Bunuel
Every student at Overland High School receives guidance counseling from either Ms. Hanner or Mr. Land. A review of college admissions data for students graduating from Overland during the last five years shows that, on average, Ms. Hanner was the guidance counselor for fifty-five percent of the students who applied to four-year colleges and forty percent of the students who were accepted at four-year colleges. These figures were quite consistent from year to year over the last five years.
Which of the following can be logically inferred about the past five years from the statements above?
(A) The total number of students graduating from Overland each year has remained roughly constant.
(B) Mr. Land has been assigned the majority of students with poor study skills.
(C) The percentage of applicants who are accepted to four-year colleges is higher among students guided by Mr. Land than it is among students guided by Ms. Hanner.
(D) The career goals of the students under the guidance of Ms. Hanner and Mr. Land have remained largely unchanged.
(E) The overall grade point average of students under Mr. Land's guidance has been higher than the average of students under Ms. Hanner's guidance.
Official Explanation
The words "can be logically inferred" indicate that this is an Inference question. To untangle an Inference question stimulus, just read and paraphrase the statements. There is no argument to analyze. Here, every student at the school is counseled by one of two people. One of the two counselors, Ms. Hanner, counseled fifty-five percent of the students who applied to four-year colleges, and forty percent of the students who were accepted at four year colleges.
Inference questions are typically not predictable. Here, however, one might at least note that since there are only two counselors in the school, and the stimulus gives the percentages for one of the counselors, the percentages for the other counselor can be determined. Since Ms. Hanner was the counselor for fifty-five percent of the students who applied to four year colleges, it must be that Mr. Land was the counselor for the other forty-five percent. Since Ms. Hanner was the counselor for forty percent of the students who were accepted at four-year colleges, Mr. Land was the counselor for the other sixty percent.
(A) does not necessarily follow, because the stimulus gives no information about total students at Overland, just proportions within the total graduates.
(B) cannot be inferred. There is no way to properly link applications and acceptance figures to the quality of study skills.
(C) can be inferred from the stimulus, and is correct. Compared to Ms. Hanner, Mr. Land guided fewer of the applicants but more of the accepted students. Therefore, it must be true that a larger percentage of Mr. Land's students who applied to college were accepted. To verify this, suppose there were 200 applicants and 100 of them were accepted. Ms. Hanner would then have guided 55% of the 200 applicants, or 110 students, and 40% of the 100 who were accepted, or 40 students. Mr. Land would have guided just 90 applicants but 60 of those accepted. A larger fraction of Mr. Land's applicants were accepted, so (C) must be true.
(D) cannot be inferred. There is no information about the career goals of students.
(E) may seem tempting, because the acceptance rate for four-year college is higher for Mr. Land's students (overall) than it is for Ms. Hanner's. But the stimulus doesn't indicate why this is so. It could be that the overall grade point average of Mr. Land's students has been higher, but it doesn't have to be.
TAKEAWAY: It's crucial to keep in mind that on Test Day, an Inference is something that must be true from the stimulus.