What is the roster form of E={x: x is a positive multiple of 6 less than 30}?
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Answer and explanation
Correct answer: E={6,12,18,24}
A roster form lists every element explicitly. The positive multiples of 6 below 30 are obtained as 6×1=6, 6×2=12, 6×3=18, and 6×4=24. The next multiple, 30, is excluded because the condition says less than 30, and 0 is not positive. Thus E={6,12,18,24}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
E={6,12,18,24}
Why is this the correct answer?
A roster form lists every element explicitly. The positive multiples of 6 below 30 are obtained as 6×1=6, 6×2=12, 6×3=18, and 6×4=24. The next multiple, 30, is excluded because the condition says less than 30, and 0 is not positive. Thus E={6,12,18,24}, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
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