abhasjha wrote:At a certain high school, there are 20 more female sophomores than male sophomores.How many of the female sophomores are studying geometry?
(1) 20 percent of all the sophomores are studying geometry
(2)15 percent of the male sophomores are studying geometry
The question stem requires that there be 20 more female sophomores than male sophomores.
The following cases satisfy both statements.
Case 1: Male sophomores = 100, Female sophomores = 120
Statement 1: Total sophomores studying geometry = .2(220) = 44.
Statement 2: Male sophomores studying geometry = .15(100) = 15.
In this case, female sophomores studying geometry = 44-15 = 29.
Case 2: Male sophomores = 200, Female sophomores = 220
Statement 1: Total sophomores studying geometry = .2(420) = 84.
Statement 2: Male sophomores studying geometry = .15(200) = 30.
In this case, female sophomores studying geometry = 84-30 = 54.
Thus, when the statements are combined, the number of female sophomores studying geometry can be different values.
INSUFFICIENT.
The correct answer is
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