Google招聘笔试题
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.
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