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A club has 74 members. Of these, 29 are in singing, 33 are in painting, and 12 are in both activities. How many members are only in painting?

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Answer and explanation

Correct answer: 21

The painting group has 33 members in total, including the 12 members who participate in both singing and painting. Therefore, members only in painting = 33 − 12 = 21. The club size and singing total are not required for this direct difference calculation. Hence option B is correct.

Tags

setsset-differencevenn-diagramsinclusion-exclusionOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

21

Why is this the correct answer?

The painting group has 33 members in total, including the 12 members who participate in both singing and painting. Therefore, members only in painting = 33 − 12 = 21. The club size and singing total are not required for this direct difference calculation. Hence option B 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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