Which is the set G₁ = {x ∈ ℕ : x is a factor of 24 and x > 6}?
Answer and explanation
Correct answer: {8, 12, 24}
The positive natural-number factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The additional condition x > 6 removes 1, 2, 3, 4, and 6, because 6 is not greater than 6. The remaining factors are 8, 12, and 24. Therefore G₁ = {8, 12, 24}. Option B incorrectly includes 6, while option D contains numbers that are not all factors of 24.
Frequently asked questions
What is the correct answer to this question?
{8, 12, 24}
Why is this the correct answer?
The positive natural-number factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The additional condition x > 6 removes 1, 2, 3, 4, and 6, because 6 is not greater than 6. The remaining factors are 8, 12, and 24. Therefore G₁ = {8, 12, 24}. Option B incorrectly includes 6, while option D contains numbers that are not all factors of 24.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
