If A = {x : x is a positive multiple of 4 less than 20}, which set is equal to A?
Answer and explanation
Correct answer: {4, 8, 12, 16}
The positive multiples of 4 are 4, 8, 12, 16, 20, and so on. The condition “less than 20” excludes 20 and every larger multiple, while “positive” excludes 0 and negative numbers. Thus the members of A are exactly 4, 8, 12, and 16. Therefore option A represents a set equal to A. Option B includes 0, option C includes 20, and option D omits 4.
Frequently asked questions
What is the correct answer to this question?
{4, 8, 12, 16}
Why is this the correct answer?
The positive multiples of 4 are 4, 8, 12, 16, 20, and so on. The condition “less than 20” excludes 20 and every larger multiple, while “positive” excludes 0 and negative numbers. Thus the members of A are exactly 4, 8, 12, and 16. Therefore option A represents a set equal to A. Option B includes 0, option C includes 20, and option D omits 4.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
