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Class 10MathematicsSetsSets and their representationsMediumLevel 2

If M = {x : x ∈ ℕ, x is a two-digit number and the sum of its digits is 3}, what is M?

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Answer and explanation

Correct answer: M = {12, 21, 30}

Let the tens digit be a and the units digit be b. Since the number is two-digit, a cannot be zero, and the condition is a + b = 3. The possible digit pairs are (1,2), (2,1), and (3,0), giving the numbers 12, 21, and 30. The number 3 is not included because it has only one digit. Hence M = {12, 21, 30}.

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setsdigitsnatural numbersroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

M = {12, 21, 30}

Why is this the correct answer?

Let the tens digit be a and the units digit be b. Since the number is two-digit, a cannot be zero, and the condition is a + b = 3. The possible digit pairs are (1,2), (2,1), and (3,0), giving the numbers 12, 21, and 30. The number 3 is not included because it has only one digit. Hence M = {12, 21, 30}.

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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