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Question

The number given in the Venn diagram is the number of persons reading the newspaper.


Then the number of persons reading only two newspapers are:

The correct answer is
45

To find the number of persons reading only two newspapers, we need to analyze the Venn diagram representing the distribution of newspaper readers.

Given:

  • The Venn diagram is divided into different sections representing readers of different combinations of newspapers.
  • We have values inside the intersections: 15, 40, 10, 20, 4, 30, and 25.

Let us interpret the diagram:

  • 15: Readers of Paper-1 and Paper-2, but not Paper-3.
  • 10: Readers of Paper-2 and Paper-3, but not Paper-1.
  • 20: Readers of Paper-1 and Paper-3, but not Paper-2.
  • 4: Readers of all three newspapers, Paper-1, Paper-2, and Paper-3.

To find readers of only two newspapers, we use:

  • Readers of Paper-1 and Paper-2 only = 15
  • Readers of Paper-2 and Paper-3 only = 10
  • Readers of Paper-1 and Paper-3 only = 20

Now, summing these values gives us:

\(15 + 10 + 20 = 45\)

This total represents the number of persons reading only two newspapers.

Thus, the final answer is 45.

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Important Questions from Venn Diagram Problems

  1. In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?

  2. In an examination 20% students failed in Mathematics and 15% failed in English. If 10% failed in both and those who passed in both numbered 300, then the total number of students who appeared in the examination was

  3. In the following diagram, the 'circle' stands for 'soldiers', the 'square' stands for 'Indians', and the 'triangle' stands for 'singers'. The numbers given in the different segments represent persons belonging to that category.

    Which category is represented by the number '5'?

  4. In the following diagram, the circle stands for 'policemen', the square stands for 'sportspersons' and the 'triangle' stands for 'tax-payers' the numbers given in the different segments represent the number of persons in that category.

    How many policemen are tax-payers but are NOT sportspersons?

  5. The letter that represents the artists who are the doctors and dancers only is

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