Which option correctly gives H={x∈N: x is not a factor of 10 and x≤10}?
Answer and explanation
Correct answer: H={3,4,6,7,8,9}
The governing idea is to list the natural numbers satisfying both conditions. Taking N as {1,2,3,...}, the numbers not exceeding 10 are 1 through 10. The positive factors of 10 are 1, 2, 5 and 10. Removing these from the list leaves 3, 4, 6, 7, 8 and 9. Therefore option A is correct. Option B lists the excluded factors, while C and D either include a factor or incorrectly include 0.
Frequently asked questions
What is the correct answer to this question?
H={3,4,6,7,8,9}
Why is this the correct answer?
The governing idea is to list the natural numbers satisfying both conditions. Taking N as {1,2,3,...}, the numbers not exceeding 10 are 1 through 10. The positive factors of 10 are 1, 2, 5 and 10. Removing these from the list leaves 3, 4, 6, 7, 8 and 9. Therefore option A is correct. Option B lists the excluded factors, while C and D either include a factor or incorrectly include 0.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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