1. Solve this cryptic equation, realizing of / v% k" O2 r. D% U$ z9 Z, l: g Q8 \ D% I4 `
course that values for M and E could be+ s- Y1 {+ e* U+ I4 p
% A+ c* ^8 Y6 M, U# `
interchanged. No leading zeros are allowed. ! d# C7 Y: x3 r g0 b5 r! _! n 3 b( e' k( C1 k5 p3 O. [' f. Z R+ K. a* f7 l4 B% C
5 Z* E8 H5 Y) JWWWDOT - GOOGLE = DOTCOM3 a% L# V& l. N/ f) s0 q8 u, q5 l
# ?5 [1 q I, F5 I* u/ U* f4 |2. Write a haiku describing possible methods9 R8 L2 c$ u7 n- x9 T" x4 @" |& U
/ k9 e8 H* Z( |for predicting search traffic seasonality. $ K/ B x* U6 y& D: ~+ H4 j , p5 @! b: J$ d9 e3 p ) {7 \6 ~0 V3 O7 U: H- p7 }& {3 R
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2 1 # n& T, w3 @* [) L2 F8 j+ V3 a: W$ N: \, b0 U
1 2 1 1 # b/ }2 p4 R1 O3 t2 _& ]& H h- a# x5 N2 n. } l7 E
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$ t* p7 H; e. \% ^* b- m w8 d3 tWhat is the next line?$ ?& s* |1 T9 k, @
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* t& o. `6 {$ q3 a: W4 q; G6 c . \+ e; x6 A+ u2 q) L2 L4. You are in a maze of twisty little passages,; m" b+ _! t r$ Z
+ o8 D% v- V5 I, j: n& xall alike. There is a dusty laptop here with a! v- D% l t! R, Q6 s
4 r# a( K; N4 n# l; R U: @+ Bweak wireless connection. There are dull,4 ?% W$ P; Y* t4 z C3 m
7 P+ X+ l. E ?. e8 e' ?; x
lifeless gnomes strolling about. What dost , b0 t8 q6 z% D; t* s; W+ F3 U" a : K6 l- i& T7 T6 ~) _6 y- Ithou do? + t# y9 X0 G+ s Z+ s& {$ I2 M2 \1 H . P* t) }: N. g7 |8 D1 }7 V; E 5 h& E3 c+ c% f# cA) Wander aimlessly, bumping into/ O' I6 H) ?7 T/ c" a; p
7 @: j1 V( b4 wobstacles until you are eaten by a grue.% w3 [5 g( O) j2 l% |7 ?
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B) Use the laptop as a digging device to9 f. O" Z# C! R$ Y4 E/ U, v
3 l4 @+ n) p9 w' R, ttunnel to the next level. * z( p$ h- E$ J6 J$ e e2 ]. ^6 E+ ?$ R' B6 u# @
C) Play MPoRPG until the battery dies9 n1 |4 w s0 _( a3 v
+ |% ~9 Q; O, d1 c U% W4 s+ g. a9 q- [6 Oalong with your hopes. - o3 Y* |: h2 S& S' |: f( C4 ? - u2 V$ q3 v6 s. [8 w0 w% k& F5 S7 pD) Use the computer to map the nodes- H6 J/ Q# b5 M0 o* [8 I' k& v
( g$ h2 ?7 W* Z# ^5 T U6 |. qof the maze and discover an exit path. . h9 w( o0 \1 e: g% x7 {4 F2 B0 n% U7 N$ d' T8 ]4 X
E) Email your resume to Google, tell the/ \3 G* z. X6 r
O4 F1 `* o" Q( ]2 d' ]lead gnome you quit and find yourself4 m- L4 B0 C% c) M( G. \" A
/ m% V. L- ?7 G( Q& Lin whole different world. % |8 {) m* k/ p% k$ c% w. ~ * z# g5 V" m8 ? " l. G9 J# }) ~7 ]+ ^ t' U$ K4 w7 ~% |8 X
5. What's broken with Unix?% W. Y6 L+ L3 ~0 a4 z/ k
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How would you fix it? 4 c, D1 |4 G/ ^; G# d | 3 c$ n$ w* f) X5 j4 j: c; ~* p. d0 Z; M4 {4 w |- Q% t
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6. On your first day at Google, you discover% L3 M, A E$ E9 J0 Y
