rishianand7 wrote: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.
Clearly, neither statement alone is sufficient.
Statements combined:
Case 1: No one is a member of both clubs
Total males = 15+10 = 25.
Total members = 16+20 = 36.
Resulting fraction:
(total males)/(total members) = 25/36.
Case 2: Every male in the music club is also in the drama club, but no females belong to both.
Males in both clubs = 10.
Males in only the drama club = (total males in drama) - (males in both) = 15-10 = 5.
Total males = males in both + males in only drama = 10+5 = 15.
Total members = total music + total drama - males in both = 16 + 20 - 10 = 26.
Resulting fraction:
(total males)/(total members) = 15/26.
Since different fractions are possible, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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