csatmedium

In a group of persons travelling in a bus, 6 persons can speak Tamil, 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 only and one person can speak all the three languages, then how many persons are there in the group?

  1. A.21
  2. B.22
  3. C.23
  4. D.24
▶ Answer & Explanation

Correct answer: B. 22

This problem can be solved using a Venn diagram to represent the languages spoken by individuals. We are given the total number of speakers for each language and information about overlaps. With one person speaking all three languages and two speaking exactly two languages, we can deduce the number of people speaking only one language. Summing up all these disjoint groups (only Tamil, only Hindi, only Gujarati, Tamil & Hindi only, Hindi & Gujarati only, Tamil & Gujarati only, and all three) provides the total number of people in the group.

Source: UPSC csat 2015

Practice this question with answer tracking

Track your performance, build spaced repetition reviews, and see your weak areas.

Start practising free →