1. Solve this cryptic equation, realizing of6 [( V3 o2 L; W* V
1 K: h: o+ |' j5 ucourse that values for M and E could be 1 \- U- [: R W" `6 @1 n9 F, i; a% U2 j
interchanged. No leading zeros are allowed.2 b7 @, C& y H8 b
8 g3 { [) ]$ Z: V : A9 c/ _+ [7 n: q; n: T/ E5 o; }4 A 4 V+ z/ m8 a }# {WWWDOT - GOOGLE = DOTCOM$ @9 `; x9 [4 E6 G+ l* B+ C5 f
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2. Write a haiku describing possible methods5 Y6 w" ]" n- l" G) c, G
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for predicting search traffic seasonality. - E- u# g2 X {( } b' u2 j2 h/ i5 Y8 f+ J2 r: ^ * t2 Z- {4 C( y ( H# h6 N# k2 {: h" w5 l; O$ O3. + e5 t3 X3 O% y! k8 O- D5 ~* M) H, {0 T, Y# ^) Y
1 ' X; n/ k- U+ r) j* x! b/ A9 {9 X/ z+ |: u
1 1 `% X( O4 F& z9 m; ?+ B2 B% T8 d, `* ~
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1 2 1 1 0 F1 A7 k- }% U/ z8 m 0 N( i) |: z) R0 }5 K1 1 1 2 2 16 F" U* r* |$ z0 q1 D
4 @! @# F6 S2 Z# Y0 V' S ( S1 l9 C( p {0 N " W! F) }; V4 M& t0 IWhat is the next line?' p, K. F9 _ p( y- X
( ?8 T+ k1 G1 n* {% n" R; r ; O9 E, ?+ p, y. {5 F0 k: r 2 H" o' a% X G! j2 X4. You are in a maze of twisty little passages, , v2 m. K0 i# A- W/ v V+ z7 o' R `" q/ ]/ {
all alike. There is a dusty laptop here with a2 H- B0 w* h5 |3 Z6 c+ O3 ^
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weak wireless connection. There are dull, : g( b2 _' @8 D7 T$ a7 ^5 T1 E 8 @% x( o! N! m+ p1 e2 @% K: slifeless gnomes strolling about. What dost % e% y8 `7 J2 w5 T- v; s2 `, x2 [; ?1 X: m/ B% e* |; K$ t% t
thou do? ( R1 D; E0 F' [3 @* |' X9 B3 Q; k8 b: w ]- U" ]& ?7 q( {
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A) Wander aimlessly, bumping into / d$ J5 Z$ O4 D) r7 w) C+ A8 F7 n0 ?6 ^2 P* B$ ~! `8 I
obstacles until you are eaten by a grue. : n, P2 y. a. A3 d1 r9 Q Y0 B2 U+ J6 x( S
B) Use the laptop as a digging device to! B0 x, u# j( |- B0 | B
+ {) q' f& g; a6 ]6 N+ {
tunnel to the next level. - j% A0 N: c7 U, z0 i2 T$ s3 D$ h& t* q4 K2 `0 J. [3 h* W' z6 t; V# b, w
C) Play MPoRPG until the battery dies. Q! M* u$ i: V
0 M) Y* I$ d( [/ I" {along with your hopes. / s' s3 a* k' _2 f, P1 M2 I: P" k) d3 {/ E
D) Use the computer to map the nodes / o) \0 `) z6 n. ^ . ~, [' r* E$ m. o sof the maze and discover an exit path. : e/ y* d+ `! e0 c; x- D 8 a! ?- j: J8 M$ [$ ?1 `# eE) Email your resume to Google, tell the # m6 r2 Q; }. s$ u 6 [2 D+ P$ l* y# ^3 rlead gnome you quit and find yourself. s% Q+ X# l) |) I2 y2 d4 \
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in whole different world. ! W3 i5 r# V4 l7 E; I/ m7 U 8 y! f$ i4 J$ `6 a6 N# _# K! d6 \2 p+ B% ` }0 R& k5 m9 p2 x% M$ V
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5. What's broken with Unix?! k6 I8 {5 h. x( [: S
