Question

In a class, 6 students can speak Gujarati, 15 can speak Hindi and 6 can speak Marathi. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class


1) 21
2) 22
3) 23
4) 24

Answer 1

30 student are there in class

Answer 2

Given:

Students speaking Gujarati = 6

Students speaking Hindi = 15

Students speaking Marathi = 6

To Find:

Total number of students in the class

Solution:

People can speak Gujarati, Hindi and Marathi

Thus,

Only Gujarati speakers -

=  6 - 2 - 1

= 3

Only Hindi speakers -

= 15 - 2 - 1

= 12

Only Marathi speakers -

= 6 - 1

= 5

Hence, the number of students who can speak only one language is -

3 + 12 + 5

= 20

Number of students who can speak two languages = 2

Number of students who an speak all the languages = 1

Therefore, total number of students in the class

= 20 + 2 + 1

= 23.

Answer: Total number of students in the class is 23.