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If A = {x ∈ ℕ : x divides 36 and x is odd}, then A is equal to which set?

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Answer and explanation

Correct answer: {1, 3, 9}

The positive divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Among these, the odd numbers are 1, 3, and 9; every other divisor is even. Thus the set satisfying both conditions is A = {1, 3, 9}. Notice that 1 is odd and is also a divisor of every nonzero integer.

Tags

setsfinite-setsdivisorsodd-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{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. Among these, the odd numbers are 1, 3, and 9; every other divisor is even. Thus the set satisfying both conditions is A = {1, 3, 9}. Notice that 1 is odd and is also a divisor of every nonzero integer.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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