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

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

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New post 05 Oct 2008, 22:28
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Re: maths question [#permalink]

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New post 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)

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Re: maths question [#permalink]

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New post 06 Oct 2008, 00:01
I am assuming question can be expressed as (10^8-10^2)/(10^7-10^3). :-D

(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

Hence B is answer. :-D
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Re: maths question [#permalink]

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New post 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.

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Re: maths question [#permalink]

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New post 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

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Re: maths question [#permalink]

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New post 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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Re: maths question   [#permalink] 06 Oct 2008, 08:32
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