- [6 U& d" G9 b% D/ N- @+ VHow would you fix it? ' X% }/ h* h* h4 U6 [5 B* } ' x7 |* `$ Y3 v9 x1 j3 l0 s: [; i 9 Z4 ]1 [" U5 H+ r0 {) g$ ^0 S) i+ b8 [0 D) @6 Z* {* |
6. On your first day at Google, you discover 8 _' o+ G# t( A' `9 ] ; o3 W! d+ S" W! e/ C$ `$ n- Vthat your cubicle mate wrote the textbook ! T* H `5 e5 z( K6 L$ K8 D8 O0 E* O/ V
you used as a primary resource in your first, S0 d# D/ I5 Y0 f8 K9 N
2 l+ [8 G3 v0 m1 gyear of graduate school. Do you: 2 A3 ?. Y" t. |5 Z3 Q2 Z* F( L6 d2 U* l5 y9 N. e! J* w% \
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A) Fawn obsequiously and ask if you2 G( x' `/ |8 }. K
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can have an autograph. 8 U. ~! k. ~( A! N {0 r, F1 Z, B2 t) L: v$ v$ C5 F, D! w: p
B) Sit perfectly still and use only soft! z8 z: I& ]/ K* Z3 ^) b
$ g( n+ P6 \8 Hkeystrokes to avoid disturbing her ' g$ u7 t% E" T6 f ) p+ A# ]3 h# fconcentration.5 _, _. ^8 G1 t% S
9 \* N+ `& P/ `- GC) Leave her daily offerings of granola) Y8 N1 y- Q9 M" z3 B8 x
3 [4 q0 B7 p7 x- h5 ^! U6 g+ Rand English toffee from the food bins.: C4 G9 S0 ]9 ^2 n( y
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D) Quote your favorite formula from the " Y I& x9 S, J+ M7 ]0 E. Q0 L) E8 @+ O2 P t
textbook and explain how it's now) A( N( u: p. I+ y+ o
: L% o/ Z. u6 I% P n, b% ?8 jyour mantra. ; N8 L; @& Z0 a, j4 v * w* U+ ]: u& V5 p7 |E) Show her how example 17b could & G9 {9 A7 L0 \ . p1 M. t& W& g6 |have been solved with 34 fewer lines / D. t+ L5 s i1 o! H: Q , r6 o6 [, H3 Q3 r& R% Qof code. " l: O' n' }) i) i/ ]4 E x/ ?9 t* I, h5 D% S+ a( I/ m
7. Which of the following expresses Google ) h. {, Q1 m$ {" C1 ?4 m0 I7 L+ k! F
over-arching philosophy?0 v B; p; F' R+ Z: ^: ^: ?
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A) "I'm feeling lucky"8 F& v9 @/ q( s( I" ^1 X; ?
, f# u5 i5 i4 V4 j1 |B) "Don't be evil"5 G! U8 t4 B, f$ t# \. I% p
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C) "Oh, I already fixed that"7 }' K1 A. R5 k; \/ l' A( q R6 o
C9 B) Y- i( E
D) "You should never be more than & f& Y" ^7 b" A4 I8 A: ?1 [* _7 P3 Q6 r0 U7 z9 [
50 feet from food"4 S2 N# K8 q- f P) f6 @( D
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E) All of the above9 x7 t7 L! i5 L% D
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& C% a* y. v* ~% {) h% I * q3 P' _& Q/ s0 r8 |8. How many different ways can you color an4 a" z7 Y+ X: k
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icosahedron with one of three colors on$ n' B3 a5 G' D2 V, F! c" R- X
* }6 M. k# l6 f! V5 s- beach face?- f e, S% B4 X2 o2 b6 V0 N' I
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' |2 ~: [. H+ R* w# A2 i ) l7 P8 Y' q/ l& d! G- cWhat colors would you choose? 1 J: J; F Y" {$ m' r: B ' {* ]9 n! S3 R) s9 W& p( J 7 z% t Y# {' _7 o ]$ @ ! V; N* h. T8 V2 U9. This space left intentionally blank. Please fill it & i8 D1 r" h9 M3 y# ?" @' a 5 b( h. O. a0 twith something that improves upon emptiness.. I( {7 G0 W8 F6 i8 a
