question_answer

In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the two languages, then what percent of the group can speak both the languages?

A) 38%     

B)  62%

C)  28%    

D)  23%

Correct Answer: B

Solution :

Let total number of students = 100 \[\therefore \]27 students speak none of the two languages. It means only 73 students speak either Hindi or English or both. Let x students speak both languages. \[\therefore \]      \[73=70-x+x+65-x\] \[\Rightarrow \]   \[x=70+65-73=62\]