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

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ong
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Is the number of members of Club X greater than the number [#permalink] New post   Updated on: 14 Aug 2012, 05:25
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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

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C

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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Re: Is the number of members of Club X greater than the number [#permalink] 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: Is the number of members of Club X greater than the number [#permalink] 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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Re: Is the number of members of Club X greater than the number [#permalink] 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: Is the number of members of Club X greater than the number [#permalink] 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: Is the number of members of Club X greater than the number [#permalink] New post   05 Aug 2006, 14:22
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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: Is the number of members of Club X greater than the number [#permalink] 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] New post   31 Aug 2018, 14:34
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Re: Is the number of members of Club X greater than the number [#permalink]
31 Aug 2018, 14:34
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