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# I know it is rather a simple problem, but somehow I do not

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Intern
Joined: 07 Jul 2008
Posts: 5
I know it is rather a simple problem, but somehow I do not  [#permalink]

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05 Oct 2008, 22:28
I know it is rather a simple problem, but somehow I do not come to the correct solution
10^8-10^2/10^7-10^3

A)10^2
B)10
C)10^-1
D)10^3
E)10^6

Correct answer is 10, I always get 10^2 as a solution. what am I missing???

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Manager
Joined: 30 Sep 2008
Posts: 111

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05 Oct 2008, 22:32
can you make this clear?

10^8-10^2/10^7-10^3

or (10^8-10^2)/(10^7-10^3)
Manager
Joined: 25 Aug 2008
Posts: 182
Location: India
WE 1: 3.75 IT
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06 Oct 2008, 00:01
I am assuming question can be expressed as (10^8-10^2)/(10^7-10^3).

(10^8-10^2)/(10^7-10^3) = 10^2(10^6-1)/10^2(10^5-10)
Cancelling 10^2 from numenator and denominator we get

(10^6-1)/(10^5-10^1) = 999999/99990 = 10.009

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VP
Joined: 17 Jun 2008
Posts: 1474

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06 Oct 2008, 00:03
smallsorrow wrote:
I know it is rather a simple problem, but somehow I do not come to the correct solution
10^8-10^2/10^7-10^3

A)10^2
B)10
C)10^-1
D)10^3
E)10^6

Correct answer is 10, I always get 10^2 as a solution. what am I missing???

(10^8-10^2)/(10^7-10^3) = 10^2*(10^6-1)/10^3*(10^4-1) = (10^6-1)/10*(10^4-1) and this approximates to 10^6/10^5 = 10.
Retired Moderator
Joined: 05 Jul 2006
Posts: 1731

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06 Oct 2008, 08:16
smallsorrow wrote:
I know it is rather a simple problem, but somehow I do not come to the correct solution
10^8-10^2/10^7-10^3

A)10^2
B)10
C)10^-1
D)10^3
E)10^6

Correct answer is 10, I always get 10^2 as a solution. what am I missing???

10^2(10^6 - 1)/10^3(10^4 - 1)

using approximation

10^2(10^6) / 10^3(10^4) = 10^8/10^7 = 10
Senior Manager
Joined: 04 Aug 2008
Posts: 362

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06 Oct 2008, 08:32
It seems simple but is actually very tricky, I would be thinking that i am doing something wrong on a real test if I have to approximate the answer and therefore would start panicking.

These types of questions suck

even tho if u break it to real numbers does not help a lot:
100000000-100/10000000-1000
=99,999,900/9,999,000=10.0009900

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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.

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Re: maths question &nbs [#permalink] 06 Oct 2008, 08:32
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# I know it is rather a simple problem, but somehow I do not

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