If A = {x : x is a positive perfect square less than 25}, which option is equal to A?
Answer and explanation
Correct answer: {1, 4, 9, 16}
A positive perfect square is the square of a positive integer. The positive integers whose squares are less than 25 are 1, 2, 3, and 4, giving the squares 1, 4, 9, and 16. Zero is not positive, and 25 is not included because the condition says less than 25, not less than or equal to 25. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 4, 9, 16}
Why is this the correct answer?
A positive perfect square is the square of a positive integer. The positive integers whose squares are less than 25 are 1, 2, 3, and 4, giving the squares 1, 4, 9, and 16. Zero is not positive, and 25 is not included because the condition says less than 25, not less than or equal to 25. Therefore option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
