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nisha.menon294
- Senior | Next Rank: 100 Posts
- Posts: 44
- Joined: Sat Apr 10, 2010 8:33 am
When they talk about the closest value in such cases, take a judicious look at the choices. In the present case, the choices are far apart in most of the cases.nisha.menon294 wrote:Question from Gmat prep . i would like to know an easier way to solve it if possible. thanks
what is the closest value of 10^8-10^2\10^7-10^3
a)0
b)1
c)10
d)10^2
e)10^3
Try with the smaller degrees of 10 for comparison, as the difference between 10^0 and 10^1 is close to 10^1, hence the difference between 10^0 and 10^2 will be incredibly close to 10^2, and so on. We can now safely predict that 10^8 - 10^2 is incredibly close to 10^8, and that 10^7 - 10^3 is incredibly close to 10^7, such that
(10^8 - 10^2)\(10^7 - 10^3) is incredibly close to 10^8/10^7 = [spoiler]10.
C[/spoiler]
