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Question

Which one of the following figures correctly represents the relations between Jupiter, Mars and Planets?

The correct answer is

Planetary Relationships Explained

The question asks to identify the correct representation of the relationship between Jupiter, Mars, and Planets using a figure (Venn diagram).

Analyzing the Categories

  • Planets: This is the universal set containing all planets in our solar system.
  • Jupiter: Jupiter is a specific planet within the set of Planets.
  • Mars: Mars is also a specific planet within the set of Planets.

Determining the Relationships

  • Both Jupiter and Mars belong to the larger category of Planets. Therefore, the circles representing Jupiter and Mars must be inside the circle representing Planets.
  • Jupiter and Mars are distinct planets; they do not overlap or include each other. Thus, the circles representing Jupiter and Mars should be separate and not intersecting.

Correct Figure Representation

The correct figure should depict a large circle labeled 'Planets', containing two smaller, non-overlapping circles inside it, labeled 'Jupiter' and 'Mars'. This structure accurately shows that Jupiter and Mars are individual members of the larger group 'Planets' and are distinct from each other.

Option 1 correctly illustrates this relationship.

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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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