If M={x: x is a prime number less than 15}, which is M?
Answer and explanation
Correct answer: M={2,3,5,7,11,13}
A prime number is a number greater than 1 with exactly two positive divisors: 1 and itself. Testing numbers below 15 gives the primes 2, 3, 5, 7, 11, and 13. The number 1 is not prime, 9 is composite because 9=3×3, and 15 is neither prime nor less than 15. Therefore the correct roster form is option B; the other options contain at least one invalid member.
Frequently asked questions
What is the correct answer to this question?
M={2,3,5,7,11,13}
Why is this the correct answer?
A prime number is a number greater than 1 with exactly two positive divisors: 1 and itself. Testing numbers below 15 gives the primes 2, 3, 5, 7, 11, and 13. The number 1 is not prime, 9 is composite because 9=3×3, and 15 is neither prime nor less than 15. Therefore the correct roster form is option B; the other options contain at least one invalid member.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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