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

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Senior Manager
Joined: 05 Oct 2008
Posts: 263
1001^2)-(999^2)/(101^2)-(99^2) = 10 20 30 50 100 [#permalink]

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24 Dec 2008, 03:57
(1001^2)-(999^2)/(101^2)-(99^2) =

10
20
30
50
100

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Director
Joined: 01 Apr 2008
Posts: 847
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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24 Dec 2008, 04:51
1
KUDOS
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
Joined: 11 Apr 2008
Posts: 198

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24 Dec 2008, 08:22
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
_________________

Nobody dies a virgin, life screws us all.

Manager
Joined: 15 Apr 2008
Posts: 160

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24 Dec 2008, 10:59
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
Intern
Joined: 22 Dec 2008
Posts: 12

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24 Dec 2008, 13:04
1
KUDOS
I have just begun looking at an MBA. I am assuming we cannot use calculators on the exam? Correct? Incorrect?
Manager
Joined: 11 Apr 2008
Posts: 198

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24 Dec 2008, 22:08
_________________

Nobody dies a virgin, life screws us all.

Manager
Joined: 21 Dec 2008
Posts: 72

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28 Dec 2008, 07:14
no need of calculator...GMAT checks basics

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Exponents   [#permalink] 28 Dec 2008, 07:14
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# 1001^2)-(999^2)/(101^2)-(99^2) = 10 20 30 50 100

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