Interview Questions And Answers Forum

hasnain

Administrator

From: Chichawatni

Registered: 2014-10-13

Posts: 8,355

Website

Enrolled In Either Course:

Question:
In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

Option A):
15
Option B):
24
Option C):
33
Option D):
54

Correct Answer is Option B):
24

Explanation:
You could solve this by drawing a Venn diagram. A simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither
78 = (41-9) + (22-9) + 9 + neither.
Not enrolled students = 24

---

Failure is the first step towards seccess.