#Maths MCQ on set theory
1. Which symbol is used to denote a universal set?
a) U
b) ∅
c) {}
d) ∈
2. Which operation gives the elements present in both sets A and B?
a) Union
b) Intersection
c) Difference
d) Complement
3. Which of the following is not a subset of set A?
a) A itself
b) ∅ (empty set)
c) Set containing all elements
except one element present in A
d) A set containing elements not
present in A
4. How many subsets can be formed from a set with n elements?
a) 2^n
b) 2n
c) n!
d) n^n
5. If A and B are two sets, and A is a proper subset of B, then which of the following statements is true?
a) A ∪ B = B
b) A ∩ B = B
c) A ∪ B = A
d) none
6. If A ⊆ B, it means that:
a) A is a proper subset of B
b) B is a proper subset of A
c) A is a subset of B, including the
possibility of being equal
d) B is a subset of A, excluding
the possibility of being equal
7. If A ∩ B = A, what is the relationship between sets A and B?
a) A is a proper subset of B
b) A is a superset of B
c) A and B are disjoint sets
d) none
8. The complement of the universal set is:
a) An empty set
b) The universal set itself
c) The set containing all
non-universal elements
d) None of the above
9. The set difference A - B is defined as:
a) The set of elements common
to both A and B
b) The set of elements in either A
or B (or both)
c) The set of elements in A that
are not in B
d) The set of elements in B that
are not in A
10. The power set of a set A is defined as:
a) The set of all subsets of A,
including the empty set
b) The set of all proper subsets of
A
c) The set of elements in A that
are also elements of another set
d) The set of elements in A that
are not in another set
#Answer
1. a) U
2. b) Intersection
3. d) A set containing elements not present in A
4. a) 2^n
5. a) A ∪ B = B
6. c) A is a subset of B, including the possibility of being equal
7. a) A is a proper subset of B
8. a) An empty set
9. c) The set of elements in A that are not in B
10. a) The set of all subsets of A, including the empty set
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1. Which symbol is used to denote a universal set?
a) U
b) ∅
c) {}
d) ∈
2. Which operation gives the elements present in both sets A and B?
a) Union
b) Intersection
c) Difference
d) Complement
3. Which of the following is not a subset of set A?
a) A itself
b) ∅ (empty set)
c) Set containing all elements
except one element present in A
d) A set containing elements not
present in A
4. How many subsets can be formed from a set with n elements?
a) 2^n
b) 2n
c) n!
d) n^n
5. If A and B are two sets, and A is a proper subset of B, then which of the following statements is true?
a) A ∪ B = B
b) A ∩ B = B
c) A ∪ B = A
d) none
6. If A ⊆ B, it means that:
a) A is a proper subset of B
b) B is a proper subset of A
c) A is a subset of B, including the
possibility of being equal
d) B is a subset of A, excluding
the possibility of being equal
7. If A ∩ B = A, what is the relationship between sets A and B?
a) A is a proper subset of B
b) A is a superset of B
c) A and B are disjoint sets
d) none
8. The complement of the universal set is:
a) An empty set
b) The universal set itself
c) The set containing all
non-universal elements
d) None of the above
9. The set difference A - B is defined as:
a) The set of elements common
to both A and B
b) The set of elements in either A
or B (or both)
c) The set of elements in A that
are not in B
d) The set of elements in B that
are not in A
10. The power set of a set A is defined as:
a) The set of all subsets of A,
including the empty set
b) The set of all proper subsets of
A
c) The set of elements in A that
are also elements of another set
d) The set of elements in A that
are not in another set
#Answer
1. a) U
2. b) Intersection
3. d) A set containing elements not present in A
4. a) 2^n
5. a) A ∪ B = B
6. c) A is a subset of B, including the possibility of being equal
7. a) A is a proper subset of B
8. a) An empty set
9. c) The set of elements in A that are not in B
10. a) The set of all subsets of A, including the empty set
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