If G={x:x∈N, x is a common divisor of 18 and 24}, which set is G?
Answer and explanation
Correct answer: G={1,2,3,6}
A common divisor must divide both numbers exactly. The divisors of 18 are 1, 2, 3, 6, 9, and 18. Testing these against 24 leaves 1, 2, 3, and 6, because each divides 24 without remainder. Number 9 does not divide 24, and 4 does not divide 18. Therefore G={1,2,3,6}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
G={1,2,3,6}
Why is this the correct answer?
A common divisor must divide both numbers exactly. The divisors of 18 are 1, 2, 3, 6, 9, and 18. Testing these against 24 leaves 1, 2, 3, and 6, because each divides 24 without remainder. Number 9 does not divide 24, and 4 does not divide 18. Therefore G={1,2,3,6}, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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