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

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Is the number of members of Club X greater than the number  [#permalink]

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New post Updated on: 14 Aug 2012, 05:25
1
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:42) correct 29% (00:40) wrong based on 93 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-the-number-of-members-of-club-x-greater-than-the-number-128641.html

Originally posted by ong on 05 Aug 2006, 08:26.
Last edited by Bunuel on 14 Aug 2012, 05:25, edited 1 time in total.
OA added.
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New post 05 Aug 2006, 10:03
E .

There is no mention about the number of members for each club...
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Re: PS-- the members of Club X  [#permalink]

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New post 05 Aug 2006, 11:12
ong 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.


Stem Is n(x) > n(y)

(1) x=100, y=80(20 from x) -> n(x) > n(y)

or x= 100, y=120(20 from x) --> n(y) > n(x)

Insuff BCE

(2) y=100, x=70(30 are from y) -> n(y) > n(x)
y= 100, x=130(30 are from y) -> n(x) > n(y)

Insuff CE

(1) & (2)
@ this point guessing E

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New post 05 Aug 2006, 11:39
I'm guessing E. At 20% & 30%, there is no indication for the size relation between the two clubs.
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Re: PS-- the members of Club X  [#permalink]

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New post 05 Aug 2006, 13:23
ong 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.


let there be Z number of members common to both
hence,
St 1 alone : Insuff.

St 2 alone : Insuff

Together
20% of X = Z = 30 % of Y
X/Y= 3/2 > 1

Hence C
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Re: PS-- the members of Club X  [#permalink]

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New post 05 Aug 2006, 14:22
1
n(X)>n(Y)?

S1. n(XnY) = 0.2n(Y) insufficient.
S2. n(XnY) = 0.3n(X) insufficient.

Combine S1 and S2.
0.2n(Y) = 0.3n(X)
n(Y) = 1.5n(X)

n(X) < n(Y) = 1.5n(X) thus sufficient.(n(X) and n(Y) are positive integers)

C it is.
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Re: PS-- the members of Club X  [#permalink]

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New post 20 Jul 2011, 09:59
St 1 alone : Insuff.

St 2 alone : Insuff
For C
0.20x = 0.30y
x/y = 30/20 = 1.5 >1
so x>y.
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Re: Is the number of members of Club X greater than the number  [#permalink]

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New post 31 Aug 2018, 14:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is the number of members of Club X greater than the number &nbs [#permalink] 31 Aug 2018, 14:34
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