swerve wrote: ↑Mon Jul 20, 2020 11:37 am
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:80. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants?
A. 130
B. 131
C. 132
D. 133
E. 134
The OA is
D
Source: GMAT Prep
Let's do the reciprocal of the given ratio; so the ratio of students to teaching assistants must be LESS than 80 : 3.
80 : 3 => (80/3) : 1
Since the no. of teaching assistants is 5, the ratio [5*80)/3] : [1*5] => (400/3) : 5 must be less than 80 : 3.
(400/3) : 5 => 133.33 : 5
The maximum possible value close to 133.33 is 133. The value 134 would make the ratio greater than 80 : 3, not acceptable.
Correct answer:
D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
GMAT Prep |
ACT Prep |
TOEFL Prep |
IELTS Prep | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
