BTGmoderatorDC wrote:In a group of 25 people, only three languages are spoken - English, Spanish and German. If there is at least one person who speaks all the three languages, how many people can interact with each other in English and German?
(1) 4 people speak two languages but do not speak Spanish
(2) One fifth of the group speaks more than one language.
OA C
Source: Veritas Prep
Say,
the number of people who speak only English = E;
the number of people who speak only German = G;
the number of people who speak only Spanish = S;
the number of people who speak only English & German but not Spanish = x;
the number of people who speak only English & Spanish but not German = y;
the number of people who speak only German & Spanish but not English = z;
the number of people who speak only German & Spanish & English = a ≥ 1 (given)
We have to get the value of (x + a).
Let's take each statement one by one.
(1) 4 people speak two languages but do not speak Spanish.
=> x = 4. We do not know that value for a. Can't get the value of (x + a). Insufficient.
(2) One-fifth of the group speaks more than one language.
=> x + y + z + a = 25/5 = 5
Can't get the value of (x + a). Insufficient.
(1) and (2) together
Since x + y + z + a = 5 and x = 4 and a ≥ 1, we have only one possible solution from x + y + z + a = 5 and that is a = 1. YThus, x + a = 4 + 1 = 5. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
GMAT Manhattan |
GRE Prep Courses Austin |
ACT Tutoring Tampa |
Chicago IELTS Tutoring | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
