1. Solve this cryptic equation, realizing of 2 z3 C; U# r( ]: J+ H3 ?% d- [3 C 5 F# g1 ?# j3 P9 r1 ?$ Mcourse that values for M and E could be9 {' c# o4 U7 N8 c
. y+ X& j6 M/ |, d! Uinterchanged. No leading zeros are allowed. 0 M( a, ^) T+ X! w5 J. C; l }4 o9 I: c2 [) y6 |3 Y9 z+ Z
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WWWDOT - GOOGLE = DOTCOM) I3 U5 |5 ?8 o A/ e/ m8 G
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* V# [0 `% l+ ?5 K3 v: G. z2. Write a haiku describing possible methods7 o$ r6 } U0 K0 v* m% M8 W! z' t' P3 c4 L
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for predicting search traffic seasonality.+ ^; V& E2 p) ]& k$ Q1 k
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9 h/ R8 A! Y3 fWhat is the next line?( h9 P$ d6 @; g& B: o5 n9 B
. L: v! |8 x* N7 r- W * `+ D; B8 o y / p8 d4 ?5 o. M" E4. You are in a maze of twisty little passages,& Z7 j9 Y" w- M# a
& L2 A3 `( x( ?- g7 k$ q$ Fall alike. There is a dusty laptop here with a% y: D7 R+ o: u
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weak wireless connection. There are dull,! e4 E$ l% ^3 `& s3 d: N
" Z; k& s# }- b' c+ V8 Ulifeless gnomes strolling about. What dost , n5 q0 V* Z! Q# D( _+ O6 X/ i. M* V1 L/ E1 X0 L% ~
thou do?& o0 c' x9 Y e U
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A) Wander aimlessly, bumping into5 S8 r# d1 M {/ q
: q: t2 k% A' L4 Dobstacles until you are eaten by a grue. $ R, [! ]8 `: v+ u! l 2 s5 b0 D% g+ V1 z2 gB) Use the laptop as a digging device to. Y! t8 X+ n7 I9 \- _
" y ?4 |9 Z" C% ltunnel to the next level. 3 `; x: p8 }. O. n; A8 X: m, i# p Y2 c) x% J8 i
C) Play MPoRPG until the battery dies % ~0 K# w) o% G. ~& ? ( X0 H* C6 \+ d4 valong with your hopes.7 A' A2 |8 x% s: F* z
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D) Use the computer to map the nodes ) g3 n7 `/ z- [/ g& ~( x$ m6 | " r( N' K; p, |0 {2 j$ _of the maze and discover an exit path. ) N2 q. G5 O+ X) Z) H6 V6 R( q3 S- l
E) Email your resume to Google, tell the ; l/ Y8 O, \' B: V, M ' X& I( ?9 @& Tlead gnome you quit and find yourself" X; C/ N& I4 L# y
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in whole different world. , o j; i: F1 }5 R5 F9 m4 X" P8 W7 H$ e6 g3 j
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5. What's broken with Unix? 9 k# ~- B! a3 d* T1 e M$ i6 _9 a9 z7 G2 Q3 F
How would you fix it? ' o2 k% ^) b/ p4 j 8 u; L2 u: a% y : A' J A. C; J* u9 f; z2 d; M5 n. l9 x$ M: q s
6. On your first day at Google, you discover / d L6 U8 J+ s, v6 K5 \& q0 C2 J a+ G: l: l$ e& k& U
that your cubicle mate wrote the textbook $ }# V' h) v! T8 q & u+ X6 ^' w! x+ Nyou used as a primary resource in your first9 E$ ^5 Q" Y4 c O p
9 v7 h: [0 |' M. L$ M/ Yyear of graduate school. Do you: ; ^3 {4 y, D1 M; M2 X; H' p$ V d6 x* d) O
1 ^: m0 K5 C7 O' Vcan have an autograph.( @ D% G; D& w* U
