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1001^2)-(999^2)/(101^2)-(99^2) = 10 20 30 50 100

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Senior Manager
Senior Manager
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Joined: 05 Oct 2008
Posts: 273
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Kudos [?]: 57 [0], given: 22

1001^2)-(999^2)/(101^2)-(99^2) = 10 20 30 50 100 [#permalink] New post 24 Dec 2008, 02:57
(1001^2)-(999^2)/(101^2)-(99^2) =

10
20
30
50
100
1 KUDOS received
Director
Director
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Joined: 01 Apr 2008
Posts: 909
Schools: IIM Lucknow (IPMX) - Class of 2014
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Kudos [?]: 234 [1] , given: 18

Re: Exponents [#permalink] New post 24 Dec 2008, 03:51
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Simple solution: use the property a^2-b^2 = (a+b) (a-b)
=
(1001+999)(1001-999) / (101+99)(101-99)
=
(2000)(2) / (200)(2)
=
10

ans. A
Manager
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Re: Exponents [#permalink] New post 24 Dec 2008, 07:22
Another alternative way

(a+b)^2-(a-b)^2=4ab

so the above can be expressed as
(1000+1)^2-(1000-1)^2/(100+1)^2-(100-1)^2
=4*1000/4*100
=10
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Manager
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Joined: 15 Apr 2008
Posts: 169
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Kudos [?]: 10 [0], given: 1

Re: Exponents [#permalink] New post 24 Dec 2008, 09:59
subarao wrote:
Another alternative way

(a+b)^2-(a-b)^2=4ab

so the above can be expressed as
(1000+1)^2-(1000-1)^2/(100+1)^2-(100-1)^2
=4*1000/4*100
=10



i also used the same method. answer is 10
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Intern
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Re: Exponents [#permalink] New post 24 Dec 2008, 12:04
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I have just begun looking at an MBA. I am assuming we cannot use calculators on the exam? Correct? Incorrect?
Manager
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Re: Exponents [#permalink] New post 24 Dec 2008, 21:08
username309. Forget about calculator. You are not allowed even with your watch or a tissue paper.
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Manager
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Re: Exponents [#permalink] New post 28 Dec 2008, 06:14
no need of calculator...GMAT checks basics
Re: Exponents   [#permalink] 28 Dec 2008, 06:14
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1001^2)-(999^2)/(101^2)-(99^2) = 10 20 30 50 100

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