If S={x∈N: x²<50}, what is the greatest element of S?
Answer and explanation
Correct answer: 7
The governing concept is finding the greatest natural number satisfying an inequality. Check consecutive squares near 50: 7²=49<50, whereas 8²=64>50. Hence 7 belongs to S and every larger natural number fails the condition, making 7 the greatest element. Option 6 is smaller, 8 is excluded, and 49 is the square value rather than the natural-number input x.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The governing concept is finding the greatest natural number satisfying an inequality. Check consecutive squares near 50: 7²=49<50, whereas 8²=64>50. Hence 7 belongs to S and every larger natural number fails the condition, making 7 the greatest element. Option 6 is smaller, 8 is excluded, and 49 is the square value rather than the natural-number input x.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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