If U = {x : x is a digit} and A = {x : x is an even digit}, how many elements are in Aᶜ?
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Answer and explanation
Correct answer: 5
The digits are U = {0,1,2,3,4,5,6,7,8,9}. The even digits are A = {0,2,4,6,8}. The complement Aᶜ therefore contains the digits that are not even, namely the odd digits {1,3,5,7,9}. This set has 5 elements, so option A is correct. The digit 0 is even and is correctly included in A, not in its complement.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The digits are U = {0,1,2,3,4,5,6,7,8,9}. The even digits are A = {0,2,4,6,8}. The complement Aᶜ therefore contains the digits that are not even, namely the odd digits {1,3,5,7,9}. This set has 5 elements, so option A is correct. The digit 0 is even and is correctly included in A, not in its complement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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