How many elements are in E={x: x is an even digit}?
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Answer and explanation
Correct answer: 5
The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. An even digit is divisible by 2 without a remainder. The even digits are therefore 0, 2, 4, 6, and 8. Since these are five distinct elements, the cardinality of E is 5, so option B is correct. Option A misses one even digit, while C and D count too many.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. An even digit is divisible by 2 without a remainder. The even digits are therefore 0, 2, 4, 6, and 8. Since these are five distinct elements, the cardinality of E is 5, so option B is correct. Option A misses one even digit, while C and D count too many.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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