In a group, 52 people like apples, 47 like bananas, and 19 like both. How many people like only apples?
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Answer and explanation
Correct answer: 33
The 52 people who like apples include both people who like only apples and people who like both apples and bananas. Since 19 people like both fruits, remove that overlap from the apple total: only apples=n(A)−n(A∩B)=52−19=33. Therefore, 33 people like only apples, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
33
Why is this the correct answer?
The 52 people who like apples include both people who like only apples and people who like both apples and bananas. Since 19 people like both fruits, remove that overlap from the apple total: only apples=n(A)−n(A∩B)=52−19=33. Therefore, 33 people like only apples, so 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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