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Class 10MathematicsSetsVenn DiagramsEasyLevel 14

In a group of 36 people, 17 drink tea, 15 drink milk, and 6 drink both tea and milk. How many people drink only tea?

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Answer and explanation

Correct answer: 11

Let T be the set of people who drink tea and M the set of people who drink milk. The 17 tea drinkers include the 6 people who drink both beverages. Therefore, the number who drink only tea is n(T) − n(T ∩ M) = 17 − 6 = 11. The total group size and milk count are not needed for this calculation, so option B is correct.

Tags

setsvenn diagramsintersectionword problemMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

11

Why is this the correct answer?

Let T be the set of people who drink tea and M the set of people who drink milk. The 17 tea drinkers include the 6 people who drink both beverages. Therefore, the number who drink only tea is n(T) − n(T ∩ M) = 17 − 6 = 11. The total group size and milk count are not needed for this calculation, so option B is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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