What is F = {x : x ∈ N and x is a composite number less than 15}?
Answer and explanation
Correct answer: F = {4, 6, 8, 9, 10, 12, 14}
The governing concept is classifying natural numbers as prime or composite and then writing the result in roster form. Numbers less than 15 are 1 through 14. The composite numbers, each having more than two positive factors, are 4, 6, 8, 9, 10, 12 and 14. Option B lists primes, option C incorrectly includes 1, and option D includes 15, which is not less than 15. Thus A is correct.
Frequently asked questions
What is the correct answer to this question?
F = {4, 6, 8, 9, 10, 12, 14}
Why is this the correct answer?
The governing concept is classifying natural numbers as prime or composite and then writing the result in roster form. Numbers less than 15 are 1 through 14. The composite numbers, each having more than two positive factors, are 4, 6, 8, 9, 10, 12 and 14. Option B lists primes, option C incorrectly includes 1, and option D includes 15, which is not less than 15. Thus 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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