Question

In a group of persons travelling in a bus, 6 persons can speak Malayalam, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?
1. 21
2. 22
3. 23
4. 24

Answer 1

Correct Answer - Option 2 : 22

Given - 

6 persons can speak Malayalam

15 can speak Hindi 

6 can speak Gujarati

2 persons in the group can speak two languages

one person can speak all the three languages

According to the question :

Let the number of persons in the group be x.

⇒ total number = 6 + 6 + 15 = 27

⇒ 2 person speak two languages and one person can speak all three language

⇒ x = 27 - 5 = 22

Hence, '22' is the correct answer.