Mathematics Practice Test – Set Theory (Questions with Answers and Explanations)

Hello and Welcome to Mathematics Practice Test - Set Theory

  1. You are to attempt 5 random objectives questions ONLY.
  2. Supply Your Full Name and Location in the text box below and begin immediately.
  3. You can attempt as many times as possible
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1. 


If A = {1, 2, 3, 4}, then 4  A means that _______

A. A is an empty set      B. 4 is an empty element       C. 4 is an element of A       D. A is an element of 4

2. 


If U = {1, 2, 3, 4, 5}, A = {1, 2} and B = {2, 3}, find A’

A. {1, 2, 3, 4, 5}      B. {1, 2}      C. {2, 3,}      D. {3, 4, 5}

3. 


If U = {1, 2, 3, 4, 5}, A = {1, 2} and B = {2, 3}, find A’ ∩ B’

A. {2, 3, 4, 5}      B. {1, 2}      C. {2, 3,}      D. {4, 5}

4. 


The Universal Set U = {1, 2, 3, ……, 19, 20} and subsets A, B, C of U are given by

A = (multiples of five)
B = (multiples of four)
C = (multiples of three)

Find B ∪ C.

A. {15, 18, 20}     B. {3, 6, 9, 12, 15, 18}     C. {3, 4, 6, 8, 9, 12, 15, 16, 18, 20}    D. {5, 10, 15, 20}

5. 


If A = {5, 6, 7, 8}, then the following are subsets of A EXCEPT _______

A. {7, 8, 6}   B. {6, 7, 8}   C. { }   D. {4, 5, 6}


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