MCQs

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Overall MCQs for Reference

Which of the following best defines a set in mathematics?
a. An ordered collection of elements
b. An unordered collection of distinct elements
c. A single numerical value
d. A sequence of operations
Answer: bscribd+1
What is a proper subset?
a. A set containing all elements of another set
b. A set included within another set but not equal to it
c. A set containing no elements
d. The universal set
Answer: btestbook+1
The union of two sets A and B, denoted as A ∪ B, represents:
a. Elements common to A and B
b. Elements in only A
c. All elements in A or B or both
d. Only elements in B
Answer: csanfoundry+1
The intersection of sets A and B, denoted A ∩ B, is:
a. Elements in A not in B
b. Elements common to both A and B
c. All elements in either set
d. The entire universal set
Answer: bscribd+1
If A = {1,2,3} and B = {2,3,4}, what is the intersection A ∩ B?
a. {1, 4}
b. {2, 3}
c. {1, 2, 3, 4}
d. ∅
Answer: btestbook+1
Which symbol denotes the empty set?
a. U
b. ∩
c. ∅
d. ⊂
Answer: csanfoundry+1
The number of subsets of a set with n elements is:
a. n
b. 2n
c. n!
d. n^2
Answer: bscribd+1
A set with no elements is called:
a. Universal set
b. Finite set
c. Empty set
d. Infinite set
Answer: ctestbook+1
What is the power set of {a,b}?
a. {{a}}
b. {{a},{b}}
c. {{},{a},{b},{a,b}}
d. {{a,b}, {a}}
Answer: csanfoundry+1
Which operation gives the elements in A that are not in B?
a. Union
b. Intersection
c. Difference
d. Symmetric difference
Answer: cscribd+1
The complement of a set A refers to:
a. Elements only in A
b. Elements not in A within the universal set
c. All elements of A
d. The empty set
Answer: btestbook+1
In data science, sets are primarily used for:
a. Adding duplicate data
b. Data integrity and unique values
c. Sorting data
d. Summing values
Answer: bsanfoundry+1
Which of the following is an example of representing sets using roster notation?
a. {x | x is an even number}
b. {2, 4, 6, 8}
c. {x ∈ N, x < 10}
d. (2, 4, 6, 8)
Answer: bsanfoundry+1
Set-builder notation for all natural numbers less than 6 is:
a. {1,2,3,4,5}
b. {x | x is a natural number < 6}
c. {a, b, c, d, e}
d. {x : x = 1, 2, 3, 4, 5}
Answer: bselfstudys+1
What does a Venn diagram illustrate?
a. Frequency of data values
b. Set relationships and operations
c. Data distribution in histograms
d. Regression models
Answer: bscribd+1
In Python, what is true about sets?
a. Allow duplicate values
b. Are mutable and unordered
c. Are immutable
d. Must be sorted
Answer: bsanfoundry
Given n(A) = 3, how many subsets does set A have?
a. 3
b. 6
c. 8
d. 7
Answer: ctestbook+1
The Cartesian product of A = {1,2} and B = {a,b} is:
a. {(1, a), (1, b), (2, a), (2, b)}
b. {1,2,a,b}
c. {1, a, 2, b}
d. {(a, 1), (b, 2)}
Answer: asanfoundry+1
Which is a universal set in the context of data science?
a. The set containing all possible data points
b. The set with no data points
c. Any finite set
d. Only a subset of elements
Answer: ageeksforgeeks+1
If A = {1,2,3}, B = {3,4,5}, A ∪ B =
a. {1,2,3,4,5}
b. {1,2,3}
c. {3}
d. {4,5}
Answer: ascribd+1
Which law states: A ∪ (B ∪ C) = (A ∪ B) ∪ C
a. Distributive law
b. Associative law
c. De Morgan’s law
d. Commutative law
Answer: bsanfoundry+1
If A and B are disjoint sets, then A ∩ B =
a. A
b. B
c. ∅
d. A ∪ B
Answer: ctestbook+1
The difference A – B is also called:
a. Symmetric difference
b. Relative complement of B in A
c. Intersection
d. Union
Answer: bscribd+1
Number of proper subsets of a set with 4 elements:
