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Class 10MathematicsSetsSets and their representationsMediumLevel 2

If V = {x : x ∈ N, x = 24/n}, where n ∈ N and n is even, what is V?

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Answer and explanation

Correct answer: V = {12, 6, 4, 3, 2, 1}

For x = 24/n to be a natural number, n must be a positive divisor of 24. The even positive divisors of 24 are 2, 4, 6, 8, 12, and 24. Substitution gives x = 12, 6, 4, 3, 2, and 1, respectively. Therefore V = {12, 6, 4, 3, 2, 1}; the order of elements does not matter in a set.

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setsdivisorsset representationroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

V = {12, 6, 4, 3, 2, 1}

Why is this the correct answer?

For x = 24/n to be a natural number, n must be a positive divisor of 24. The even positive divisors of 24 are 2, 4, 6, 8, 12, and 24. Substitution gives x = 12, 6, 4, 3, 2, and 1, respectively. Therefore V = {12, 6, 4, 3, 2, 1}; the order of elements does not matter in a set.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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