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B) Sit perfectly still and use only soft ; r' s0 h/ l: _/ e4 ~' S7 a2 [ + T7 v2 J D: E/ G9 pkeystrokes to avoid disturbing her # W4 L* r8 D/ `$ ^4 r % E/ Q7 l: j) ]& T# cconcentration. ' z8 E+ N" l% ~; k9 H0 b% }7 n! @* H( Q
C) Leave her daily offerings of granola 6 z2 { l+ X( R- i/ l% D& L9 J" H4 d% S4 g( c: \
and English toffee from the food bins. " S( S. `% W9 v% m5 v8 B ) J& P D8 s% ?3 F8 N% U0 w C- M/ @$ z
) ]7 u3 z2 S$ N8 ]D) Quote your favorite formula from the- r7 L. o4 e' ]/ f- N" Q: f8 P3 c
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textbook and explain how it's now 0 c) e$ \4 ?! ?) D* M3 l+ D 8 X( H& ^' _! r* ~) d/ xyour mantra. ' w$ x- W' B8 q$ C, w/ c+ B! h
E) Show her how example 17b could 8 b9 |" v0 a+ h y2 J$ b& A/ e2 H* L6 k R2 M% c* |3 l! V8 c
have been solved with 34 fewer lines9 I [' t0 |! u! `
7 A1 Y: F8 _5 e( V* dof code. 5 [7 ^2 l& H, e- @/ c0 r& U ! Y/ [( n+ n+ B7. Which of the following expresses Google0 U R! j" j" y3 j1 T# d
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A) "I'm feeling lucky"- J R% _4 p% E( s
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B) "Don't be evil"1 L( a' E( U+ l. |2 h
; f t# ]& p/ v. `9 S/ Z2 JC) "Oh, I already fixed that" % T1 Z8 a8 F4 }6 p9 q, d' g/ I ! _+ o) @1 p; H& PD) "You should never be more than0 q N/ k: h. b
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50 feet from food" 8 \; a1 F% h: @% x 8 z3 K" l6 G" M9 @; j! _E) All of the above" w, R/ W4 P* ]/ E
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8. How many different ways can you color an 9 ?: E9 G ]4 ` : m) e7 I0 p! Y c: P% n# w/ d* kicosahedron with one of three colors on6 i7 C9 K/ @* m" a, U
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each face?/ i7 _8 o8 i0 r# L% R% e- K
3 z/ l& o9 P7 g3 w q) I2 E. P& s4 x & E& u* e0 N6 Z) d3 G- GWhat colors would you choose? - I+ c7 ~5 v; l- ? i, Z2 |, R5 A $ K! `/ G; X5 k9 n( @& J5 R4 v5 T! _
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9. This space left intentionally blank. Please fill it 2 a4 Y' K' _5 K# _7 v / a4 [$ i, D/ b" pwith something that improves upon emptiness." Z9 ?- [" d$ \# Q
. g1 r' b T9 n- T. ?& `10.On an infinite, two-dimensional, rectangular 6 e& n' ^" X3 k- E" \7 a& b8 x3 k `* Y7 E! Z1 x; S: K' E1 q
lattice of 1-ohm resistors, what is the 1 G9 T$ u$ u$ ]% e+ i+ H; a& x 0 g) Z3 j+ `; V- Dresistance between two nodes that are a , K5 [& I0 \, L3 p0 t- i4 y! [7 q5 u/ | 7 U# \" e, K+ xknight's move away?3 ]$ \. a- f" a- b4 b/ c8 E
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11.It's 2 PM on a sunny Sunday afternoon in the7 B) Q. M( J" \. b7 H6 G7 q- N0 A
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Bay Area. You're minutes from the Pacific , N9 _( R0 J! }* T0 R$ j9 U/ L' ~$ K8 D: ]
Ocean, redwood forest hiking trails and world8 G$ N) s& b$ _0 a* q
- x6 e8 q+ a- B& t- v* Bclass cultural attractions. What do you do? / W$ B$ }$ G% h+ J ! i6 l2 |( l. `/ C! @/ n : w! C; j9 a0 p) D) p8 F* W + J# i8 ?# {$ \2 M; M12.In your opinion, what is the most beautiful % k6 [2 Y. p/ ]. r" u0 y* T& C! b
