Sets Operation and complements

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Question 1

If A and B are subsets of a universal set U such that A ∪ B = U and A ∩ B = ∅, which of the following statements is always true?

  • ∣A∣+∣B∣=∣U∣

  • ∣A∣=∣B∣

  • ∣A∣×∣B∣=∣U∣

  • None of the above

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Question 2

What is the complement of the set A = {1,2,3} if the universal set is U ={1,23,4,5}?

  • {4,5}

  • {1,2}

  • {2,3}

  • {3,4}

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Question 3

If A = {5,6,7} and U = {1,2,3,4,5,6,7,8,9} what is A'?

  • {1,2,3,4,8,9}

  • {5,6,7}

  • {1,2,3,4,5}

  • {8,9}

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Question 4

Which of the following is the correct formula for the complement of set A?

  • A' = U - A

  • A' = A - U

  • A' = A ∪ U

  • A' = A ∩ U

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Question 5

If the universal set is U ={a,b,c,d,e} and A ={a,b}, what is A'?

  • {a,b}




  • {c,d,e}

  • {a,b,c}

  • {d,e}

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Question 6

If A ={1,2,3}, B = {3,4,5}, and U ={1,2,3,4,5,6}, what is the complement of the intersection of A and B?

  • {1,2,3,4,5,6}

  • {1,5}

  • {1,3,5}

  • {1,2,4,5,6}

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Question 7

If A = {x:x is even and x ≤ 10 } , B = {x:x is multiple of 3 and x ≤ 10}, then A ∩ B

  • {6}

  • {3,6,9}

  • {2,4,6,8,10}

  • {6,9}

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Question 8

Let A = { x:x is a prime number less than 10} and B ={2,3,4,5} . Find A ∩ B

  • {2,3,5,7}

  • {2,3,4,5}

  • {2,3,5}

  • {7}

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Question 9

Let A = {1,2,3} and B = {2,3,4,5}. what is B - A?

  • {1,2,3}

  • {4,5}

  • {2,3}

  • {1,4,5}

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Question 10

Which of following is true for any set A and B ?

  • A ∩ A = ∅

  • A ∪ A = A

  • A ∪ B = ∅

  • A ∩ B = A ∪ B

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There are 10 questions to complete.

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