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This quiz contains multiple-choice problems on sets and their operations and types, Venn diagram, subsets, functions and its growth, algebraic laws, range and domain of functions, arithmetic and geometric sequences, special and harmonic sequences, matrices types, properties and operations, transpose and inverse of matrices, sequences and summations.
{x: x is a real number between 1 and 2} is a/an
Infinite set
Finite set
Empty set
None of the above
{x: x is an integer that is neither positive nor negative} is a/an
Empty set
Non-empty set
Finite set
Non-empty and finite set
Which of the following expresses the set {1, 5, 15, 25,…} in set-builder form.
{x: either x=1 or x=5n, where n is a real number}
{x: either x=1 or x=5n, where n is a integer}
{x: either x=1 or x=5n, where n is an odd natural number}
{x: x=5n, where n is a natural number}
Which of the following expresses {x: x= n/ (n+1), n is a natural number less than 7} in roster form?
{1⁄2, 2⁄3, 4⁄5, 6⁄7}
{1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7, 7⁄8}
{1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7}
Infinite set
Which of the following is a subset of the set {1, 2, 3, 4}?
{1, 2}
{1, 2, 3}
{1}
All of the above
What is the total number of elements in the power set of {a, b}, where a and b are distinct elements?
3
4
2
5
Which of the following is true for A = {∅, {∅}, 2, {2, ∅}, 3}?
{{∅,{∅}} ∈ A
{2} ∈ A
∅ ⊂ A
3 ⊂ A
Which of the following is a subset of the set A = { }?
A
{}
∅
All of the above
Which of the following expresses {x: x is a positive prime number which divides 72} in roster form?
{2, 3, 5}
{2, 3, 6}
{2, 3}
{∅}
The union of the sets {1, 2, 5} and {1, 2, 6} is the set
{1, 2, 6, 1}
{1, 2, 5, 6}
{1, 2, 1, 2}
{1, 5, 6, 3}
The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set
{1, 2}
{5, 6}
{2, 5}
{1, 6}
Two sets are called disjoint if their __ results in an empty set.
Union
Difference
Intersection
Complement
{x: x ∈ N and x is prime} is a/an
Infinite set
Finite set
Empty set
Not a set
The difference of {1, 2, 3} and {1, 2, 5} is the set
{1}
{5}
{3}
{2}
Which of the following set pairs is disjoint?
{1, 3, 5} and {1, 3, 6}
{1, 2, 3} and {1, 2, 3}
{1, 3, 5} and {2, 3, 4}
{1, 3, 5} and {2, 4, 6}
