Language – Number of students Arabic – 18 English – 16 French – 14 The table above shows the number of students at Adam Zachary High School who are proficient in Arabic, English and French. Three students know all these three languages, five students know Arabic and English only, six students know Arabic and French only and four students know English and French only. How many different students are there in the school?

GMAT QUANT Problem Solving level 600, Overlapping Sets
Language – Number of students

Arabic – 18
English – 16
French – 14

The table above shows the number of students at Adam Zachary High School who are proficient in Arabic, English and French. Three students know all these three languages, five students know Arabic and English only, six students know Arabic and French only and four students know English and French only. How many different students are there in the school?

A – 25
B – 26
C – 27
D – 28
E – 29