If G = {x : x ∈ N and x divides both 12 and 20}, what is G?
Answer and explanation
Correct answer: G = {1, 2, 4}
The positive factors of 12 are 1, 2, 3, 4, 6 and 12, while those of 20 are 1, 2, 4, 5, 10 and 20. Their common elements are 1, 2 and 4. These are precisely the natural numbers that divide both 12 and 20, so G = {1, 2, 4}. The other options include numbers that fail one of the divisibility tests.
Frequently asked questions
What is the correct answer to this question?
G = {1, 2, 4}
Why is this the correct answer?
The positive factors of 12 are 1, 2, 3, 4, 6 and 12, while those of 20 are 1, 2, 4, 5, 10 and 20. Their common elements are 1, 2 and 4. These are precisely the natural numbers that divide both 12 and 20, so G = {1, 2, 4}. The other options include numbers that fail one of the divisibility tests.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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