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  • Question
  • In a group of persons, 11 persons speak Kannada, 20 persons speak Tamil and 11 persons speak Telugu. In that group, if two persons speak 2 languages and 1 person speak all the languages, then how many persons are there in the group?


  • Options
  • A. 40
  • B. 41
  • C. 42
  • D. 43

  • Correct Answer
  • 42 

    Explanation

    According to question ,
    Let us assume Number of Kannada = K , Number of Tamil = T and Number of Telugu = Te
    Here , n(K) = 11; n(T) = 20; n(Te) = 11
    n(K ? T ? Te) = 1
    n(K ? T) = n(T ? Te) = n(Te ? K) = 2
    n(K U T U Te) = n(T) + n(K) + n(Te) - n(K ? T) - n(T ? Te) - n(Te ? K) + n(K ? T ? Te)
    n(K U T U Te) = 20 + 11 + 11 - 2 - 2 - 2 + 1 = 37

  • Tags: Bank Exams

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