Mathematical Aptitude - Venn Diagram

1. Out of 40 students, 14 are taking English composition and 29 are taking Chemistry. If 5 students are in both classes, then how many students are in neither class? How many are in either class?

  • Option : A
  • Explanation : venn
    Alternatively: Students taking either English composition or Chemistry = 14 + 29 – 5 = 38
    Hence, students not taking any class = 40 − 38 = 2
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2. In an examination, 52% of the candidates failed in English, 42% in Mathematics and 17% in both. The number of those who passed in both the subjects is

  • Option : B
  • Explanation : Number of candidates failed in English = 52%
    Number of candidates failed in Mathematics = 42%
    Number of candidates failed in both = 17%
    Total failed = 52 + 42 – 17 = 77%
    Passed in both the subjects = 100 − 77 = 23%
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3. If 40% of the people read newspaper X, 50% read newspaper Y, and 10% read both the papers, then what percentage of people read neither of the newspaper?

  • Option : C
  • Explanation : People studying newspaper X or Y = 40 + 50 − 10 = 80.
    Hence, people studying neither X nor Y = 100 − 80 = 20.
    (Candidates can try to solve this question with Venn diagram also.)
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Study the diagram given below and answer each of the following questions.
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4. How many doctors are neither artists nor players?

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Study the diagram given below and answer each of the following questions.

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5. How many doctors are both players and artists?

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