GMATprep problem

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GMATprep problem

by princessss » Sun Oct 10, 2010 2:46 am
If x is positive number less than 10, is z greater than average of x and 10?
(1) z is closer to 10 than x on the number line
(2) z= 5x

It is said that A is the correct answer, but how? If we, for example, take 9 for z and 8 for x we get that z is equal to average of x and 10 and therefore not greater. But if we take any other number it is greater. Doesn't that prove that first statement is not sufficient?

Please help
Source: — Data Sufficiency |

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by Geva@EconomistGMAT » Sun Oct 10, 2010 4:03 am
I think I already saw a post on this somewhere. The only way A is the answer is if the phrasing indicates that z is closer to 10 than z is to x, i.e. whatever the midpoint between x and 10, z must be greater than that midpoint (the midpoint being the average). If the phrasing only says that z is "to the right" of x on the number line, then the statement is insuff., as you have indicated. Are you sure of the exact phrasing? Can you post a screenshot?
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by bkobilov » Sun Oct 10, 2010 9:49 am
missing words in 1st statement
Image

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by princessss » Sun Oct 10, 2010 10:42 am
Oh, it makes sense now ... thanks