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Objective Questions

Latest CUET PG Data Science Exam Question (Objective Questions), MCQ in English

Subjects : Data Science, Artificial Intelligence, Cyber Security

Question Bank CUET PG Data Science Exam - English
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Data Science, Artificial Intelligence, Cyber Security

Question 1Single Answer
Which of the following represents the complement of set A?
  1. A
    A'
  2. B
    A ∪ B
  3. C
    A ∩ B
  4. D
    A ⊆ B
Question 2Single Answer
If A = {1, 2, 3}, and B = {2, 3, 4}, what is A ∩ B?
  1. A
    {1, 2}
  2. B
    {2, 3}
  3. C
    {1, 3}
  4. D
    {1, 4}
Question 3Single Answer
Which of the following is the Cartesian product of sets A = {1, 2} and B = {a, b}?
  1. A
    {(1, a), (2, b)}
  2. B
    {(1, a), (1, b), (2, a), (2, b)}
  3. C
    {(a, 1), (b, 2)}
  4. D
    {(a, b)}
Question 4Single Answer
Which of the following is true for a symmetric relation?
  1. A
    If (a, b) ∈ R, then (b, a) ∈ R
  2. B
    If (a, b) ∈ R, then (a, c) ∈ R
  3. C
    If (a, b) ∈ R, then (b, c) ∈ R
  4. D
    If (a, b) ∈ R, then (a, a) ∈ R
Question 5Single Answer
The power set of a set with 3 elements has how many elements?
  1. A
    3
  2. B
    6
  3. C
    8
  4. D
    12
Question 6Single Answer
What does the intersection of two sets A and B represent?
  1. A
    All elements that are in A but not in B
  2. B
    All elements that are in A or in B
  3. C
    All elements that are in both A and B
  4. D
    All elements that are in neither A nor B
Question 7Single Answer
What is the Hasse diagram used to represent?
  1. A
    A graph of relations
  2. B
    A diagram of partial orders
  3. C
    A diagram of set operations
  4. D
    A diagram of group elements
Question 8Single Answer
Which of the following is an equivalence relation?
  1. A
    Greater than relation on integers
  2. B
    Divisibility relation on integers
  3. C
    Equality relation on real numbers
  4. D
    Less than relation on real numbers
Question 9Single Answer
Which type of function is both one-to-one and onto?
  1. A
    Bijective
  2. B
    Injective
  3. C
    Surjective
  4. D
    Constant
Question 10Single Answer
Which of the following is a necessary condition for a set G with an operation * to be a group?
  1. A
    The operation * must be associative.
  2. B
    There must be an identity element in G.
  3. C
    Every element in G must have an inverse.
  4. D
    All of the above
Question 11Single Answer
A cyclic group is a group that can be generated by how many elements?
  1. A
    One element
  2. B
    Two elements
  3. C
    Three elements
  4. D
    Infinite elements
Question 12Single Answer
Which of the following is an example of a permutation group?
  1. A
    The set of real numbers under addition
  2. B
    The set of integers under multiplication
  3. C
    The set of all possible rearrangements of a set of elements
  4. D
    The set of matrices under matrix multiplication
Question 13Single Answer
Which of the following defines a partial order on a set?
  1. A
    Reflexivity, symmetry, and transitivity
  2. B
    Reflexivity, antisymmetry, and transitivity
  3. C
    Symmetry, transitivity, and antisymmetry
  4. D
    Reflexivity, symmetry, and antisymmetry
Question 14Single Answer
Which of the following is true for a Hasse diagram?
  1. A
    It represents a linear order
  2. B
    It represents a partial order
  3. C
    It is used for set operations
  4. D
    It represents a group operation
Question 15Single Answer
Which of the following relations is reflexive?
  1. A
    Greater than relation
  2. B
    Equal to relation
  3. C
    Divisible by relation
  4. D
    Less than relation
Question 16Single Answer
Which of the following statements is true about equivalence relations?
  1. A
    They are always transitive
  2. B
    They are always reflexive and symmetric
  3. C
    They are always antisymmetric
  4. D
    They are only reflexive
Question 17Single Answer
Which of the following is an example of a transitive relation?
