Data Sufficiency

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?

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?

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?