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

In a group, 32 students play cricket, 24 play football, and 12 play both. How many students play only football?

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Answer and explanation

Correct answer: 12

The 24 football players include the 12 students who play both football and cricket. Therefore, the number who play football only is found by subtracting the intersection: 24 − 12 = 12. The value 20 is the number who play cricket only, calculated as 32 − 12. Thus only football corresponds to option A.

Tags

setsword problemonly elementsvenn diagramOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

The 24 football players include the 12 students who play both football and cricket. Therefore, the number who play football only is found by subtracting the intersection: 24 − 12 = 12. The value 20 is the number who play cricket only, calculated as 32 − 12. Thus only football corresponds to option A.

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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