  1. A
    “is greater than” on integers
  2. B
    “is equal to” on real numbers
  3. C
    “is a parent of” relation
  4. D
    “is a friend of” relation
Question 18Single Answer
Which of the following is true about a function f(x)?
  1. A
    A function can have multiple outputs for one input.
  2. B
    A function has exactly one output for every input.
  3. C
    A function cannot have negative inputs.
  4. D
    A function has multiple inputs and outputs.
Question 19Single Answer
Which of the following is the inverse of the function f(x) = 2x + 3?
  1. A
    f-1(x) = (x - 3)/2
  2. B
    f-1(x) = (x + 3)/2
  3. C
    f-1 (x) = x - 3
  4. D
    f-1 (x) = 2x - 3
Question 20Single Answer
If f(x) = x + 1 and g(x) = 2x, what is the composition f(g (x))?
  1. A
    2x + 1
  2. B
    x + 2
  3. C
    2x + 2
  4. D
    3x
Question 21Single Answer
If f(x) = x2 and g(x) = 2x, what is f(g(x))?
  1. A
    4x2
  2. B
    x4
  3. C
    2x2
  4. D
    x2 + 2x
Question 22Single Answer
What is the identity element in the group (Z, +)?
  1. A
    0
  2. B
    1
  3. C
    -1
  4. D
    None of the above
Question 23Single Answer
Which of the following is the Boolean expression for A AND B?
  1. A
    A ∧ B
  2. B
    A ∨ B
  3. C
    A ⊕ B
  4. D
    A → B
Question 24Single Answer
Which of the following is the identity law in Boolean algebra?
  1. A
    A ∧ 1 = A
  2. B
    A ∧ 0 = A
  3. C
    A ∨ 0 = A
  4. D
    A ∨ 1 = A
Question 25Single Answer
The Boolean expression (A ∧ B) ∨ (A ∧ C) is equivalent to:
  1. A
    A ∧ (B ∨ C)
  2. B
    (A ∨ B) ∧ C
  3. C
    A ∨ (B ∧ C)
  4. D
    A ∧ B ∧ C
Question 26Single Answer
Which of the following sets is a subset of the set {1, 2, 3}?
  1. A
    {1, 2, 3, 4}
  2. B
    {1, 2}
  3. C
    {4, 5}
  4. D
    {2, 3, 4}
Question 27Single Answer
If A = {x | x is a positive integer less than 10} and B = {x | x is an odd integer less than 10}, what is A ∩ B?
  1. A
    {1, 3, 5, 7, 9}
  2. B
    {2, 4, 6, 8}
  3. C
    {1, 3, 5}
  4. D
    {2, 4, 6}
Question 28Single Answer
If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?
  1. A
    {1, 2}
  2. B
    {3, 4, 5}
  3. C
    {1, 2, 3, 4, 5}
  4. D
    {1, 2, 3}
Question 29Single Answer
Which of the following is an example of a set difference?
  1. A
    A ∩ B
  2. B
    A ∪ B
  3. C
    A - B
  4. D
    A ⊆ B
Question 30Single Answer
What is the Cartesian product of A = {1, 2} and B = {a, b, c}?
  1. A
    {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)}
  2. B
    {(1, a), (2, b)}
  3. C
    {(1, a), (2, b)}
  4. D
    {(a, b), (b, c)}
Question 31Single Answer
What is the range of the function f(x) = 2x + 1?
  1. A
    All real numbers
  2. B
    Non-negative real numbers
  3. C
    Non-positive real numbers
  4. D
    Only integer values
Question 32Single Answer
What is the domain of the function f(x) = x2?
  1. A
    All real numbers
  2. B
    All positive real numbers
  3. C
    All integers
  4. D
    All negative real numbers
Question 33Single Answer
Which of the following is the inverse of the function f(x) = 2x + 3?
