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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 11

In a survey of 90 people, 52 like tea, 47 like coffee, and 25 like both. How many like neither tea nor coffee?

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Answer and explanation

Correct answer: 16

People who like at least one beverage are counted by the union formula: n(T ∪ C) = n(T) + n(C) − n(T ∩ C) = 52 + 47 − 25 = 74. The remaining people like neither tea nor coffee, so subtract the union from the total: 90 − 74 = 16. Thus option A is correct.

Tags

setsvenn-diagramsword-problemneitherOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

16

Why is this the correct answer?

People who like at least one beverage are counted by the union formula: n(T ∪ C) = n(T) + n(C) − n(T ∩ C) = 52 + 47 − 25 = 74. The remaining people like neither tea nor coffee, so subtract the union from the total: 90 − 74 = 16. 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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