What is the correct roster form of Q = {x : x ∈ N, x is a perfect square less than 100, and x is even}?
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Answer and explanation
Correct answer: Q = {4, 16, 36, 64}
The natural-number perfect squares less than 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81. Selecting only the even squares leaves 4, 16, 36, and 64. The number 100 is excluded because the condition is strictly less than 100. Therefore Q = {4, 16, 36, 64}.
Frequently asked questions
What is the correct answer to this question?
Q = {4, 16, 36, 64}
Why is this the correct answer?
The natural-number perfect squares less than 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81. Selecting only the even squares leaves 4, 16, 36, and 64. The number 100 is excluded because the condition is strictly less than 100. Therefore Q = {4, 16, 36, 64}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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