math equation ever derived? ; `( M5 t# k. T/ k5 f0 q $ m/ p) n$ D' Q3 Y' i, g- m" W N9 }9 g! W% ?7 H
, ~: j/ i4 G S" @% }% D13. Which of the following is NOT an actual' N& Y% G2 k4 d* o5 {
* T, i2 W" N# A3 K9 y3 ^interest group formed by Google employees?+ O$ \! Q5 k0 j' \+ U1 C5 T( e
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A. Women's basketball ( H, V& _! y4 o. W. u. v" D X, k) j0 O/ y+ Z; l* k& q- w
B. Buffy fans* @5 ?8 M8 J' ?" D6 e
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C. Cricketeers q: F* W, }( e8 D+ N! ]+ }6 I/ P3 g# E- g- |. y- f) F
D. Nobel winners! A6 R0 h& c) ^/ {
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D) 11 , D) }) K2 T5 J- c0 [( r8 o! z# y T+ Z: P' j8 E; N
E) 24 ) _- C# s( k' \, c, d% f& E. ^/ Y( L! h( \) w
5 ~' K1 p) T' c H2 ^, ^4 _ ' t4 o3 Y# s w! ]4 U1 {+ c16.Given a triangle ABC, how would you use only# [! R) I/ `# G+ z9 z7 |. c4 Q4 `
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a compass and straight edge to find a point P3 E0 \5 [' ^, w, T2 Q v4 u
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such that triangles ABP, ACP and BCP have 6 P6 e1 I v9 m3 X% t5 y1 p' ?" c3 n 5 H: ^( O0 H) Yequal perimeters? (Assume that ABC is! O) x4 @: \! b! r" k3 Z
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constructed so that a solution does exist.) 1 e2 r. [3 z9 B3 {' Z 4 d7 I- j' [5 x. e0 G% v* H* u# s
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17.Consider a function which, for a given whole ?* A* J4 t$ R/ a- X ; U1 V! F0 e5 Q5 L7 |% U1 n) y6 }number n, returns the number of ones required; V$ P8 r% ?/ p7 D
, }. e; |( Q1 Ywhen writing out all numbers between 0 and n.; ?# r. d1 M6 k( E, Y5 `
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For example, f(13)=6. Notice that f(1)=1. What ( H$ n4 O' D. N- _ ! m) v: [2 S8 R2 bis the next largest n such that f(n)=n?5 L: k, }$ c; M! k- y
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19.'Tis known in refined company, that choosing# i8 |: m/ A4 i, I$ d
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K things out of N can be done in ways as! _1 h5 V% K7 c+ w. D. n+ d
% c7 \( j( `# b* @) L& t1 j3 d! ]many as choosing N minus K from N: I pick K,6 b m" ~. P! S( I) @& h h) ], a
- }" w$ }0 C7 h1 k% Y2 K& ^you the remaining.1 X0 A8 e5 s; `( g x; Y+ D
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: W4 X" c, I% l) @Find though a cooler bijection, where you show 9 w/ h4 d: z! I. s/ ^& G) {6 `8 l* ~- `" N. p8 j# d
a knack uncanny, of making your choices contain }8 L( P- a4 S% f8 X 1 r* G6 L% S/ M, {. k, Call K of mine. Oh, for pedantry: let K be no more: I4 k6 R, o/ `
! J" ~% ~- g7 v+ ], {! \. fthan half N.! o+ w: R9 t: K. |) F5 [) w
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20.What number comes next in the sequence:' {( t1 p+ g8 j/ G, V
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10, 9, 60, 90, 70, 66,?; U7 l" q7 T/ o- b4 g9 y/ i
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