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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 3

Let A = {x : x ∈ N, x is a perfect square less than 6}, where N = {1, 2, 3, ...}. What is A?

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Answer and explanation

Correct answer: {1, 4}

Because N is defined here as {1, 2, 3, ...}, zero is not considered a natural number for this question. The positive perfect squares less than 6 are 1 = 1² and 4 = 2². The next perfect square, 9 = 3², is greater than 6 and is excluded. Therefore A = {1, 4}, so option A is correct.

Tags

setsfinite-setperfect-squaresnatural-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 4}

Why is this the correct answer?

Because N is defined here as {1, 2, 3, ...}, zero is not considered a natural number for this question. The positive perfect squares less than 6 are 1 = 1² and 4 = 2². The next perfect square, 9 = 3², is greater than 6 and is excluded. Therefore A = {1, 4}, so option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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