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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 15

In a survey of 90 people, 46 listen to radio, 38 listen to podcasts, and 16 listen to both. How many listen to neither?

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Answer and explanation

Correct answer: 22

First find the number who listen to at least one medium: n(R ∪ P) = 46 + 38 − 16 = 68. The overlap is subtracted because people who listen to both were counted twice. Therefore, those who listen to neither are 90 − 68 = 22. Thus, option A is correct.

Tags

setsinclusion-exclusioncomplementvenn-diagramsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

22

Why is this the correct answer?

First find the number who listen to at least one medium: n(R ∪ P) = 46 + 38 − 16 = 68. The overlap is subtracted because people who listen to both were counted twice. Therefore, those who listen to neither are 90 − 68 = 22. Thus, option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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