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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

    Venn Diagrams problems


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    • 1. 
      The diagram represents Teachers, Singers and Players. Study the diagram and find out how many teachers are also singers.

    • Options
    • A. 4
    • B. 5
    • C. 9
    • D. 13
    • Discuss
    • 2. 
      In the given figure, circles represent students studying 3 different subjects. How many students study all the 3 subjects?

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 1
    • Discuss
    • 3. 
      Indicate which figure will best represent the relationship amongst the three:
      Legumes Seeds, Peas, Kidney Beans

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 4. 
      Lion, Fox and Carnivorous

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 5. 
      School, Women and Children

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 6. 
      Identify the diagram that best represents the relationship among classes given below :
      Food, Curd, Spoons

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 7. 
      In a total population of 70, if 20 drink coffee and tea, 35 drink coffee, then select the correct Venn diagram that shows
      (1) how many drink only coffee?
      (2) how many drink only tea?
      A = Coffee drinkers
      B = Tea drinkers

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 8. 
      In the fig.
      Q represents all quadrilaterals
      K represents all Kites
      R represents all Rhombus
      P represents all Parallelogram
      The statement 'Rhombus is also a Kite' can be described as

    • Options
    • A. P and K is nothing but R
    • B. P or K is nothing but R
    • C. P and R is nothing but K
    • D. P or R is nothing but K
    • Discuss
    • 9. 
      Which venn diagram truly represents Teachers, Scholars and Students?

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 10. 
      Identify the diagram that best represents the relationship among classes given below: Athletes, Sprinters, Marathon Runner

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss


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