Which set is C = {x ∈ N : x is even and x is a divisor of 18}?
Answer and explanation
Correct answer: English: C = {2, 6, 18} | हिन्दी: C = {2, 6, 18}
List the positive divisors of 18 first: 1, 2, 3, 6, 9, and 18. The set requires divisors that are also even. From this list, 2, 6, and 18 are even, whereas 1, 3, and 9 are odd. Therefore the elements satisfying both conditions are C = {2, 6, 18}. Number 4 is not a divisor of 18, so option C is wrong, and option D omits the valid divisor 2. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
English: C = {2, 6, 18} | हिन्दी: C = {2, 6, 18}
Why is this the correct answer?
List the positive divisors of 18 first: 1, 2, 3, 6, 9, and 18. The set requires divisors that are also even. From this list, 2, 6, and 18 are even, whereas 1, 3, and 9 are odd. Therefore the elements satisfying both conditions are C = {2, 6, 18}. Number 4 is not a divisor of 18, so option C is wrong, and option D omits the valid divisor 2. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
