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Subjects
Class 10MathematicsSetsSets and their representationsEasyLevel 2

If C = {x ∈ N : x is a factor of both 15 and 25}, what is C?

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Answer and explanation

Correct answer: C = {1, 5}

The positive factors of 15 are 1, 3, 5, and 15, while the positive factors of 25 are 1, 5, and 25. The numbers occurring in both lists are 1 and 5. Therefore, the set of common factors is C = {1, 5}. A number must divide both 15 and 25 exactly to belong to C.

Tags

setscommon factorsset representationnatural numbersSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

C = {1, 5}

Why is this the correct answer?

The positive factors of 15 are 1, 3, 5, and 15, while the positive factors of 25 are 1, 5, and 25. The numbers occurring in both lists are 1 and 5. Therefore, the set of common factors is C = {1, 5}. A number must divide both 15 and 25 exactly to belong to C.

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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