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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 18

In a class of 64 students, 38 study Mathematics, 32 study Physics, and 20 study both subjects. How many students study exactly one subject?

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Answer and explanation

Correct answer: 30

Students studying only Mathematics are 38 − 20 = 18, because the 20 students studying both subjects must be excluded. Students studying only Physics are 32 − 20 = 12. Therefore, the number studying exactly one subject is 18 + 12 = 30. Equivalently, this is 38 + 32 − 2(20) = 30.

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setsvenn diagramsintersectioncardinalityOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

30

Why is this the correct answer?

Students studying only Mathematics are 38 − 20 = 18, because the 20 students studying both subjects must be excluded. Students studying only Physics are 32 − 20 = 12. Therefore, the number studying exactly one subject is 18 + 12 = 30. Equivalently, this is 38 + 32 − 2(20) = 30.

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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