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10.On an infinite, two-dimensional, rectangular ! T; o- W- l( x5 P$ w# r" i6 ~ m3 b7 j
lattice of 1-ohm resistors, what is the : l' q1 p, x$ G3 d3 K * I2 `0 N I' f: ]) c, presistance between two nodes that are a ; {& ]0 s( U4 o, N+ T: Z) k6 d3 }7 P5 `; i& P: ?; i, Q" f/ ?. S* L7 I
knight's move away? ) W$ z5 X/ w+ X4 |0 Z* Q. f7 _% \ : |; [# h( U$ x2 H0 o# T 0 T8 O. a: n2 d; j7 N . y3 ]" J/ V) x' a$ h; L11.It's 2 PM on a sunny Sunday afternoon in the 0 k: c! j1 v2 j k. j5 V5 | B, T" z* l/ ]+ n9 v& X) f
Bay Area. You're minutes from the Pacific - |9 a* w3 o7 {$ V: N/ Y8 [+ ^" \1 r; }+ c C5 F" h) `
Ocean, redwood forest hiking trails and world 6 C, g, c- _- e; ~8 y5 n7 S3 [0 ^# k, B( C5 q$ @
class cultural attractions. What do you do? / Z( R% H& b+ n3 A H7 l) E4 T% ]: @2 p
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$ ~6 X- {+ {; {3 ~9 o4 X9 |12.In your opinion, what is the most beautiful ! |: q6 s, J! k; L: Z : e4 B% S9 c( L' kmath equation ever derived? 9 `$ R' R: z/ x0 b- q. s z , u$ i+ ~7 \2 M, a5 W3 y# |! f. i) H+ W: Q0 @
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13. Which of the following is NOT an actual% a8 W* P) j$ r; E5 r0 z. b
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interest group formed by Google employees? ' n6 o8 a8 g( Z" y1 }7 g4 D" ~$ @, }' I- n, f
+ t8 i9 _0 Z& C: e$ f7 g
$ ?3 `- \6 }8 m. f# RA. Women's basketball 9 b: @. \7 a2 t% F( Q5 ~# o ; ?# d/ Z [. t: d( g) V5 j( VB. Buffy fans) J0 }! l1 a U5 G) w0 C g$ m) q- f t
% X! |" g) Q' B% w* RC. Cricketeers * h, v6 u. r# C5 G0 _* h- V! K ]" }! H0 I' C& M
D. Nobel winners5 Y3 _+ H" p4 S
. ~# X: K4 G# C& E ^( S2 \2 SE. Wine club $ {5 `3 U) R# Z- f; Q4 C& s. J, B( w! G N0 q: ]
_( i4 F, c& I# g# w 5 b5 ?: u# `( Q, Z14.What will be the next great improvement in , s# G* `! M* V, I% Z% g! k' s) j' q3 u8 A$ z( p
search technology? 7 f5 J4 j/ g& I: O8 D/ m # g7 f2 A8 n$ @! U4 W/ z" ]3 [3 Z( f& s" s
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15.What is the optimal size of a project team, # l d) R. H2 o1 h' L ( N6 |: I. t7 d ?9 Nabove which additional members do not ( |) g5 l. {6 R3 \ v0 y' m9 Q7 M/ ^& X' B$ ]5 a% F0 N. }
contribute productivity equivalent to the3 r6 `7 j$ |/ R9 `4 _! w( X
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percentage increase in the staff size? - u4 q4 I9 k# }* N9 ?/ a3 |% S3 N; r$ W6 W' a
A) 1 ) E. n! \$ H7 R+ V. ] 9 z7 ~! t& x+ p, r; w/ b: oB) 3 & e$ t7 x+ j9 S$ P4 B2 d% L0 _ : Q1 a% u/ j* l3 E8 Y( k8 EC) 5 1 i! ~7 {+ t; C! ^1 e" u$ M( Q& k; _$ h, Y H- W
