Which option is the roster form of A = {x ∈ N : x is a multiple of 6 and x ≤ 36}?
Answer and explanation
Correct answer: English: A = {6, 12, 18, 24, 30, 36} | हिन्दी: A = {6, 12, 18, 24, 30, 36}
The positive multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and so on. The condition x ≤ 36 stops the list at 36, so 42 and all later multiples are excluded. The roster therefore contains exactly 6, 12, 18, 24, 30, and 36. Zero is not listed because the question is using the positive natural multiples intended by the options; 1 is not a multiple of 6. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
English: A = {6, 12, 18, 24, 30, 36} | हिन्दी: A = {6, 12, 18, 24, 30, 36}
Why is this the correct answer?
The positive multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and so on. The condition x ≤ 36 stops the list at 36, so 42 and all later multiples are excluded. The roster therefore contains exactly 6, 12, 18, 24, 30, and 36. Zero is not listed because the question is using the positive natural multiples intended by the options; 1 is not a multiple of 6. 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.
