OG12- Qn no 89

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kishokbabu: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed May 04, 2011 9:50 pmFollowed by: 2 members; Thanked: 2 times

by kishokbabu » Fri Jan 06, 2012 9:33 am

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.

I cannot understand the lengthy explanation of OG, whether anyone can explain in a short and easy
steps?

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Source: Beat The GMAT — Data Sufficiency | Fri Jan 06, 2012 9:33 am

santhoshsram: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Wed Oct 26, 2011 2:30 pm; Thanked: 7 times

by santhoshsram » Fri Jan 06, 2012 11:02 am

IMO C

Let x be the number of employees in club X and y be the number of employees in club Y.

(1) Number of employees in both clubs is 20%x = 0.2x. We know nothing about number of employees in Y. So insufficient.

(2) Number of employees in both clubs is 30%y = 0.3y. We know nothing about number of employees in X. So insufficient.

From (1) & (2) The number of employees in both club should be the same, so 0.2x = 0.3y = > x = 1.5y => x > y => SUFFICIENT

kishokbabu 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.

I cannot understand the lengthy explanation of OG, whether anyone can explain in a short and easy
steps?

-- Santhosh S

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pemdas: Legendary Member; Posts: 1084; Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members; Thanked: 158 times

by pemdas » Fri Jan 06, 2012 11:02 am

this is a set question
we need to find whether membership of club X > membership of club Y?
st(1) implies 20 people out of 100 members in club X are also members of club Y. But we don't know how many members (people) are in club Y. Not Sufficient
st(2) the same logic here as in st(1). Out of n number people in club Y, 30% are in club X. Not Sufficient
combined st(1&2): number people in X*20%=number people in Y*30% OR 0.2X=0.3Y. We can see that X must be greater than Y, as its coefficient is only 0.2 Sufficient

kishokbabu 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.

I cannot understand the lengthy explanation of OG, whether anyone can explain in a short and easy
steps?

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