If A = {x : x ∈ ℕ, x ≤ 25, x is divisible by 4 but not divisible by 8}, which is the correct roster form of A?
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Answer and explanation
Correct answer: A = {4, 12, 20}
The positive multiples of 4 that do not exceed 25 are 4, 8, 12, 16, 20, and 24. Among these, 8, 16, and 24 are divisible by 8, so they must be excluded. The remaining numbers, 4, 12, and 20, are divisible by 4 but not by 8 and are all at most 25. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = {4, 12, 20}
Why is this the correct answer?
The positive multiples of 4 that do not exceed 25 are 4, 8, 12, 16, 20, and 24. Among these, 8, 16, and 24 are divisible by 8, so they must be excluded. The remaining numbers, 4, 12, and 20, are divisible by 4 but not by 8 and are all at most 25. Therefore 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.
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