Manhattan Prep
At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes does not study Japanese?
A. 1/6
B. 5/18
C. 5/12
D. 7/12
E. 13/18
OA E
At a certain high school, the junior class is twice the size
This topic has expert replies
GMAT/MBA Expert
- Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Say, the number of students in the senior class = S; thus, the number of students in the junior class = 2S; thus, the total number of students = S = 2S = 3SAAPL wrote:Manhattan Prep
At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes does not study Japanese?
A. 1/6
B. 5/18
C. 5/12
D. 7/12
E. 13/18
OA E
Number of seniors who study Japanese = S/3;
Number of seniors who do not study Japanese = S - S/3 = 2S/3;
Number of juniors who study Japanese = 2S/4 = S/2;
Number of juniors who study Japanese = 2S - S/2 = 3S/2;
Thus, the total number of students who do not study Japanese = 2S/3 + 3S/2 = 13S/6
Thus, the fraction of the students in both classes who do not study Japanese = (13S/6) / 3S = 13/18
The correct answer: E
Hope this helps!
-Jay
_________________
Manhattan Review SAT Prep
Locations: Manhattan GMAT | Free GMAT Practice Questions | LSAT Prep Courses London | SAT Prep Courses Manhattan | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let the number of juniors = 240 and the number of seniors = 120.AAPL wrote:Manhattan Prep
At a certain high school, the junior class is twice the size of the senior class. If 1/3 of the seniors & 1/4 of the juniors study Japanese, what fraction of the students in both classes does not study Japanese?
A. 1/6
B. 5/18
C. 5/12
D. 7/12
E. 13/18
OA E
Thus, 1/3 x 120 = 40 seniors study Japanese and 1/4 x 240 = 60 juniors study Japanese.
In other words, 80 seniors and 180 juniors do not study Japanese. Therefore, the fraction of the students in both classes not studying Japanese is:
(80 + 180)/360 = 260/360 = 26/36 = 13/18
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews