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What is Q={x∈N: x<40 and the last digit of x is 7}?

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Answer and explanation

Correct answer: Q={7,17,27,37}

List the natural numbers whose units digit is 7: 7, 17, 27, 37, 47, and so on. Applying the strict condition x<40 keeps 7, 17, 27 and 37, but removes 47 and every larger value. Therefore the correct roster form is Q={7,17,27,37}, which is option A. Option B contains 47, C contains 40 even though its last digit is 0, and D omits 37.

Related tags

SetsLast DigitRoster FormClass 9 MathematicsDecimal RepresentationNumber SystemsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

Q={7,17,27,37}

Why is this the correct answer?

List the natural numbers whose units digit is 7: 7, 17, 27, 37, 47, and so on. Applying the strict condition x<40 keeps 7, 17, 27 and 37, but removes 47 and every larger value. Therefore the correct roster form is Q={7,17,27,37}, which is option A. Option B contains 47, C contains 40 even though its last digit is 0, and D omits 37.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.

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