Mathematical Aptitude - Venn Diagram

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

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6. How many artists are players?

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

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7. How many players are neither artists nor doctors?

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

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8. How many artists are neither players nor doctors?

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9. How many numbers are there between 1 and 100 that are not divisible by 3 and 5?

  • Option : C
  • Explanation : Let us draw a Venn diagram with the information given in the question.
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    Numbers divisible by 3 (3, 6, 9 and so on) = 33
    Numbers divisible by 5 (5, 10, 15 and so on) = 20
    Numbers which are divisible by both 3 and 5 (15, 30, 45, 60, 75 and 90) = 6
    Numbers divisible by 3 or 5 or both 3 and 5 = 27 + 6 + 14 = 47 (alternatively, 33 + 20 − 6 = 47)
    Numbers neither divisible by 3 nor by 5 = 100 − 47 = 53
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