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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 10

If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, how many elements are in A − B?

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Answer and explanation

Correct answer: 3

The difference A − B contains elements that belong to A but do not belong to B. Removing 2, 4, and 6 from A leaves A − B = {1, 3, 5}. This set has three elements, so the answer is 3. The value 6 is the size of A, while 0 would apply only if every element of A were also in B.

Tags

setsset-differencecardinalityset-operationsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

The difference A − B contains elements that belong to A but do not belong to B. Removing 2, 4, and 6 from A leaves A − B = {1, 3, 5}. This set has three elements, so the answer is 3. The value 6 is the size of A, while 0 would apply only if every element of A were also in B.

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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