^, k! O6 b& o, Z+ o12.In your opinion, what is the most beautiful* @9 M I+ x% X6 k: k) `, t0 p
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math equation ever derived?$ w- k% E/ j$ u4 r; Q% l S
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13. Which of the following is NOT an actual/ A7 ~/ h. r" P2 i
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interest group formed by Google employees? ! R; e) [- {2 g" O) L! Z( q; J) ]& a
7 U6 O3 ?# n4 T9 B4 D: S! @+ E+ M 2 c- U$ J" G1 m% p( K5 B. k: s" LA. Women's basketball5 [0 [9 |) _# Q
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B. Buffy fans 0 R6 U6 Z! z1 A8 }' U9 F+ X8 ?, J; p. _( [. O" B/ S) x1 F5 t- v$ y# s
C. Cricketeers+ \% K9 T' B/ q$ z; y! o' A! X
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D. Nobel winners4 s( K) k& Y) r4 I, v2 |$ P5 d
9 f5 b+ D% z* _3 jE. Wine club # ^2 b" ^/ R0 ~8 h8 m3 e- ?2 K* T4 n+ ^# x0 f0 b) k" G: E
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14.What will be the next great improvement in ! b; l4 X9 }9 E2 `+ E/ C 2 ?$ f8 U7 q: Q6 Csearch technology? ) z" k7 I3 T* K0 ]6 s2 H! n: h9 }2 U2 e+ ?$ s, T
/ h) j4 H. U$ C0 b ; C2 P* c& Z/ O; T( l. ^15.What is the optimal size of a project team, ; x" O% c; O+ h" s4 C; N; F& a+ ~8 d. M% E0 R1 L2 g
above which additional members do not1 x: w1 ~+ h* K
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contribute productivity equivalent to the # h# ?' w1 R- N; F3 D0 i. c, x+ a4 `0 p; q
percentage increase in the staff size? - m1 z* z0 J4 {# v* v6 x. i' i6 G" b9 O- x
A) 1% w* [( v6 _/ ]$ A# u0 c
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B) 3 1 R/ |/ O. P K/ l3 E/ X* Q9 V- ]3 I7 a9 [# a% M j+ e: @
C) 5 S+ F9 c1 j y$ l& P( E% R
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16.Given a triangle ABC, how would you use only 4 \+ @! N2 o( l( y+ H. c+ Q9 S6 Z/ {4 d" r
a compass and straight edge to find a point P: l7 @- j, H) n, u
/ h9 C1 c' j. lsuch that triangles ABP, ACP and BCP have' L J7 @5 W/ p$ M
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equal perimeters? (Assume that ABC is 9 V" {, h* Z" Q5 N9 t5 i+ X n * j! S9 v( A# Y+ v% Fconstructed so that a solution does exist.)4 ]' g. Z! w8 f3 |
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17.Consider a function which, for a given whole; w2 n: g! l' \/ X5 f
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number n, returns the number of ones required7 T& T$ `* e3 X* E, }; }( }
6 i1 @4 I% f; f6 i, m( O7 [9 Cwhen writing out all numbers between 0 and n.2 ?$ G& ?) U- F/ G6 `+ L- Y+ ]) u
+ z: e2 ?, f' W
For example, f(13)=6. Notice that f(1)=1. What6 s! ~) Y! k" X1 I1 u
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is the next largest n such that f(n)=n?% ?' B: a' e/ [ V! b
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18.What's the coolest hack you've ever written?, ~) N! F' l9 B0 f" U& h9 l
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19.'Tis known in refined company, that choosing/ h2 p3 x: M0 ]7 \3 l
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K things out of N can be done in ways as # u* K& \6 ]8 h+ |: ^3 k: X1 }' O1 j- X* v* U- \# ]
many as choosing N minus K from N: I pick K,6 h) \$ v* F3 m7 C* X
' u j# m( r6 ^# A1 z) o6 eyou the remaining. 7 L7 m- E; ?2 r5 T& p" E4 @) \0 t l1 t
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Find though a cooler bijection, where you show 2 N4 S K! T/ s! L* s. M7 Z/ k3 h, u6 `- W
a knack uncanny, of making your choices contain# I* r3 {! j: k* @
- @, `4 p4 e$ J* F6 F0 zall K of mine. Oh, for pedantry: let K be no more' p3 c% M4 x/ W+ D: F
: z1 G' z( T# X1 N2 A: ethan half N.2 l1 O A) H; |
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20.What number comes next in the sequence: . T: X- l; ~1 u' C 3 V6 o* V' g% C10, 9, 60, 90, 70, 66,?0 i: I( Y) E% f1 N- p% I
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$ J/ g$ G; R. ]( C! w7 ]: x/ CA)96: h5 T, c" F8 u; L; C4 T3 c, u
$ f6 _. [+ v; M% n000000000000000000000000000000000 5 K$ O' ^ j9 K- L. j F F# H! i5 z C; ~5 C$ ]% MC) Either of the above + u, O/ o) X% e' j4 v2 U. F" L. s4 G4 z6 ]* B# o
D) None of the above . q8 r' P2 I2 @/ G3 k4 O- v; c' Z8 S ?! V+ }0 a/ n
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4 A3 p9 ?' L( O+ V21.In 29 words or fewer, describe what you" Z p4 V6 j3 j
H3 H' R. H* Y* Fwould strive to accomplish if you worked. b2 x, i% N- Q$ q. o+ I1 }
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