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  • Question
  • 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 and one person can speak all the three languages, then how many persons are there in the group ?


  • Options
  • A. 21
  • B. 22
  • C. 23
  • D. 24

  • Correct Answer
  • 23 

    Explanation

    Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.

    Tamil ? Number of persons who can speak is 6. Only Tamil 6 ? 2 ? 1 = 3

    Hindi - Number of persons who can speak is 15. Only Hindi 15 ? 2 ? 1 12

    Gujarati ? Number of persons who can speak is 6. Only Gujarati 6 ? 1 = 5

    Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20

    Number of persons who can speak two languages = 2

    Number of person who an speak all the languages = 1

    Total number of persons = 23.

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