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# 1001^2 -999^2) / (101^2 - 99^2) A - 10 B - 20 C - 40 D - 80

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1001^2 -999^2) / (101^2 - 99^2) A - 10 B - 20 C - 40 D - 80 [#permalink]  26 Feb 2008, 21:36
(1001^2 -999^2) / (101^2 - 99^2)

A - 10
B - 20
C - 40
D - 80
E - 100

What is the fastest way to solve this? Thanks!
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Joined: 28 Dec 2004
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Schools: Wharton'11 HBS'12
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Re: Funny Division [#permalink]  26 Feb 2008, 23:40
this question tests your concepts of (a-b)(a+b)=a^2-b^2

in our case

(1001-999)(1001+999)=1001^2-999^2

also can be written as

2(2000)

(101-99)(101+99)=2(200)

2000/200=10

10 it is
Re: Funny Division   [#permalink] 26 Feb 2008, 23:40
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# 1001^2 -999^2) / (101^2 - 99^2) A - 10 B - 20 C - 40 D - 80

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