BTGmoderatorDC 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
Say
# 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.
