In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?
(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish.
OA D
Source: Official Guide
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
In Jefferson School, 300 students study French or Spanish or
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
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
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
SayBTGmoderatorDC wrote:In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?
(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish.
OA D
Source: Official Guide
# of students who study only French = F;
# of students who study only Spanish = S;
# of students who study both French and Spanish = B
Thus, we have
300 = F + B + S
Given that 100 of these students do not study French, we have S = 100.
Thus, from 300 = F + B + S, we have F + B = 200.
We have to get the value of B.
Let's take each statement one by one.
(1) Of the 300 students, 60 do not study Spanish.
=> F = 60.
Thus, from F + B = 200, we have B = 200 - 60 = 140. Sufficient.
(2) A total of 240 of the students study Spanish.
=> S + B = 240
Thus, 100 + B = 240 => B = 140. Sufficient.
The correct answer: D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
-
deloitte247
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Given that 300 students study French , spanish or both and there is none who study neither french nor Spanish
300=French + Spanish -(Both french and spanish)
If 100 of the students do not study french, that means (Spanish)-(Both) =100 hence
300=(French) + 100
French = 300-100=200
Question= How many of these students study both Spanish and French?
Statement 1
Of the 300 students, 60 do not study Spanish.
(French)- (Both)= 60 From the question, we know that (French)= 200
200-(Both)= 60
Both=200-60=140 students
Statement 1 alone is INSUFFICIENT
Statement 2
A total of 240 students study Spanish.
(Spanish)=240
(Spanish)-Both=100
Both= (Spanish)-100
Both=240-100=140 students
Statement 2 alone is also sufficient
Both statement alone are SUFFICIENT
$$answer\ is\ Option\ D$$
300=French + Spanish -(Both french and spanish)
If 100 of the students do not study french, that means (Spanish)-(Both) =100 hence
300=(French) + 100
French = 300-100=200
Question= How many of these students study both Spanish and French?
Statement 1
Of the 300 students, 60 do not study Spanish.
(French)- (Both)= 60 From the question, we know that (French)= 200
200-(Both)= 60
Both=200-60=140 students
Statement 1 alone is INSUFFICIENT
Statement 2
A total of 240 students study Spanish.
(Spanish)=240
(Spanish)-Both=100
Both= (Spanish)-100
Both=240-100=140 students
Statement 2 alone is also sufficient
Both statement alone are SUFFICIENT
$$answer\ is\ Option\ D$$