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that your cubicle mate wrote the textbook 5 e& |! g- T; y. e 8 L! m& Z7 U2 A4 Jyou used as a primary resource in your first; a* I9 N( k# L
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year of graduate school. Do you: 7 M5 U3 l9 w+ f7 E3 B8 p" [9 L1 `" o, B: ^6 ~, y0 J
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1 }( {2 U( x: P4 U/ b0 C; p. b' JA) Fawn obsequiously and ask if you 0 R- J9 ]( t) B' d. c5 a w8 e. g; }2 X! q1 r2 i! o8 b2 {' t
can have an autograph.2 n% Q2 D* {" ]: _/ ^
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B) Sit perfectly still and use only soft7 r' A' p4 S* r1 W- z
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keystrokes to avoid disturbing her: f8 {# D7 ^! J8 L) t. G/ ]
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concentration. ! @; h8 Y8 T% L" \1 Z' e I % U9 \& W$ j. P$ l% VC) Leave her daily offerings of granola M) B! A$ M# H/ O5 k# s3 {* H1 j+ \7 @8 Z* \4 P ^/ s. u. x5 a
and English toffee from the food bins.$ e p( x! R. D! {3 P$ ~; _
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% w& N0 h4 H/ ~: I) Z0 j e" a5 rD) Quote your favorite formula from the 9 ~' G$ K- V! o9 e o2 P/ D% z( _ " g4 J! z( V% a: o2 stextbook and explain how it's now' d1 P* b' t; V$ T% x9 Y: N
- v* |# L) |% _& `* Ryour mantra. 5 ] n8 j+ P7 q( ^- Y) |6 w' P: p) H, d9 T$ z/ L
E) Show her how example 17b could & v, Z# F7 P# i% r# @7 M 6 \* Q. L( P1 ~6 A9 Ohave been solved with 34 fewer lines ! v% n, P- ` k7 D; c2 N; J 6 r3 }+ X/ C e9 U H' Nof code. $ E( Q, g3 F, N1 {, n! U & u* ~0 }) b. I9 k& ~/ r# g# E$ {7. Which of the following expresses Google& }; L; {. S x5 z1 y8 v2 D$ A! ?
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A) "I'm feeling lucky" . \# c7 t6 N$ n, h2 _0 b) a6 V) i5 Q , t3 o& S/ L' S. F$ l6 `1 AB) "Don't be evil"7 V) M3 X$ H. E4 _* i+ C
) P4 N4 K( O; ]- m8 {$ n7 M
C) "Oh, I already fixed that" $ O) {: H7 b% _3 r1 O4 Y/ F, H1 C f R6 S
D) "You should never be more than 2 W9 @ Z3 P" p f# { . K% b7 S( |& }; W! L- C4 V) {50 feet from food"7 n9 @; L1 T3 r5 R
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E) All of the above 2 [* X8 ^& {- \7 ]* p! m" G* `5 ~6 S* x1 g- o" G: Q3 d+ ~ L
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8. How many different ways can you color an6 W, N8 `# j) A" u$ m* l6 J) Q
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icosahedron with one of three colors on / a1 Z' P9 ` x# l, W0 j$ A4 n 2 _* E$ ^$ \3 _) s% ?) g/ \each face?. o( j U6 Z( s( J0 }4 e
4 Y- y. [ S. r2 o) f
; l9 h n/ z d* R' ?9 K t# g( m2 x- Q4 Z, L1 ]! \What colors would you choose?- A0 X( L7 m1 R1 w# f L% Z$ L
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3 k* W! M8 b. Q1 c! p( W9 m- P9. This space left intentionally blank. Please fill it7 E" G. o4 @3 q0 E7 C
+ T& v' p) l \* a6 D: d8 d
with something that improves upon emptiness. + q7 o. @3 h9 ~ 5 p* d" e/ f! p6 e; p: I# F9 P" K: f4 y h5 ?# m+ l
