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Total questions: 60
Worksheet time: 45mins
If x is a set and the set contains an integer which is neither positive nor negative then the set x is ____________
Set is Empty
Set is non-empty
Set is Finite.
Set is both Non- empty and Finite
If x is a set and the set contains the real number between 1 and 2, then the set is ________.
Empty set
Finite set
Infinite set
None of the mentioned
Which of the following is a subset of set {1, 2, 3, 4}?
{1, 2}
{1, 2, 3}
{1}
All of the mentioned
Power set of empty or Null set has exactly _________ subset.
One
Two
Zero
Three
The members of the set S = {x | x is the square of an integer and x < 100} is ________________
{0, 2, 4, 5, 9, 55, 46, 49, 99, 81}
{1, 4, 9, 16}
{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
{0, 1, 4, 9, 25, 36, 49, 123}
The difference of {1, 2, 3, 6, 8} and {1, 2, 5, 6} is the set ____________ .
{1, 3}
{5, 6, 8}
{3, 8}
{2, 6, 5}
The cardinality of the Power set of the set {1, 5, 6} is______________.
5
6
8
10
The Cartesian product of the (Set Y) x (Set X) is equal to the Cartesian product of (Set X) x (Set Y) or Not?
Yes
No
None of the above
I Don't know
. If X = {2, 8, 12, 15, 16} and Y= {8, 16, 15, 18, 9} then union of X and Y is___________.
{2, 8, 12, 15, 16}
{ 8, 16, 15}
{8, 16, 15, 18, 9}
{2, 8, 9, 12, 15, 16, 18}
Which option contains two equal sets?
X = {5, 6} and Y = {6}
X = {5, 6, 8, 9} and Y = {6, 8, 5, 9}
X = {5, 6, 9} and Y = {5, 6}
X = {5, 6} and Y = {5, 6, 3}
What is the Cartesian product of set A and set B, if the set A = {1, 2} and set B = {a, b}?
{ (1, a), (1, b), (2, a), (b, b) }
{ (1, 1), (2, 2), (a, a), (b, b) }
{ (1, a), (2, a), (1, b), (2, b) }
{ (1, 1), (a, a), (2, a), (1, b) }
The intersection of the sets {1, 2, 8, 9, 10, 5} and {1, 2, 6, 10, 12, 15} is the set _____________
{1, 2, 10}
{5, 6, 12, 15}
{2, 5, 10, 9}
{1, 6, 12, 9, 8}
Which among the following can be taken as the discrete object?
People
Rational numbers
Integers
All of the mentioned
What type of set is denoted as either { } or ∅?
Superset
Disjointed Set
Empty (or Null) Set
Subset
A = {x : x is a letter in the word SEAT}
B = {x : x is a letter in the word TASTE}
Determine if these two sets are equal or equivalent.
Not equal because seat has 4 letters and taste has 5 letters.
Equivalent because they have the same letters
Equal because each set has the same cardinality and the same letters.
The collection of well-defined group of objects.
Element
Set
Cardinality
Universal Set
What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}
10
9
8
7
Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.
D = {m, a, t, h, e, m, a, t, i, c, s}
D = {m, a, t, h}
D = {m, a, t, h, e, i, c, s}
D = {m, a, t, h, i, c, s}
Set C is the set of whole numbers less than 9. Write the set using the Roster method.
C = {1, 2, 3, 4, 5, 6, 7, 8, 9}
C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
C = {1, 2, 3, 4, 5, 6, 7, 8}
C = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Which of the following is the symbol for element of?
∅
⊂
∈
⊂
A set whose elements are countable.
finite
infinite
equal
equivalent
What is the cardinality of a null set?
0
1
infinite
undefined
The set of all the numbers between 0 and 1
Null set
Unit set
Finite set
Infinite set
Determine whether the set is finite or infinite:
A={10, 20, 30, ...}
Finite
Infinite
Determine if these two sets are equal or equivalent.
A = {2, 6, 10, 14}
B = {6, 2, 14, 16}
Equal
Equivalent
Equal sets have
the exact same elements
the same number of elements
the opposite
nothing
Equivalent sets have
the opposite elements
nothing
the exact same elements
the same number of elements
The objects in the set are called its
items
members
elements
objects
Identify the shaded area...
A
B
A'
B'
If A={1, 2, 3, {4}} then which of the following is correct ?
4 ∈ A
{4} ∈ A
{4} ⊆ A
None of These
What is the complement of A?
Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.
D = {m, a, t, h, e, m, a, t, i, c, s}
D = {m, a, t, h}
D = {m, a, t, h, e, i, c, s}
D = {m, a, t, h, i, c, s}
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?
{3, 5, 7}
{2, 3, 5, 7}
{2, 3, 5, 7, 9}
{1, 2, 3, 5, 7, 9}
What is the complement of A?
P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}
R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?
If
P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}
R = {3, 6, 9}, and S = {6, 12, 18}
Then what is (P ∪ Q) ∩ (S ∪ R)?
{6}
{3, 6}
{4, 6}
{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}
If
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
{1,3,5}
{1,2,3}
{2,3,5}
{2}
If
U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..
{1, 3, 13, 15, 17}
{1, 3}
{2, 4, 6, 8, 10, 12, 14, 16}
{1, 3, 5, 7, 9, 11, 13, 15, 17}
What does this symbol ( ∪ ) represent in set theory?
Union
Intersection
Disjointed
Subset
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}
If
A = {1, 3, 5, 15},
B = {2, 3, 5, 7}
C = {2, 4, 6, 8}
then what is (A U B) ∩ C ?
{1,3,5}
{1,2,3}
{2,3,5}
{2}
For any set A, A⋃ϕ=
A
Φ
U
For any set A, A∪U=
A
U
Φ
Cardinality of the power set of a set with 20 elements is
220
202
2×20
10×20
If U={1,2,3,4,5,6,7,8} and A⊂U, and A={3,4,8} then the bit string representation of A is
11001110
00110001
11101100
00110011
Find a bit string of length 10
1100110101
1100101020
1010109110
001100101
{∅} ∈ {{∅}}
True
False
0 ∈ ∅
False
True
