Multiple choice general knowledge math & puzzles

Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages?

  1. 18

  2. 53

  3. 62

  4. 36

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the Principle of Inclusion-Exclusion: Total students = $G + F + S - (GF + FS + GS) + GFS$. Total = $25 + 15 + 13 - (3 + 4 + 2) + 0 = 53 - 9 = 44$. Students not studying any = $80 - 44 = 36$.