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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

by dunkin77 » Tue Apr 24, 2007 2:00 pm

Hi,

I thought the answer should be 10^2 but turned out to be 10 -- Can you please show me??

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Source: Beat The GMAT — Problem Solving | Tue Apr 24, 2007 2:00 pm

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

by jayhawk2001 » Tue Apr 24, 2007 9:17 pm

Compared to 10^8, 10^2 is a very small number. So, the difference
is approx 10^8

Similarly 10^7-10^3 is approx 10^7

So, the fraction boils down to 10^8/10^7 = 10

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Cybermusings: Legendary Member; Posts: 559; Joined: Tue Mar 27, 2007 1:29 amFollowed by: 2 members; Thanked: 5 times

by Cybermusings » Wed Apr 25, 2007 4:58 am

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

Take 10^2 common in the numerator
10^2 [ 10^6 - 1]
Take 10^2 common in the denominator also
10^2 [10^5 - 10]

So it becomes 10^2 [ 10^6 - 1] / 10^2 [10^5 - 10]
or 10^6 - 1 / 10^5 - 10
or 1000000-1 / 100000 - 10
or 999999/99990
Approximately 10

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