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Class 10MathematicsSetsSets and their representationsEasyLevel 2

If R = {x : x ∈ N, x is a divisor of 36, and x is odd}, what is the roster form of R?

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Answer and explanation

Correct answer: R = {1, 3, 9}

The positive divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. We now retain only the odd divisors, meaning those not divisible by 2. These are 1, 3, and 9. Hence the roster form is R = {1, 3, 9}. The number 1 must be included because 1 divides every positive integer and 1 is odd.

Tags

setsdivisorsodd numbersroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

R = {1, 3, 9}

Why is this the correct answer?

The positive divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. We now retain only the odd divisors, meaning those not divisible by 2. These are 1, 3, and 9. Hence the roster form is R = {1, 3, 9}. The number 1 must be included because 1 divides every positive integer and 1 is odd.

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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