If A = {x ∈ N : x is a factor of 24} and B = {x ∈ N : x is a factor of 36}, what is A ∩ B?
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Answer and explanation
Correct answer: {1,2,3,4,6,12}
List the natural-number factors of each number. The factors of 24 are {1,2,3,4,6,8,12,24}, and the factors of 36 are {1,2,3,4,6,9,12,18,36}. Their intersection contains only the factors appearing in both lists: {1,2,3,4,6,12}. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1,2,3,4,6,12}
Why is this the correct answer?
List the natural-number factors of each number. The factors of 24 are {1,2,3,4,6,8,12,24}, and the factors of 36 are {1,2,3,4,6,9,12,18,36}. Their intersection contains only the factors appearing in both lists: {1,2,3,4,6,12}. Hence 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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