D) 11 " ]" F+ s5 l3 L& s3 k , m( Y- z4 O; q, rE) 240 e1 L2 \8 d `- m; V; ]3 P& E
3 E; U/ a+ u0 O% G+ V16.Given a triangle ABC, how would you use only% ?* s3 x" y) ?7 S! g* ?
- W) M+ C4 W' u$ W' G" j) qa compass and straight edge to find a point P: K) [( ^. x4 c' [- I* o
& |3 \/ ?% I3 Q* W% y7 d" |, q# N6 ?6 isuch that triangles ABP, ACP and BCP have 8 g# M4 {% k" F1 t# f6 b4 _' v( Y
equal perimeters? (Assume that ABC is O) {5 |3 c' {! t/ ~, [. ~5 S) Z- b8 j
" _0 J+ F0 O S7 c3 xconstructed so that a solution does exist.)% Y- J5 T& \3 O, O9 ^- Q
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1 C( L. ]6 }( c4 f0 l17.Consider a function which, for a given whole : X7 T0 v0 n( i9 j2 j7 M+ A( t$ l" c5 @ V( p3 @
number n, returns the number of ones required7 [/ z- d; \& ~
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when writing out all numbers between 0 and n.0 c- }' o, w9 M3 A) z" }) l
1 \2 i1 i" q" n& S" w: WFor example, f(13)=6. Notice that f(1)=1. What& o ?% S4 o \7 T' A) Z' t1 A
0 j$ {, V( ?# v8 M( _" M$ m, l
is the next largest n such that f(n)=n? 0 m% j; w6 R" |. } - c5 u P" `- G7 V% h. x7 x- P6 n& P/ j
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18.What's the coolest hack you've ever written?- f. r7 f. d! l! q
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19.'Tis known in refined company, that choosing2 O1 u8 @4 z- \+ J1 d7 L! ]# m0 N
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K things out of N can be done in ways as ; h; j8 e" Q9 t8 f0 ^/ E- }1 u+ P% J2 b s6 k
many as choosing N minus K from N: I pick K, $ ]& p" y6 |$ b1 g, d; _ 1 P* c+ I3 |4 n0 cyou the remaining.- Q3 P) \7 A% X% R* G U7 w3 I2 b2 L
: _1 D& j1 O- d' ?! o7 i4 u8 i6 M$ i. K" C+ ^
/ g# M0 r) @( Y3 A+ W3 g- I8 ?9 ?Find though a cooler bijection, where you show ( ?7 }2 Z8 o) u7 V5 ^9 v( i! Y* b8 X* `: J% w9 B9 q
a knack uncanny, of making your choices contain: H. R7 a0 R% O) P' }- o& D
1 G9 R4 U) f7 q, h3 r1 w f
all K of mine. Oh, for pedantry: let K be no more 4 d$ j. o" J3 ^! D+ Y2 |; a6 J' j5 K& ?" @0 s3 W$ E: v
than half N.; l" \5 O* P" a& Y) W
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20.What number comes next in the sequence: 5 J7 {( u6 l; K6 M* ~& G5 I8 D' P% O) x3 k. O/ N& R
10, 9, 60, 90, 70, 66,?# s1 J8 ]9 c; N3 n: g
: X3 r4 p; m- b; m% A$ O( m9 b2 t6 h }" B0 `
# V7 }' O( s0 @# d' C% w
A)96 $ [- o3 P g" ~* @7 b3 k1 } ' P' g2 k6 z2 w7 V( zB) 10000000000000000000000000000000001 V) y. K# t3 g4 A
2 r) Q7 B' ~* ]; x1 E: p0000000000000000000000000000000000 & ?/ V# N8 O7 G: x3 ]4 c- _6 f5 R - G9 x2 t- i: e9 x! A6 [000000000000000000000000000000000 " U1 g% n* F& G. P8 \: k: @9 y4 d" \. ~9 k7 u3 b5 Y& A$ y7 J' v
C) Either of the above5 v: d! ?+ q$ ^* M) n& |; s" e
P) u; \' g, d( Q: F( ?D) None of the above/ j; f7 ^$ V) ~* g" v
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21.In 29 words or fewer, describe what you6 H3 p% y- G' p) c$ v
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would strive to accomplish if you worked , \% c8 M! L: [, V6 ?* g+ z; \) V5 r! S1 R0 B c# p
at Google Labs.
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