( H( w- M( k, M8 ]6 T6 W2 S+ V, ]4 P10.On an infinite, two-dimensional, rectangular * f/ K5 _& l: q0 W' x+ o 2 |* t- r2 k1 q! rlattice of 1-ohm resistors, what is the2 A9 n0 j1 I6 k+ x0 w
' F, D- |; B1 ?8 G( Q, ^9 e# Vresistance between two nodes that are a; A8 y5 G' {3 H0 p2 [' p3 f
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knight's move away? 9 v) u9 q d5 ]) J! z8 O ' o7 a* z0 U4 b+ C+ z4 } 4 `- v* u+ P+ o: N* _- I ( @" `+ c# T/ C# R' y; h" p, b11.It's 2 PM on a sunny Sunday afternoon in the8 j' {& p1 `0 j3 t; y, J7 v; t$ W
: c& N) ?2 j' x- D% q Y [3 FBay Area. You're minutes from the Pacific ( W# N0 d5 F' F0 |; o0 k+ T" c4 \
Ocean, redwood forest hiking trails and world v$ Z- ~4 t$ c! Z p' ], h0 Z. ]; _+ X4 ?( h+ b
class cultural attractions. What do you do? }+ b2 J$ v$ E7 K t- x & D8 V6 B; E3 s% K) J+ f. j- P" q& a6 W- D. a, V8 l
4 p* o2 V* J7 F& e3 C8 r3 B; R8 P12.In your opinion, what is the most beautiful; ]9 O' R& }+ \3 q \* D
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math equation ever derived?! q0 h1 M2 q* ]! y/ Z
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13. Which of the following is NOT an actual 3 X- e& s) O+ @ 2 q" ^8 W( I! C$ C7 vinterest group formed by Google employees?0 V4 C/ q3 c* F5 S) e4 s
5 v V4 _- n5 Y! c * n( B! A W4 r4 ? , H9 D' n0 s8 T _) ^2 ~8 IA. Women's basketball & L. P9 M- x3 n* _. C 3 w8 ]2 ^' j$ Q* H! K* Q AB. Buffy fans 6 k% i9 q# w1 y2 Z& n2 K 2 A9 V$ ^* T8 o6 T8 \/ rC. Cricketeers3 J6 q" W; l" h W) l
: v% c Q- Z+ `9 }% `0 e6 c& b
D. Nobel winners $ a5 z9 b: ]1 U. Y; `" w" a6 X 2 C- R$ F, P; O. {2 \. z" ~E. Wine club+ b) M* c+ y* y* u; \ T5 j
: c5 ]8 [; l+ ]! P+ E, w $ }( Q8 Y3 W* A& P; c' u " k& N- ?. I2 m* l% | k14.What will be the next great improvement in 9 V3 C$ ?7 [$ W& f0 k 7 p, \) W1 l0 }8 n' a6 ]' {search technology? 8 m# O; G8 e5 `* }3 E 7 l. a$ P( p( j+ E3 }) W+ R$ O/ G: @# \% ~8 q' U
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15.What is the optimal size of a project team, 1 Z3 B4 H$ Q: w2 d2 w$ F # z$ F+ M$ {% s; x) a5 jabove which additional members do not % ]9 |% u( s% q8 @- x5 a; j. g8 w2 y , t, J5 F$ p! I- V: {, W. rcontribute productivity equivalent to the# s( y& O* E9 N9 z7 O
' Z5 P. C1 q0 ~( d+ m6 a5 E4 _percentage increase in the staff size? 9 t2 G, G4 e7 @# d. D. C0 k2 j/ s* Z) r$ q
A) 1& a& Q' V, M' X' H& a, D5 k; j$ o
1 s0 f$ M% E F. }" n$ i
B) 3 n6 U' s! y1 p1 \! B$ _ ; y6 \- D7 n, u" j! yC) 5 - S' Q- J, [1 b6 E / p: {$ l: g2 A6 G2 kD) 11 . {9 _2 ?$ o7 M8 N, p% m4 W 2 z: M& \0 J+ M) ~! u; y4 EE) 24 O) A! M+ q# G8 M8 u2 ~9 P# q6 Z$ [$ S& V6 D k7 d; P+ g& D8 X/ I
0 ~' I7 j. ] m+ H: ?: Z# q$ Y- _1 T7 |& g( b4 V, ^9 {
16.Given a triangle ABC, how would you use only - L1 ~% p6 O F y0 q C3 t0 j6 G$ ~4 @0 E n# C; g$ I. [6 `
a compass and straight edge to find a point P: [" y7 w$ T6 X( o8 y% U
