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by Elena89 » Tue Dec 20, 2011 6:01 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.

[spoiler]
How is the correct answer (C) ?[/spoiler]
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Source: — Data Sufficiency |
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by rijul007 » Tue Dec 20, 2011 6:13 am
Elena89 wrote: How is the correct answer (C) ?
No of members in Club X = x
No of members in club Y = y

Combining (1) and (2)
20% of x = 30% of y
x = 3y/2
x > y
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by Anurag@Gurome » Tue Dec 20, 2011 7:06 am
Elena89 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.

[spoiler]
How is the correct answer (C) ?[/spoiler]
Let the total number of members of Club X = X
and the total number of members of Club Y = Y
People who are members of both clubs X and Y = XY

(1) XY = 20% of X or XY = 0.2X
If X = 100, then XY = 20 but we do not anything about the members of club Y; NOT sufficient.

(2) XY = 30% of Y or XY = 0.3Y
If Y = 100, then XY = 30 but here but we do not anything about the members of club X; NOT sufficient.

Combining (1) and (2), XY = 0.2X = 0.3Y, which implies X = 3Y/2, so X is greater than Y; SUFFICIENT.

The correct answer is C.
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by ArunangsuSahu » Fri Dec 30, 2011 8:26 am
20% of x=30% y..correlation
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