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gmat set ds

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gmat set ds

by sparsh.21 » Thu Jan 15, 2009 3:09 am
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.

i dont understand why the answer is
C IMO its E please explain.....
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Source: — Data Sufficiency |
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Re: gmat set ds

by duccio » Thu Jan 15, 2009 6:10 am
statement (1) tells you that (X/100)*20 belongs to X and Y INSUFF
statement (2) tells you that (Y/100)*30 belongs to Y and X INSUFF
if you combine both statements together you know that the overlapping region of the two sets is the same, so you can write the following equation:
(X/100)*20 =(Y/100)*30 ===> X/Y=3/2 ===> X=(3/2)Y, X>Y SUFF.



sparsh.21 wrote: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.

i dont understand why the answer is
C IMO its E please explain.....
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