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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 group of 110 students, 23 students did not participate in any of the two games: Badminton and Chess. 45 students participated in Badminton and 61 students participated in Chess. How many students participated in Badminton only?

  2. In a class of 100 students, every student has passed in one or more of the three subjects, i.e History, Economics and English. Among all the student, 24 students have passed in English only, 14 students have passed in History only 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economies only?

  3. 60 students participated in one or more of the three competitions, i. e. Quiz, Extempore and Debate. A total of 22 students participated either in Quiz only or in Extempore only. 4 students participated in all three competitions. A total of 14 students participated in any of the two competitions only. How many students participated in Debated only?

  4. 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?

  5. How many students like french?

    A. 30

    B. 35

    C. 40

    D. 45

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