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DS Overlapping Set

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by waggrave » Tue Aug 30, 2011 6:04 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.

How would you deal with this DS ?
Thanks
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Source: — Data Sufficiency |

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by Anurag@Gurome » Tue Aug 30, 2011 9:34 pm
waggrave 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.

How would you deal with this DS ?
Thanks
Let no. of members in club X = x and no. of members in club Y = y. Then we have find if x > y?

(1) No. of members in club X and Y = 20% of x = 0.2x; NOT sufficient.
(2) No. of members in club X and Y = 30% of y = 0.3y; NOT sufficient.

Combining (1) and (2), 0.2x = 0.3y or x/y = 3/2 or x > y

The correct answer is C.
Anurag Mairal, Ph.D., MBA
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by navami » Tue Aug 30, 2011 11:22 pm
Great Explanation Anurag
This time no looking back!!!
Navami
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by saketk » Wed Aug 31, 2011 1:03 pm
Please see the attachment for the explanation. I used Sets to solve this. [/img]
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