DS Overlapping Set

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waggrave: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Sat Aug 06, 2011 8:56 am

DS Overlapping Set

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

Quote

Source: Beat The GMAT — Data Sufficiency | Tue Aug 30, 2011 6:04 am

GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

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
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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