Wednesday, September 29, 2010

If the drama club and music club are combined, what percent of

If the drama club and music club are combined, what percent of the combined membership will be male?

(1) of the 16 members of the drama club, 15 are male
(2) of the 20 members of the music club, 10 are male










one thing to note here is that you don't know the overlap, i.e the number of folks in the drama club, who are also members of the music club and vica versa.
Take this example,
20 members of the music club - 10 are male
all those 10 are also part of the drama club,
total ## of unique members: (16+ 20) - 10 = 26
## of males = 15
so % of males : 15/26 * 100

what if all members were exclusive, ie. no overlap
then % of males : 25/26 * 100

Therefore: E

Ans : E

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