Bunuel
In a high school, some students have single majors while all others have double majors. How many more students have double majors than single majors?
(1) 60 percent of the students in the high school have double majors.
(2) There are 200 students in the high school.
Target question: How many more students have double majors than single majors? Statement 1: 60% of the students in the high school have double majors. This tells us that the remaining 40% of the students have
single majors.
However, since we have no information about the
number of students, there's no way to answer the
target question.
Statement 1 is NOT SUFFICIENT
Statement 2: There are 200 students in the high school.Here we have no information about how the 200 students are broken into single majors and double majors.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 2 tells us there are 200 students
Statement 1 tells us that 60% of those 200 students (i.e. 120 students) have a double major, which means the remaining 80 students must have a single major.
120 - 80 = 40, so
there are 40 more students with double majors Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent