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Class 10MathematicsSetsSets and their representationsEasyLevel 2

What is J = {x ∈ N : x is a divisor of 30 and x > 5}?

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Answer and explanation

Correct answer: J = {6, 10, 15, 30}

The positive divisors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Applying x > 5 removes 1, 2, 3, and 5. The remaining divisors are 6, 10, 15, and 30, so J = {6, 10, 15, 30}. Option A is correct. Option B wrongly includes 5, while C omits 6 and D ignores the inequality condition.

Tags

setsdivisorsroster formnatural numbersSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

J = {6, 10, 15, 30}

Why is this the correct answer?

The positive divisors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. Applying x > 5 removes 1, 2, 3, and 5. The remaining divisors are 6, 10, 15, and 30, so J = {6, 10, 15, 30}. Option A is correct. Option B wrongly includes 5, while C omits 6 and D ignores the inequality condition.

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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