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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 17

In a survey, 58 students take online classes, 46 students visit the library, and 21 do both. How many students do exactly one activity?

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Answer and explanation

Correct answer: 62

Students taking only online classes are 58 − 21 = 37, because the 21 students doing both activities must be excluded. Students visiting only the library are 46 − 21 = 25. Therefore, the number doing exactly one activity is 37 + 25 = 62. Equivalently, use 58 + 46 − 2(21) = 62.

Tags

setsexactly-oneword-problemcardinalityOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

62

Why is this the correct answer?

Students taking only online classes are 58 − 21 = 37, because the 21 students doing both activities must be excluded. Students visiting only the library are 46 − 21 = 25. Therefore, the number doing exactly one activity is 37 + 25 = 62. Equivalently, use 58 + 46 − 2(21) = 62.

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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