If P = {n ∈ ℕ : n divides both 18 and 24}, which set is P?
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Answer and explanation
Correct answer: P = {1, 2, 3, 6}
A member of P must be a natural-number divisor of both 18 and 24. The positive divisors of 18 are 1, 2, 3, 6, 9, and 18. The positive divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The common elements in these two lists are 1, 2, 3, and 6. Therefore, P = {1, 2, 3, 6}.
Frequently asked questions
What is the correct answer to this question?
P = {1, 2, 3, 6}
Why is this the correct answer?
A member of P must be a natural-number divisor of both 18 and 24. The positive divisors of 18 are 1, 2, 3, 6, 9, and 18. The positive divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The common elements in these two lists are 1, 2, 3, and 6. Therefore, P = {1, 2, 3, 6}.
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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