If E={x∈N: x is a positive factor of 28 and x is even}, which is E?
Answer and explanation
Correct answer: E={2,4,14,28}
First list all positive factors of 28: 1, 2, 4, 7, 14, and 28. The second condition requires the factor to be even, so remove the odd factors 1 and 7. The remaining set is E={2,4,14,28}, which is option A. Option B includes odd factors, option C omits the valid factor 2, and option D incorrectly includes 6, which does not divide 28.
Frequently asked questions
What is the correct answer to this question?
E={2,4,14,28}
Why is this the correct answer?
First list all positive factors of 28: 1, 2, 4, 7, 14, and 28. The second condition requires the factor to be even, so remove the odd factors 1 and 7. The remaining set is E={2,4,14,28}, which is option A. Option B includes odd factors, option C omits the valid factor 2, and option D incorrectly includes 6, which does not divide 28.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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