Choose the roster form of I₁ = {x : x is a perfect square number from 1 through 50}.
Answer and explanation
Correct answer: I₁ = {1, 4, 9, 16, 25, 36, 49}
Perfect squares in the interval from 1 to 50 are obtained from 1² through 7²: 1, 4, 9, 16, 25, 36, and 49. The next square is 8² = 64, which is greater than 50 and must be excluded. Zero is below the stated interval, and the values in option D are mostly cubes rather than squares. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
I₁ = {1, 4, 9, 16, 25, 36, 49}
Why is this the correct answer?
Perfect squares in the interval from 1 to 50 are obtained from 1² through 7²: 1, 4, 9, 16, 25, 36, and 49. The next square is 8² = 64, which is greater than 50 and must be excluded. Zero is below the stated interval, and the values in option D are mostly cubes rather than squares. 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.
