If V={x:x∈N, x is a perfect square less than 36 and x≠4}, what is V?
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Answer and explanation
Correct answer: V={1,9,16,25}
The governing concept is filtering a set using two conditions. The natural perfect squares below 36 are 1²=1, 2²=4, 3²=9, 4²=16, and 5²=25. The number 36 is excluded because the condition says less than 36, and 4 is removed by x≠4. Thus V={1,9,16,25}, which is option A.
Frequently asked questions
What is the correct answer to this question?
V={1,9,16,25}
Why is this the correct answer?
The governing concept is filtering a set using two conditions. The natural perfect squares below 36 are 1²=1, 2²=4, 3²=9, 4²=16, and 5²=25. The number 36 is excluded because the condition says less than 36, and 4 is removed by x≠4. Thus V={1,9,16,25}, which is option A.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: Squares and Square Roots.
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