Venn Diagrams

25 MCQs

MCQs

24 questions · 20 min · 24 marks

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Sample questions

The first 5 of 24. Try each one, then tap to see the answer.

  1. Question 1

    Which identity expresses the commutative law of union?

    • AA∪B=A∩B
    • BA∪B=B∪A
    • CA∪B=A−B
    • DA∪B=A
    Show answer

    Answer: B

    The order of sets does not change their union.

  2. Question 2

    Which identity expresses the commutative law of intersection?

    • AA∩B=B∩A
    • BA∩B=A∪B
    • CA∩B=A−B
    • DA∩B=∅
    Show answer

    Answer: A

    Intersection is unchanged when the sets are interchanged.

  3. Question 3

    Which is the associative law of union for three sets?

    • AA∪(B∩C)=(A∪B)∩C
    • BA∪(B∪C)=(A∪B)∪C
    • CA∪B=B∪A
    • DA∪∅=A
    Show answer

    Answer: B

    Grouping does not affect the union of three sets.

  4. Question 4

    Which is the associative law of intersection?

    • AA∩(B∩C)=(A∩B)∩C
    • BA∩B=B∪A
    • CA∩(B∪C)=(A∩B)∪C
    • DA∩U=∅
    Show answer

    Answer: A

    Grouping does not affect the intersection of three sets.

  5. Question 5

    Which identity represents union distributed over intersection?

    • AA∪(B∩C)=(A∪B)∩(A∪C)
    • BA∩(B∪C)=(A∪B)∩C
    • CA∪(B∩C)=(A∩B)∪C
    • DA∪B=A∩B
    Show answer

    Answer: A

    Union distributes over intersection using both unions on the right.

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