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

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VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
Followers: 2

Kudos [?]: 166 [0], given: 0

Is the number of members of Club X greater than the number [#permalink]  07 Apr 2005, 04:19
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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
Joined: 27 Dec 2004
Posts: 908
Followers: 1

Kudos [?]: 19 [0], given: 0

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?
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4313
Followers: 27

Kudos [?]: 216 [0], given: 0

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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Best Regards,

Paul

Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 181 [0], given: 2

C it is...

if .2X=.3Y

in other words 20% of X=30% of Y....which number is bigger...X of course!
Senior Manager
Joined: 15 Mar 2005
Posts: 421
Location: Phoenix
Followers: 2

Kudos [?]: 12 [0], given: 0

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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Who says elephants can't dance?

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