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

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Manager
Joined: 08 Oct 2005
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Is the number of members of Club X greater than the number  [#permalink]

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Updated on: 14 Aug 2012, 05:25
1
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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.
Senior Manager
Joined: 14 Jul 2005
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05 Aug 2006, 10:03
E .

There is no mention about the number of members for each club...
Manager
Joined: 20 Mar 2006
Posts: 199
Re: PS-- the members of Club X  [#permalink]

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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

Heman
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05 Aug 2006, 11:39
I'm guessing E. At 20% & 30%, there is no indication for the size relation between the two clubs.
Intern
Joined: 01 Jul 2006
Posts: 19
Re: PS-- the members of Club X  [#permalink]

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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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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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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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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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