If A = {x ∈ ℕ : x divides 36} and B = {1, 2, 3, 4, 6, 9, 12, 18, 36}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The positive natural-number divisors of 36 are obtained from factor pairs: 1×36, 2×18, 3×12, 4×9, and 6×6. Therefore the complete divisor set is {1, 2, 3, 4, 6, 9, 12, 18, 36}, exactly the set B. Repetition is not used in a set, so 6 appears only once. Hence A = B.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive natural-number divisors of 36 are obtained from factor pairs: 1×36, 2×18, 3×12, 4×9, and 6×6. Therefore the complete divisor set is {1, 2, 3, 4, 6, 9, 12, 18, 36}, exactly the set B. Repetition is not used in a set, so 6 appears only once. Hence A = B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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