7 c2 t! S( v" U) U" Q/ R6 A9 nsuch that triangles ABP, ACP and BCP have; _" h p* p6 m6 ~; F: v
; G J# R$ B" ^" T2 {) zequal perimeters? (Assume that ABC is6 O9 K* G6 ]$ ], O; p/ X
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constructed so that a solution does exist.) : f* r( T' H& ?7 U' E; R6 u1 e$ U+ P7 T7 g9 q2 N0 c
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& D. g! @1 j, r" j; @1 O1 Q17.Consider a function which, for a given whole( B$ z3 }3 o6 e6 Q, m
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number n, returns the number of ones required* p& n: Q! s# G* d
5 @2 r3 D0 u/ o6 T7 T+ c1 lwhen writing out all numbers between 0 and n. 1 }' Z3 ~$ u2 _1 \2 Q% S3 p) b " N% e0 H9 O& C! `7 b( i9 U) PFor example, f(13)=6. Notice that f(1)=1. What$ ?: g: S% n/ ]. u$ H: k
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is the next largest n such that f(n)=n? + f& ?, B2 c3 B1 G! W9 O( m0 o+ g' K! Q$ U" ^& s
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" j" f9 O3 i7 N2 U) b18.What's the coolest hack you've ever written? " T5 V3 F7 k, h! f' ^/ M0 p; C; y# E+ s" N# \3 E
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19.'Tis known in refined company, that choosing8 T5 ~; j' x0 [+ H# Q# V5 E
0 `6 k4 N- o# x
K things out of N can be done in ways as ) E8 V# [- Q/ ~ ( H' } U( F: m' K9 q# Z$ _many as choosing N minus K from N: I pick K,+ b$ n$ m' ~0 H& n: K( ~
; R$ w0 l7 y/ J7 f8 syou the remaining. d( z& b1 k' ? v) ?6 S2 Q6 U
1 [* r5 s* d4 o% c' [% t
% a- R7 T% o8 D" q7 a5 Q6 M/ q ! N3 B9 E2 D* [( W3 y5 MFind though a cooler bijection, where you show ! T$ {/ R' C* Y# K/ h. R $ @5 y# i6 _+ I$ Q5 ?; o4 q( Wa knack uncanny, of making your choices contain" T8 N" `* Q9 Z0 k' [
3 o4 F/ v) V: ^% R% Gall K of mine. Oh, for pedantry: let K be no more ( i. Z+ L! i; O" @* u* `; U! S& `+ j; j' T
than half N.- n$ N/ E' ?- |; N3 j7 D2 d
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20.What number comes next in the sequence: 2 T$ U8 w, v2 P- a1 h K! |+ Y ]$ N$ s: R
10, 9, 60, 90, 70, 66,?2 r- N0 H2 G( y/ w, _3 X+ C
/ B& d6 f7 \" f; d
6 i/ t1 j" { n( Z% y/ W& j+ M ' z( z7 T$ T- w1 p. h2 F2 oA)96" `0 U# P1 B' E% C$ Z* D
! M/ V- \# g& r5 U u2 gB) 1000000000000000000000000000000000 P4 d3 K4 @2 O [
: a8 F, D9 a) `( }, e
0000000000000000000000000000000000 ; K& q( P" Y# W( _6 b9 `/ H6 j! s2 p& q. R3 K: H5 {& y. b) ^: _
000000000000000000000000000000000* y5 i0 C+ f* u( Q5 H0 K" s( B& [* _2 A
' S- y9 m; C! Q' I/ rC) Either of the above# g) v: w1 _$ `& }' y
1 O/ S, O3 g) E7 }. K; LD) None of the above P2 l n* X2 O% r. b/ o$ S7 m# e& j) C/ X2 o9 `: J
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21.In 29 words or fewer, describe what you9 X$ p& k4 K2 L: S. r: {
7 c, ]' \8 _; z) D& owould strive to accomplish if you worked $ }' Q$ }5 ?) _9 q 5 L) G) z I6 a( b1 n3 bat Google Labs.
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