If V={x∈N: x is a perfect square less than 25 and x≠1}, what is V?
Answer and explanation
Correct answer: V={4,9,16}
The governing concept is filtering a set by two conditions. The natural perfect squares below 25 are 1²=1, 2²=4, 3²=9, and 4²=16. The next square, 5²=25, is excluded because the inequality is strict. The additional condition x≠1 removes 1, leaving V={4,9,16}. Hence option A is correct; the other choices either retain 1 or include 25.
Frequently asked questions
What is the correct answer to this question?
V={4,9,16}
Why is this the correct answer?
The governing concept is filtering a set by two conditions. The natural perfect squares below 25 are 1²=1, 2²=4, 3²=9, and 4²=16. The next square, 5²=25, is excluded because the inequality is strict. The additional condition x≠1 removes 1, leaving V={4,9,16}. Hence option A is correct; the other choices either retain 1 or include 25.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Irrational numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
