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Is the number of members of Club X greater than the number

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VP
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Is the number of members of Club X greater than the number [#permalink] New post 07 Apr 2005, 04:19
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A
B
C
D
E

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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.
Director
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 [#permalink] New post 07 Apr 2005, 04:30
Paul wrote:
C
.3Y = .2X
X = 1.5Y


Hi Paul,

But we don't know the initial numbers of x and y. Does this matter?
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 [#permalink] New post 07 Apr 2005, 04:39
We don't need to know the numbers if we know that one is greater than the other on a relative basis
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 [#permalink] New post 07 Apr 2005, 07:49
C it is...

if .2X=.3Y

in other words 20% of X=30% of Y....which number is bigger...X of course!
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 [#permalink] New post 07 Apr 2005, 15:14
Well, its solved already, but thought I'd chip in with my view.

There's an intersection set of X and Y, that has the same number of members. (obviously!).

For that intersection set, they say, is 20% of X and 30% of Y.
This easily gives us relative sizes of X and Y.

Like if 20 is 20% of X and 30% of Y, we know Y is smaller than X.

Hope that helps.
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  [#permalink] 07 Apr 2005, 15:14
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