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Class 10MathematicsSetsSets and their representationsEasyLevel 3

If P = {x : x ∈ ℕ, x divides 48 and x > 12}, then what is P?

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Answer and explanation

Correct answer: P = {16, 24, 48}

First list the positive natural-number divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Now apply the condition x > 12. The divisors that are strictly greater than 12 are 16, 24, and 48. The number 12 is excluded because the inequality is strict. Therefore, P = {16, 24, 48}, which is option A.

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setssets and their representationsdivisorsfactorsroster formMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

P = {16, 24, 48}

Why is this the correct answer?

First list the positive natural-number divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Now apply the condition x > 12. The divisors that are strictly greater than 12 are 16, 24, and 48. The number 12 is excluded because the inequality is strict. Therefore, P = {16, 24, 48}, which is option A.

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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