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Subjects
Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 10

In a survey of 160 people, 92 have a mobile phone, 78 have a laptop, and 51 have both. How many people have exactly one of the two devices?

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Answer and explanation

Correct answer: 68

People with only a mobile phone number 92 − 51 = 41, because those with both devices must be removed. People with only a laptop number 78 − 51 = 27. Exactly one device means only mobile or only laptop, so the required number is 41 + 27 = 68. Therefore, option A is correct.

Tags

setsequal sets and subsetsvenn diagramsexactly oneinclusion-exclusionMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

68

Why is this the correct answer?

People with only a mobile phone number 92 − 51 = 41, because those with both devices must be removed. People with only a laptop number 78 − 51 = 27. Exactly one device means only mobile or only laptop, so the required number is 41 + 27 = 68. Therefore, option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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