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GMATPREP Q#4

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colors Newbie | Next Rank: 10 Posts Default Avatar
Joined
10 Nov 2006
Posted:
4 messages

GMATPREP Q#4

Post Sun Dec 24, 2006 10:14 am
If 0

Thanks!!

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Post Wed Dec 27, 2006 9:42 pm
Hi colors,

The ranking of expressions in this problem is very important, and often shows in the GMAT in different forms.

Whenever a number is between 0 and 1, the square, cube, and higher powers of the number keep getting smaller. For example, if x = 1/4,
then x^2 = 1/16, and x^3 = 1/256. However, when you take the square root of a number less than one the resulting outcome is larger than x. In the above example, sqrt(x) = 1/2.

x, x^-1, x^2, sqrt x and x^3

The ranking of these expression from smallest to largest is:

x^3, x^2, x, sqrt(x), x^-1

The last term is same as 1/x, which is always larger than 1, if 0
Therefore, the median or the middle value of the set of these numbers is x.

Cheers,
Mark

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