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If B = {x : x ∈ N and x is a multiple of 5 less than 20}, what is n(B)?

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Answer and explanation

Correct answer: 3

The natural multiples of 5 below 20 are 5, 10, and 15. The next multiple, 20, is excluded because the condition says less than 20, not less than or equal to 20. Thus B has three distinct elements and n(B) = 3. There is no need to include 0 under the usual natural-number convention used here.

Related tags

SetsCardinalityMultiplesNatural NumbersCommon QuestionsCommonMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

The natural multiples of 5 below 20 are 5, 10, and 15. The next multiple, 20, is excluded because the condition says less than 20, not less than or equal to 20. Thus B has three distinct elements and n(B) = 3. There is no need to include 0 under the usual natural-number convention used here.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Common Questions.

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