If K={1,4,9,16,25}, what is the most suitable description of K?
Answer and explanation
Correct answer: Perfect squares less than 30
The members of K are successive squares: 1=1², 4=2², 9=3², 16=4², and 25=5². Every one is less than 30, while the next square, 6²=36, is not less than 30. Hence K is precisely the set of perfect squares below 30. The numbers are not all prime or even, and most are not multiples of 5, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
Perfect squares less than 30
Why is this the correct answer?
The members of K are successive squares: 1=1², 4=2², 9=3², 16=4², and 25=5². Every one is less than 30, while the next square, 6²=36, is not less than 30. Hence K is precisely the set of perfect squares below 30. The numbers are not all prime or even, and most are not multiples of 5, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: Squares and Square Roots.
