What is the set A = {x : x is a digit in the number 2026}?
Answer and explanation
Correct answer: {0, 2, 6}
The digits of 2026, in order, are 2, 0, 2, and 6. However, a set records whether an element is present, not how many times it occurs. The digit 2 appears twice but is listed only once in the set. Therefore the distinct-digit set is A = {0, 2, 6}. Option B is correct; options A and D incorrectly preserve repetition, while C omits the digit 0.
Frequently asked questions
What is the correct answer to this question?
{0, 2, 6}
Why is this the correct answer?
The digits of 2026, in order, are 2, 0, 2, and 6. However, a set records whether an element is present, not how many times it occurs. The digit 2 appears twice but is listed only once in the set. Therefore the distinct-digit set is A = {0, 2, 6}. Option B is correct; options A and D incorrectly preserve repetition, while C omits the digit 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
