In 1990, the number of new students admitted to Ph.D. programs each year averaged 1,250 students per university, while the total number of Ph.D. students enrolled averaged 7,500 students per university. By 2000, the number of new students admitted to Ph.D. programs each year had fallen to an average of 900 students per university, while the total number of Ph.D. students enrolled averaged 8,100 students per university.
Which of the following conclusions is most strongly supported by the statements above?The key idea is this:
If a university admits fewer new Ph.D. students each year but has more total Ph.D. students enrolled overall, that strongly suggests students are staying enrolled for a longer time.
In 1990:
7500 / 1250 = 6
In 2000:
8100 / 900 = 9
So the numbers suggest that the average time students remained in the program increased.
(A) The total number of students enrolled in Ph.D. programs increased from 1990 to 2000.
Not necessarily. The figures are averages per university, not totals across all universities.
(B) The average length of time a student remained enrolled in a Ph.D. program increased between 1990 and 2000.
This is the best answer. Fewer new students were entering each year, but more students were enrolled at any given time, which strongly suggests a longer average stay.
(C) The percentage of applicants accepted by Ph.D. programs declined from 1990 to 2000.
We are given no information about the number of applicants.
(D) The number of universities remained constant from 1990 to 2000.
No information is given about how many universities there were.
(E) The demand for Ph.D. degrees declined from 1990 to 2000.
Again, no information about applications or demand.
Answer: (B)