Quote:
With student and faculty strength being the same a decade ago , student strength in Delta College, which provides technical education, has increased by 100% in the last decade while the student strength in Omega college, which provides non-technical education, has increased by 50%. Faculty strength in both colleges has increased by 20%, during same period.
Which of the following conclusions can be properly drawn based on the above information?
A. Delta College has earned more revenue than Omega College in the last decade.
B. Delta College has admitted more students than Omega College in the last decade.
C. Students have more interest in technical education than in non-technical education.
D. Student to faculty ratio in Delta College is higher than the ratio in Omega College.
E. Decrease in faculty to student ratio is more in Delta College than Omega College in the last decade.
GMATWhiz Explanation
Step 1 – Analysing the stimulus and question stemWith student and faculty strength being the same a decade ago, student strength in Delta College, which provides technical education, has increased by 100% in the last decade while the student strength in Omega college, which provides non-technical education, has increased by 50%. Faculty strength in both colleges has increased by 20%, during same period.
• Facts-
o Delta college –
provides technical education
student strength increased by 100% (doubled) in the last ten years
faculty strength increased by 20%
o Omega College
provides non-technical education
student strength increased by 50% (doubled) in the last ten years
faculty strength increased by 20%
Step 2 – Pre-thinking1. The argument deals with percentage increment in students and faculty in two universities.
2. Delta has a higher percentage increment in students than Omega. But both universities have same percentage increment in faculty.
a. Say Delta- 10 years back had 1000 students and 100 faculty. It now has 2000 students and 120 faculty members.
i. Student to faculty ratio 10 years back = 1000/100= 10:1
ii. Student to faculty ratio now= 2000/120= 16:1 (approx.)
b. Say Omega- 10 years back had 1000 students and 100 faculty. It now has 1500 students and 120 faculty members
i. Student to faculty ratio 10 years back = 1000/100= 10:1
ii. Student to faculty ratio now= 1500/120= 13:1 (approx.)
c. (Even if the student and faculty strength ten years back are taken as different, the results will still be the same)
d. Inference: Student to faculty ratio in Delta has increased more than Student to faculty ratio in Omega.
Step 3 – Answer Choice EliminationOption A AnalysisSince the fees charged by each college is not given, this choice cannot be concluded. This choice is out of scope.
Incorrect Choice.
Option B AnalysisThe argument shows data in percentage, but that doesn’t mean number will also have similar effect. Only if the numbers ten years back were significantly higher for Delta, then this choice might be true, otherwise not
Incorrect Choice.
Option C AnalysisSince we cannot say for sure which college had higher number of students joining the college, student interest cannot be determined. This choice is out of scope.
Incorrect Choice.
Option D AnalysisThis choice is very cleverly worded and is a typical distrotion trap. We can say that the increment in ratio of student to faculty is higher for Delta than for Omega. But ratio of student to faculty in Delta may be lower than that in Omega.
Incorrect Choice.
Option E AnalysisThis is in line with our pre-thinking.
The decrease in faculty to student ratio is for sure lower in Delta due to higher percentage increment in students as compared to percentage increment in faculty. While this trend is lower in Omega due to lower percentage increment in students in response to percentage increment in faculty.
Correct Choice.Could you please help me understand how does the explanation is in line with what option E says?
than Omega College in the last decade.
due to higher percentage increment in students as compared to percentage increment in faculty. While this trend is lower in Omega due to lower percentage increment in students in response to percentage increment in faculty.