Bunuel
The first-year MBA class at XYZ University is composed of 60 male students and 40 female students. How many male students from the first-year class are taking economics?
(1) Fifty percent of the first-year class is taking economics.
(2) 10 female students from the first-year class are not taking economics.
The "male... female" is a clue that this is an
Overlapping Sets problem.
As always,
rephrase what it's asking for — we are looking for the
"Both" value (both male and taking economics).
Method A: Use the Overlapping Sets formula T (Total) = X (Group 1) + Y (Group 2) - B (Both) + N (Neither)
From the stem, we know:
T = full total = 60 + 40 = 100
X = total males = 60
Y = total taking economics
B =
both male and economics
N =
neither male nor economics (female and not economics)
So, we have 1 equation, with 3 unknown variables. If we are given two of those variables in the statements, we can solve for the final variable.
(1) Y = 50. But we still have 2 variables and 1 equation. Insufficient.
(2) N = 10. But we still have 2 variables and 1 equation. Insufficient.
Together: Since we know Y and N, we now just have 1 variable and 1 equation, so we can solve for B. Sufficient.
Answer is C. Method B: Draw the Overlapping Sets Table 👇Note that, as a habit, I use a check mark (in green below) in place of calculations — to save time on DS, we don't need the actual numbers. If we know 2 of the 3 values in any of the rows or columns, we also know the 3rd value.
Below, I've drawn 3 tables for clarity, but on the test I'd just draw the "Together" table — I write "1)" or "2)" (in orange below) next to the numbers from each statement when I put them in the table. We have to make sure to evaluate each statement separately — when I evaluate statement 2 alone, I visualize erasing the info I've written for statement 1.
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