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20%,30%

by ska7945 » Sun Aug 17, 2008 3:37 pm
Is the number of members of Club X greater than the number of members of Club Y ?
(1) Of the members of Club X, 20 percent are also members of Club Y.
(2) Of the members of Club Y, 30 percent are also members of Club X.


answer C

i had E because there is no indication of toal # of students.
plz explain.
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Source: — Data Sufficiency |

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by Ian Stewart » Sun Aug 17, 2008 4:21 pm
The key is to notice that both statements talk about the same group of people: the people who are in both X and Y. If x is the number of people in X, and y the number in Y, the two statements tell us:

0.2x = 0.3y
x = 1.5y

So x is greater than y (as long as x > 0).
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