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Question

Study the given diagram carefully and answer the question that follows.

What is the number of teachers who are NEITHER rural NOR postgraduates?

The correct answer is

85

The least possible Venn diagram for the given information is as follows :

∴ Here, the number of teachers who are NEITHER rural NOR postgraduates is '85'.

Hence, the correct answer is "85".

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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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