If A = {2, 3, 5, 7}, which of the following is not a proper subset of A?
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Answer and explanation
Correct answer: {2, 3, 5, 7}
A proper subset must be contained in the original set but must not be equal to the original set. The sets {2,5}, {7}, and ∅ are all contained in A and are smaller than A, so they are proper subsets. However, {2,3,5,7} is exactly A itself. It is a subset, but not a proper subset. Therefore option C is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5, 7}
Why is this the correct answer?
A proper subset must be contained in the original set but must not be equal to the original set. The sets {2,5}, {7}, and ∅ are all contained in A and are smaller than A, so they are proper subsets. However, {2,3,5,7} is exactly A itself. It is a subset, but not a proper subset. Therefore option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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