Mathematics Practice Tests (SS1 – SS3) – Set Theory

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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 A ∩ C.

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

If Set A = {1, 3, 5, 6, 8} and Set B = {2, 5, 7, 8}, then A – B = ______ 

A. {2, 7}    B. {1, 3, 5, 6, 8}   C. {1, 3, 6}    D. {2, 5, 7, 8}

A set whose elements can be counted is said to be ______ 

A. unlimited set      B. empty set      C. null set      D. finite set

If P = {odd numbers between 10 and 20}, find n (P)

A. 10      B. 20      C. 11      D. 5

If Set A = {1, 3, 5, 6, 8} and Set B = {2, 5, 7, 8}, then B – A = ______ 

A. {2, 7}    B. {1, 3, 5, 6, 8}   C. {1, 3, 6}    D. {2, 5, 7, 8}

Set Theory:

Which of the following is the Set A = {x: x < 5}

A. {3, 2, 1, 0, -1, -2,….}   
B. {4, 3, 2, 1, 0, -1, -2,….}  
C. {5, 4, 3, 2, 1, 0, -1, -2,….}  
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)

List the elements of B.

A. {2, 4, 8, 10, 18, 20}
B. {3, 6, 9, 12, 15, 18}
C. {4, 8, 12, 16, 20}
D. {5, 10, 15, 20}

If P = {1, 2, 3, 4} and Q = {3, 5, 6}, find (P ∪ Q) ∩ P. 

A. {1, 2, 3, 4}       B. {3, 5, 6}       C. { 3 }      D. {1, 2, 3, 4, 5, 6}

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

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


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

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

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