Which option correctly gives H = {x : x ∈ N, x is not a factor of 8 and x ≤ 8}?
Answer and explanation
Correct answer: H = {3, 5, 6, 7}
The governing idea is filtering a finite set by a condition and its negation. The natural numbers not exceeding 8 are 1 through 8. The factors of 8 are 1, 2, 4 and 8; removing them leaves 3, 5, 6 and 7. Option B gives the excluded factors, option C omits 6, and option D adds 0, which is not a natural number under the convention used here. Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
H = {3, 5, 6, 7}
Why is this the correct answer?
The governing idea is filtering a finite set by a condition and its negation. The natural numbers not exceeding 8 are 1 through 8. The factors of 8 are 1, 2, 4 and 8; removing them leaves 3, 5, 6 and 7. Option B gives the excluded factors, option C omits 6, and option D adds 0, which is not a natural number under the convention used here. Hence A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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