a. 2
b. 8
c. 15
d. 16
Answer: ctestbook+1
What defines set cardinality?
a. The number of subsets of a set
b. The number of elements in a set
c. The maximum element
d. The order of insertion
Answer: bscribd+1
Which of the following represents an infinite set?
a. {1,2,3,4,5}
b. {x | x ∈ N}
c. {a, b, c}
d. {}
Answer: bsanfoundry+1
Which is false regarding Python sets?
a. They can store duplicate values
b. They are mutable
c. They are unordered
d. They do not allow duplicate values
Answer: asanfoundry
The element not present in union of disjoint sets:
a. Any element of the intersection
b. Any element of either set
c. Elements outside the union
d. None of the above
Answer: asanfoundry+1
Which operation gives elements present in either set but not in both?
a. Intersection
b. Union
c. Symmetric difference
d. Difference
Answer: ctestbook+1
Which set operation is distributive over intersection?
a. Union
b. Difference
c. Symmetric difference
d. Complement
Answer: ascribd+1
If U = {1,2,3,4,5,6}, A = {1,3,5}, what is the complement of A?
a. {1,3,5}
b. {2,4,6}
c. {}
d. {1,2,3,4,5,6}
Answer: btestbook+1
If two sets have the same number of elements and same elements, they are:
a. Equivalent sets
b. Subsets
c. Proper sets
d. Disjoint sets
Answer: asanfoundry+1
The set {x | x^2 = 4} in roster form is:
a. {-2, 2}
b. {2}
c. {4}
d. {2, 4}
Answer: ascribd+1
In set theory, the empty set is:
a. Null set
b. Subset of every set
c. Both a and b
d. None
Answer: ctestbook+1
The largest possible subset of any set is:
a. Empty set
b. The set itself
c. Universal set
d. Power set
Answer: bscribd+1
In Python, how do you declare a set?
a. set()
b. {}
c. []
d. dict()
Answer: asanfoundry
If A = {x | x even, x < 10}, what is A?
a. {2,4,6,8}
b. {2,4,6,8,10}
c. {0,2,4,6,8}
d. {2,4,6,8,10,12}
Answer: bsanfoundry+1
The intersection of any set with universal set U is:
a. The set itself
b. The empty set
c. Universal set
d. None
Answer: atestbook+1
If A = {2, 4}, B = {4, 6}, find A Δ B (symmetric difference).
a. {2, 6}
b. {4}
c. {2, 4, 6}
d. {2, 4}
Answer: asanfoundry+1
Select the set represented by set-builder notation: {x | x ∈ N, x < 5}
a. {1,2,3,4}
b. {1,2,3,4,5}
c. {0,1,2,3,4}
d. {2,4}
Answer: ascribd+1
In data science, removing duplicates from a list converts it to:
a. A tuple
b. A set
c. A dictionary
d. A list
Answer: bsanfoundry+1
What is the complement operation symbol?
a. ∪
b. ‘
c. ∩
d. Δ
Answer: bsanfoundry+1
What is a singleton set?
a. A set with one element
b. A set with two elements
c. An empty set
d. A set with infinite elements
Answer: ascribd+1
For a dataset: D = {‘apple’, ‘banana’, ‘apple’}, converting to set results in:
a. {‘apple’, ‘banana’}
b. {‘apple’, ‘banana’, ‘apple’}
c. [‘apple’, ‘banana’]
d. {‘banana’}
Answer: asanfoundry
Which of the following is NOT a valid set operation?
a. Union
b. Intersection
c. Sorting
d. Difference
Answer: csanfoundry+1
If P = Power set of {a,b}, then |P| =
a. 2
b. 3
c. 4
d. 5
Answer: ctestbook+1
Which visual tool is commonly used for sets in data science?
a. Pie chart
b. Venn diagram
c. Histogram
d. Box plot
Answer: bscribd+1
The concept of sets is fundamental in which data operation?
a. Filtering
b. Normalization
c. Indexing
d. Clustering
Answer: asanfoundry+1
Which statement is true for every set S?
a. S ⊂ S
b. S = ∅
c. ∅ ⊂ S
d. S ⊆ S
Answer: dtestbook+1
A set containing all subsets of a set A is known as:
a. Universal set
b. Complementary set
c. Power set
d. Singleton set
Answer: ctestbook+2

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