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

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

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05 Sep 2007, 07:34
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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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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05 Sep 2007, 10:11
sidbidus 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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

I got C,

1st is not SUFF, says nothing about Y
2nd is not SUFF, says nothing about X

Both combined are SUFF.

the number of people who are in both X and Y clubs is the same.

The number is 20% of X, meanwhile it represents 30% of Y.

0.2X=0.3Y, thus X is always more than Y, works cuz number of members {X&Y} can be represented only by positive intengers, can not be represented by fractions, zeros and negative intengers, in this problem particularly.
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05 Sep 2007, 10:26
Quote:
I got C,

1st is not SUFF, says nothing about Y
2nd is not SUFF, says nothing about X

Both combined are SUFF.

the number of people who are in both X and Y clubs is the same.

The number is 20% of X, meanwhile it represents 30% of Y.

0.2X=0.3Y, thus X is always more than Y, works cuz number of members {X&Y} can be represented only by positive intengers, can not be represented by fractions, zeros and negative intengers, in this problem particularly.

stem 2 doesnt say dat .2x=.3y it can be more or less...v cant assume!

v cant get any ans
X can b 100, 200, 500 etc..same is wid Y it can b 10, 50, 1000 etc..
X can be greater than Y or it can b less..so it is E

Last edited by 12345678 on 05 Sep 2007, 10:34, edited 1 time in total.
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05 Sep 2007, 10:28
12345678 wrote:
v cant get any ans cuz d no. of members of X and Y are not known...
X can b 100, 200, 500 etc..same is wid Y it can b 10, 50, 1000 etc..

You don't need to.
if X/Y = 3/2, then X will always be greater than Y.
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05 Sep 2007, 10:28
12345678 wrote:
v cant get any ans cuz d no. of members of X and Y are not known...
X can b 100, 200, 500 etc..same is wid Y it can b 10, 50, 1000 etc..

common Gmat trap.
=)
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05 Sep 2007, 10:42
IrinaOK wrote:
12345678 wrote:
v cant get any ans cuz d no. of members of X and Y are not known...
X can b 100, 200, 500 etc..same is wid Y it can b 10, 50, 1000 etc..

common Gmat trap.
=)

okk lemme try again..
st1--insuff
st2-insuff
when v combine... supp x=1000 n Y=1000
st1 says in club X 20% members are of Y - so X has 800 + 200
st2 says in club Y 30% are members of X -so Y has 700+300...
bt it doesnt specify that 30% of X represents exactly d same no. of members as 20% of Y... so it can be either X=Y , x>y or x<y

wot is OA?
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05 Sep 2007, 11:04
the 20% of X is equal of 30% of Y so, X has more people than Y.

Ans: C
Senior Manager
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05 Sep 2007, 11:15
12345678 wrote:
IrinaOK wrote:
12345678 wrote:
v cant get any ans cuz d no. of members of X and Y are not known...
X can b 100, 200, 500 etc..same is wid Y it can b 10, 50, 1000 etc..

common Gmat trap.
=)

okk lemme try again..
st1--insuff
st2-insuff
when v combine... supp x=1000 n Y=1000
st1 says in club X 20% members are of Y - so X has 800 + 200
st2 says in club Y 30% are members of X -so Y has 700+300...
bt it doesnt specify that 30% of X represents exactly d same no. of members as 20% of Y... so it can be either X=Y , x>y or x<y

wot is OA?

if club X has 200 members (as you noted above) who have club membership for club Y (too), than there should be the same number of members for club X in Club Y, in other words if there are people who are members for both clubs than they have equal number (i mean same number of people) of members who are members for both. It is not possible that for club X there 200 two-club members and in club Y there are 300 two-club members.
(still seems confusing???)
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05 Sep 2007, 11:19
0.2*x = 0.3*y

x = 1.5*y

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Manager
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06 Sep 2007, 00:45
thanks squirrel..realized my mistake
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