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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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    Venn Diagrams problems


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    • Options
    • A. Mantle
    • B. Corona
    • C. Crust
    • D. Asthenosphere
    • Discuss
    • 2. Arrange the given words in the sequence in which they occur in the dictionary. i. Harmony ii. Harness iii. Honey iv. Harangue

    • Options
    • A. iii,ii,i,iv
    • B. iv,i,iii,ii
    • C. iv,ii,i,iii
    • D. iv,i,ii,iii
    • Discuss
    • 3. A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. Khilji dynasty, ? , Sayyid dynasty, Lodi dynasty

    • Options
    • A. Mughal dynasty
    • B. Sur dynasty
    • C. Tughlaq dynasty
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    • 4. Arrange the given words in the sequence in which they occur in the dictionary. i. Regular ii. Reinforcement iii. Rainbow iv. Remedy

    • Options
    • A. iii, i, iv, ii
    • B. iv, i, iii, ii
    • C. iii, i, ii, iv
    • D. iii, iv, i, ii
    • Discuss
    • 5. A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. Chhattisgarh, Uttarakhand, Jharkhand, ?

    • Options
    • A. Uttar Pradesh
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    • Discuss
    • 6. In a town of 500 people, 285 read Hindu and 212 read Indian Express and 127 read Times of India, 20 read Hindu and Times of India and 29 read Hindu and Indian Express and 35 read Times of India and Indian express . 50 read no news paper . Then how many read only one paper ?

    • Options
    • A. 123
    • B. 231
    • C. 312
    • D. 321
    • Discuss
    • 7. Out of 120 students in aschool, 5% can play all the three games Cricket, Chess and Carroms. If so happens that the number of players who can play any and only two games is 30. The number of students who can play the Cricket alone is 40. What is the total number of those who can play Chess alone or Carroms alone ?

    • Options
    • A. 45
    • B. 44
    • C. 46
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    • Discuss
    • 8. Main street high school has 10 members on its football team and 14 members on its science club. 5 members at the school belong to both the football and science teams. How many students belong to only science club team or football team?

    • Options
    • A. 9
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    • D. 21
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    • 9. The given ven diagram represents the students who can speak different languages. According to it, the total number of students who can speak exactly two languages is ___.

    • Options
    • A. L+M+O
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    • 10. Which of the following correctly represents the relationship between A) Peak B) Clouds C) Mountain

    • Options
    • A. A)
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