If A = {x ∈ ℕ : x is a square number less than 50} and B = {1, 4, 9, 16, 25, 36, 49}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The natural-number squares less than 50 are 1², 2², 3², 4², 5², 6², and 7², giving {1, 4, 9, 16, 25, 36, 49}. The next square, 8² = 64, is already greater than 50. Thus A and B contain exactly the same elements, so A = B. The set is finite, and 50 itself is not a square.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The natural-number squares less than 50 are 1², 2², 3², 4², 5², 6², and 7², giving {1, 4, 9, 16, 25, 36, 49}. The next square, 8² = 64, is already greater than 50. Thus A and B contain exactly the same elements, so A = B. The set is finite, and 50 itself is not a square.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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