If S = {x : x ∈ N and x² ≤ 36}, what is the greatest element of S?
Answer and explanation
Correct answer: 6
We need natural numbers whose squares are at most 36. Since 6² = 36, the value 6 satisfies the condition. The next natural number, 7, has square 49, which is greater than 36, so no larger natural number can belong to S. Thus the greatest element is 6, not 36; 36 is the upper bound for the square, not the member x.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
We need natural numbers whose squares are at most 36. Since 6² = 36, the value 6 satisfies the condition. The next natural number, 7, has square 49, which is greater than 36, so no larger natural number can belong to S. Thus the greatest element is 6, not 36; 36 is the upper bound for the square, not the member x.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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