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Question

In the following diagram, the hexagon stands for 'boys', the rectangle stands for 'sportspersons', and the triangle stands for 'musicians'. The letters given in the different segments represent persons belonging to that category.

Which category is represented by the letter 'f'?

The correct answer is

Boys who are musicians but not sportspersons

The c ategory represented by the letter 'f' is shown below:

  1. Musicians who are boys and sportspersons both → b
  2. Boys who are musicians but not sportspersons → f
  3. Boys who are sportspersons but not musicians → d
  4. Sportspersons who are musicians but not boys → c

Hence, 'Boys who are musicians but not sportspersons' is the correct answer.

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Important Questions from Venn Diagram Problems

  1. In a class of 75 students, 40 students participate in Cricket, 28 students participate in Hockey, and 12 students participate in both Cricket and Hockey, whereas 19 students do not participate in any of the two sports. How many students participate only in Hockey?

  2. How many students like french?

    A. 30

    B. 35

    C. 40

    D. 45

  3. What is the ratio of students who like Spanish to those who like German?

    A. 2/3

    B. 1/2

    C. 3/2

    D. 4/9

  4. How many students like only one language?

    A. 65

    B. 70

    C. 75

    D. 85

  5. L and A are classmates as well as good friends. In a class of 30 students, L has 10 unique friends and 5 friends who are common to A. A has a total of 17 friends in the class. How many students are friends with neither L nor A?

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