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

In the diagram above, the shaded portion(s) indicate the relationship ______

A. (A ∩ B)’
B. A’ ∩ B’
C. A ∩ B’
D. A ∪ B

Find the number of subsets in the set N = {Prime numbers from 5 to 20}

A. 5   B. 6   C. 32   D. 64

If Set A = {1, 2, 3, 4} and Set B = {7, 8, 9, 10}, then Set A and B are said to be _____

A. subset      B. disjoint set      C. null set      D. finite set

In the diagram above, the shaded portion(s) indicate the relationship ______

A. A ∩ B ∩ C     B. A’ ∩ B’ ∩ C      C. A ∩ B ∩ C’      D. none of the above

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}