If W = {x : x ∈ ℕ and x is a common divisor of 36 and 48}, what is W?
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Answer and explanation
Correct answer: W = {1, 2, 3, 4, 6, 12}
A common divisor must divide both 36 and 48 without leaving a remainder. Their greatest common divisor is 12, and the positive divisors of 12 are 1, 2, 3, 4, 6, and 12. Each of these divides both original numbers, whereas 8, 9, and 24 fail for at least one of them.
Frequently asked questions
What is the correct answer to this question?
W = {1, 2, 3, 4, 6, 12}
Why is this the correct answer?
A common divisor must divide both 36 and 48 without leaving a remainder. Their greatest common divisor is 12, and the positive divisors of 12 are 1, 2, 3, 4, 6, and 12. Each of these divides both original numbers, whereas 8, 9, and 24 fail for at least one of them.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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