What is V={x:x∈N, x is a divisor of 24 and x is even}?
Answer and explanation
Correct answer: V={2,4,6,8,12,24}
A divisor of 24 is a natural number that divides 24 exactly. The positive divisors are 1, 2, 3, 4, 6, 8, 12, and 24. The condition that x must be even removes the odd divisors 1 and 3, leaving 2, 4, 6, 8, 12, and 24. Hence option A gives the complete roster form; C omits 8, while B includes odd divisors.
Frequently asked questions
What is the correct answer to this question?
V={2,4,6,8,12,24}
Why is this the correct answer?
A divisor of 24 is a natural number that divides 24 exactly. The positive divisors are 1, 2, 3, 4, 6, 8, 12, and 24. The condition that x must be even removes the odd divisors 1 and 3, leaving 2, 4, 6, 8, 12, and 24. Hence option A gives the complete roster form; C omits 8, while B includes odd divisors.
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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