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GMAT Diagnostic Question

Expert replies
Source: — Data Sufficiency |

by Ian Stewart » Tue Jul 29, 2008 10:42 am
From Statement 2, we know the seven remainders must be 0,1,2,3,4,5 and 6. From Statement 1, we only know the range: max - min. We know one of the remainders is 6, and one of the remainders is 0, but we don't know anything about the other five remainders. So the answer should be B.
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by lunarpower » Thu Jul 31, 2008 12:20 am
yeah, like ian said.

range refers only to the difference between the biggest and smallest elements of a collection of numbers. therefore, if the range is 6, we know that the smallest remainder must be 0 (as small as they get) and that the biggest remainder must be 6 (as big as they get).

however, we don't have any information at all about the other five remainders.

therefore, the sum of the seven remainders could be anywhere from
0 + 0 + 0 + 0 + 0 + 0 + 6 = 6
to
0 + 6 + 6 + 6 + 6 + 6 + 6 = 36.

31 different possibilities; that's definitely insufficient.
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