  1. A
    f-1 (x) = (x - 3)/2
  2. B
    f-1 (x) = (x + 3)/2
  3. C
    f-1 (x) = x - 3
  4. D
    f-1 (x) = 2x - 3
Question 34Single Answer
If f(x) = x + 1 and g(x) = 2x, what is the composition f(g (x))?
  1. A
    2x + 1
  2. B
    x + 2
  3. C
    2x + 2
  4. D
    3x
Question 35Single Answer
If f(x) = x2 and g(x) = 2x, what is f(g (x))?
  1. A
    4x2
  2. B
    x4
  3. C
    2x2
  4. D
    x2 + 2x
Question 36Single Answer
Which of the following is a necessary condition for a set G with an operation * to be a group?
  1. A
    The operation must be associative
  2. B
    There must be an identity element in G
  3. C
    Every element in G must have an inverse
  4. D
    All of the above
Question 37Single Answer
Which of the following is the identity law in Boolean algebra?
  1. A
    A ∧ 1 = A
  2. B
    A ∧ 0 = A
  3. C
    A ∨ 0 = A
  4. D
    A ∨ 1 = A
Question 38Single Answer
What is the Cartesian product of A = {1, 2} and B = {a, b, c}?
  1. A
    {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)}
  2. B
    {(1, a), (2, b)}
  3. C
    {(1, a), (2, b)}
  4. D
    {(a, b), (b, c)}
Question 39Single Answer
Which of the following is an example of a one-to-one function?
  1. A
    f(x) = x2
  2. B
    f(x) = x + 2
  3. C
    f(x) = sin(x)
  4. D
    f(x) = x3
Question 40Single Answer
Which of the following is a bijective function?
  1. A
    f(x) = x2, where x ∈ R
  2. B
    f(x) = x + 1, where x ∈ R
  3. C
    f(x) = sin(x)
  4. D
    f(x) = x2, where x ≥ 0
Question 41Single Answer
What is the inverse of the function f(x) = 3x + 2?
  1. A
    f-1 (x) = (x - 2)/3
  2. B
    f-1 (x) = (x + 2)/3
  3. C
    f-1 (x) = 3x - 2
  4. D
    f-1 (x) = x - 2
Question 42Single Answer
What is the composition of functions f(x) = x + 1 and g(x) = x2?
  1. A
    f(g(x)) = (x + 1)2
  2. B
    f(g(x)) = x2 + 1
  3. C
    f(g(x)) = x2 + x
  4. D
    f(g(x)) = x2 + 2
Question 43Single Answer
If f(x) = x3 and g(x) = 2x + 1, what is f(g (x))?
  1. A
    (2x + 1)3
  2. B
    2x + 1
  3. C
    x6 + 1
  4. D
    x3 + 1
Question 44Single Answer
Which of the following is true for the identity element in a group?
  1. A
    It has an inverse
  2. B
    It does not change any element when combined with it
  3. C
    It is always a nonzero number
  4. D
    It must be unique
Question 45Single Answer
Which of the following is a property of a cyclic group?
  1. A
    It can only be generated by two elements
  2. B
    It is always finite
  3. C
    It can be generated by one element
  4. D
    It contains no identity element
Question 46Single Answer
Which of the following is true for a permutation group?
  1. A
    The group elements are all prime numbers
  2. B
    The group contains all possible rearrangements of a set
  3. C
    The group is not commutative
  4. D
    The group has no identity element
Question 47Single Answer
In a group (G,), what is the identity element for addition?
  1. A
    1
  2. B
    0
  3. C
    -1
  4. D
    None of the above
Question 48Single Answer
Which of the following is a necessary property for a set with an operation to be considered a group?
  1. A
    The operation must be commutative
  2. B
    There must be an identity element
  3. C
    Every element must have an inverse
  4. D
    All of the above
Question 49Single Answer
What is the inverse of the element 5 in the group of integers under addition?
  1. A
    0
  2. B
    -5
  3. C
    5
  4. D
    1
Question 50Single Answer
Which of the following sets is an example of a partial order?
  1. A
    “is greater than” on real numbers
  2. B
    “is divisible by” on integers
  3. C
    “is equal to” on real numbers
  4. D
    “is a friend of” relation
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