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Question

The Venn diagram below best represents the relationship among which of the classes given in the options? 

The correct answer is

Students, Cricket Players, Tennis Fans

The given Venn diagram consists of three intersecting circles, each representing a different category. Here’s the step-by-step reasoning for determining the correct relationship among the given options:

  1. Each circle in the Venn diagram intersects with the other two circles, representing overlapping areas of the sets.
  2. The option Students, Cricket Players, Tennis Fans fits this diagram perfectly. Here's why:
    • Some students can be cricket players.
    • Some students can also be tennis fans.
    • Cricket players can also be tennis fans.
    • There can be individuals who are students, cricket players, and tennis fans, which is represented by the intersection of all three circles.
  3. Now, let's consider the other options:
    • Beverages, Tea, Coffee: Tea and coffee both fall under beverages and don’t intersect with each other in an undefined way outside beverages.
    • Sparrows, Birds, Mice: Sparrows are a subset of birds and do not naturally relate to mice as overlapping entities.
    • Women, Mothers, Widows: While women can be mothers or widows, the categories do not intersect in a three-way manner as shown.
  4. Therefore, the correct answer is the option that illustrates individuals can belong to one, two, or all three categories simultaneously, which is only valid for Students, Cricket Players, Tennis Fans.

Hence, the correct answer is Students, Cricket Players, Tennis Fans.

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Important Questions from Venn Diagrams

  1. In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the number of students in the class who like both music and dancing is

  2. How many people play either only volleyball or only chess as per the given Venn diagram?

  3. Study the given Venn diagram and answer the question that follows.

    How many women are either smart or brave or both?

  4. How many people play either only volleyball or only chess as per the given Venn diagram?

  5. Study the given Venn diagram and answer the question that follows.

    How many women are either smart or brave or both?

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