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. \[\therefore \]      \[73=70-x+x+65-x\] \[\Rightarrow \]   \[x=70+65-73=62\]