WorksheetsDMS FINAL QUIZ
Total questions: 50
Worksheet time: 50mins
Which of the following best describes a set?
A list of repeating objects
A collection of distinct elements
A group of identical items
An ordered arrangement
Which notation represents the empty set?
{}
{0}
∪
U
What is the cardinality of the set {a, b, c, d}?
2
3
4
5
Which set is a subset of {1, 2, 3}?
{4}
{1, 3}
{2, 4}
{0, 1}
Two sets are disjoint if they:
Share all elements
Share at least one element
Have no elements in common
Have equal cardinalities
What is the union of {A,B} and {B,C}?
{B}
{A, B}
What is the intersection of {2, 4, 6, 8} and {3, 6, 9}?
{2, 3}
{6}
{8, 9}
{}
Which symbol means “is an element of”?
⊆
∈
∅
n
The power set of {1,2} has how many elements?
2
3
4
5
What is P(A) if A = {m, n, o}?
3
6
8
9
Which of the following is a proper subset of {5,6,7}?
{5,6,7}
{8}
{5,7}
{6,7,8}
If A = {2,4,6} and B = {}, then A ∩ B =
(a)
The universal set contains:
All real numbers
All elements under discussion
All integers
All natural numbers
A – B means:
Elements in A and B
Elements only in B
Elements in A not in B
Elements in none
The symmetric difference of sets A and B contains:
All shared elements
Elements only in A
Elements only in B
Elements in A or B but not both
If U = {1–10} and A = {2,4,6,8}, Ac =
{1,3,5,7,9,10}
{2,4,6,8}
{1,2,3,4,5}
{6,7,8,9}
If A = {1,3,5} and B = {2,4,6}, they are:
Equal
Intersecting
Disjoint
Complementary
The Cartesian product A × B consists of:
Sums of elements
Ordered pairs
Unordered pairs
The intersection of A and B
If A = {x | x is an even number < 6}, then A =
{1,2,3}
{2,4}
{2,3,4,5}
{4,6,8}
If |A| = 3 and |B| = 4, then |A × B| =
7
3
4
12
Which set is equal to {a,b,c}?
{c,b,a}
{a,a,b,c}
{a,b}
{a,c,d}
The complement of ∅ is:
∅
U
{}
{0}
A ∩ U =
{}
U
A
24. A ∪ ∅ =
A
∅
Ac
U
If A = {1,2,3,4} and B = {3,4}, A ⊕ B =
{3,4}
{1,2,5}
{1,2,3,4,5}
{2,4,5}
A function maps each element of the domain to:
All elements of the codomain
Exactly one element of the codomain
At least two outputs
No output
A one-to-one function is:
Injective
Surjective
Bijective
Constant
A function that is onto is called:
Injective
Surjective
Bijective
Composite
A function that is both injective and surjective is:
(a)
If f(x) = x + 2, what is f(1)?
1
2
3
4
In f:A→B, the set B is the:
Domain
Range
Codomain
Mapping
If g(x) = 2x, what is g(0)?
0
1
2
–2
The range of a function is:
All possible outputs
All possible inputs
Domain
Codomain
If f(x) = x – 1, what is f(2)?
0
1
2
3
Which of the following is NOT a function?
{(1,2),(2,3),(3,4)}
{(a,b),(a,c)}
f(x)=x+2
g(x)=3x
Composition of functions means:
Adding functions
Applying one function inside another
Subtracting outputs
Reversing inputs
If f(x) = x + 1, what is f(3)?
2
3
4
5
Domain of g(x)=1/x is:
All real numbers
All except 0
Only positive numbers
Only integers
A relation is a function if:
Inputs repeat
Outputs repeat
Each input has exactly one output
Inputs have multiple outputs
If h(x)=3x+1, what is h(–2)?
–5
–3
–7
A proposition is a statement that is:
A question
Command
Has a truth value
Expression without value
“4 + 5 = 10” is:
True proposition
False proposition
Not a proposition
An open statement
“x + 3 = 6” is:
Truth
Proposition
Open statement
Command
The negation of “p is true” is:
p
p ∨ q
¬p
p ∧ q
If p = true and q = false, p ∧ q =
True
False
Undefined
Both
If p = false and q = true, p ∨ q =
True
False
Both
Neither
Which of the following is a conjunction?
p ∧ q
p ∨ q
¬p
p + q
The disjunction p ∨ q is false only when:
p is true and q is false
p is false and q is true
both p and q are true
both p and q are false
Which of the following is a negation?
p ∧ q
p ∨ q
¬p
p + q
A statement that is always false is called:
Contradiction
Proposition
Negation
Condition
