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If A = {0, 1, 2, 3} and B = {2, 3, 4, 5}, which of the following is a subset of A ∩ B?

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Answer and explanation

Correct answer: {2}

The intersection contains only elements common to both sets. Comparing A and B gives A ∩ B = {2, 3}. A set is a subset when every one of its elements belongs to the given set. Since 2 belongs to {2, 3}, {2} is a subset. The other options contain 4 or elements not common to both sets.

Tags

setsintersectionsubsetsset-membershipOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{2}

Why is this the correct answer?

The intersection contains only elements common to both sets. Comparing A and B gives A ∩ B = {2, 3}. A set is a subset when every one of its elements belongs to the given set. Since 2 belongs to {2, 3}, {2} is a subset. The other options contain 4 or elements not common to both sets.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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