Mathematics Test Questions
Name___________________________________ Liberal Arts Math Practice Final B Prof Tim Siniscalchi MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the set is well defined. 1) The set of five countries in Europe having the smallest population A) well defined B) not well defined 1)
TRUE/FALSE. Write ʹTʹ if the statement is true and ʹFʹ if the statement is false. Tell whether the statement is true or false. 2) {2, 9, 13} = {0, 2, 9, 13} 3) {x | x is a counting number greater than 38} = {38, 39, 40, ...} MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find n(A) for the set. 4) A = {0, 2, 4, 6, 8} A) n(A) = 2 5) A = {x∣x ∈ N and 14 ≤ x ≤ 22} A) 36 B) 7 C) 37 D) 9 B) n(A) = 8 C) n(A) = 4 D) n(A) = 5 5) 4) 2) 3)
Determine whether the sets are equal, equivalent, both, or neither. 6) {L, M, N, O} and {l, m, n, o} A) Neither B) Equivalent C) Both D) Equal 7) C) Equal D) Neither 6)
7) {first, second, third} and {1, 2, 3} A) Both B) Equivalent
TRUE/FALSE. Write ʹTʹ if the statement is true and ʹFʹ if the statement is false. Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. 8) {0} ⊆ U 9) { } ⊂ C 8) 9)
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If the statement is true for all sets A and B, answer ʺtrue.ʺ If it is not true for all sets A and B, answer ʺfalse.ʺ Assume that A ≠ ∅, U ≠ ∅, and A ⊂ U. 10) B ⊆ B A) True 11) ∅ ⊄ ∅ A) True Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set. 12) (A ∩ B)ʹ A) {t, v, x} C) {s, u, w} Construct a Venn diagram illustrating the
TRUE/FALSE. Write ʹTʹ if the statement is true and ʹFʹ if the statement is false. Tell whether the statement is true or false. 2) {2, 9, 13} = {0, 2, 9, 13} 3) {x | x is a counting number greater than 38} = {38, 39, 40, ...} MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find n(A) for the set. 4) A = {0, 2, 4, 6, 8} A) n(A) = 2 5) A = {x∣x ∈ N and 14 ≤ x ≤ 22} A) 36 B) 7 C) 37 D) 9 B) n(A) = 8 C) n(A) = 4 D) n(A) = 5 5) 4) 2) 3)
Determine whether the sets are equal, equivalent, both, or neither. 6) {L, M, N, O} and {l, m, n, o} A) Neither B) Equivalent C) Both D) Equal 7) C) Equal D) Neither 6)
7) {first, second, third} and {1, 2, 3} A) Both B) Equivalent
TRUE/FALSE. Write ʹTʹ if the statement is true and ʹFʹ if the statement is false. Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. 8) {0} ⊆ U 9) { } ⊂ C 8) 9)
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. If the statement is true for all sets A and B, answer ʺtrue.ʺ If it is not true for all sets A and B, answer ʺfalse.ʺ Assume that A ≠ ∅, U ≠ ∅, and A ⊂ U. 10) B ⊆ B A) True 11) ∅ ⊄ ∅ A) True Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. List the elements in the set. 12) (A ∩ B)ʹ A) {t, v, x} C) {s, u, w} Construct a Venn diagram illustrating the