If A = {12, 24, 36, 48} and B = {24, 48, 60}, how many elements are in A ∩ B?
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Answer and explanation
Correct answer: 2
The intersection A ∩ B consists only of elements that occur in both A and B. Comparing the sets, 24 appears in both and 48 also appears in both. The elements 12 and 36 occur only in A, while 60 occurs only in B. Therefore, A ∩ B = {24, 48}, which has two elements. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The intersection A ∩ B consists only of elements that occur in both A and B. Comparing the sets, 24 appears in both and 48 also appears in both. The elements 12 and 36 occur only in A, while 60 occurs only in B. Therefore, A ∩ B = {24, 48}, which has two elements. 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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