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Latest Bihar STET Mathematics Exam Question (Objective Questions), MCQ in English

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Question Bank Bihar STET Mathematics Exam Paper 2 - English
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Specific Subject (Mathematics)

Question 1Single Answer
Which of the following sets is finite?
  1. A
    Set of prime numbers less than 50
  2. B
    Set of integers
  3. C
    Set of natural numbers
  4. D
    Set of rational numbers
Question 2Single Answer
A set is countable if it is?
  1. A
    Finite only
  2. B
    Empty only
  3. C
    Uncountable only
  4. D
    Finite or countably infinite
Question 3Single Answer
The set of integers is?
  1. A
    Finite
  2. B
    Countably infinite
  3. C
    Uncountable
  4. D
    Empty
Question 4Single Answer
The set of rational numbers is?
  1. A
    Finite
  2. B
    Countably infinite
  3. C
    Uncountable
  4. D
    Neither countable nor uncountable
Question 5Single Answer
The set of real numbers is?
  1. A
    Finite
  2. B
    Uncountable
  3. C
    Countably infinite
  4. D
    Empty
Question 6Single Answer
Which interval is uncountable?
  1. A
    {1,2,3}
  2. B
    Natural numbers
  3. C
    Integers
  4. D
    [0,1]
Question 7Single Answer
If A βŠ† B and B βŠ† A, then?
  1. A
    A ∩ B = βˆ…
  2. B
    A βˆͺ B = βˆ…
  3. C
    A β‰  B
  4. D
    A = B
Question 8Single Answer
The union A βˆͺ B contains elements that belong to?
  1. A
    A only
  2. B
    A or B or both Correct
  3. C
    Both A and B only
  4. D
    B only
Question 9Single Answer
The intersection A ∩ B consists of elements belonging to?
  1. A
    Both A and B
  2. B
    B but not A
  3. C
    A but not B
  4. D
    Neither A nor B
Question 10Single Answer
The difference A βˆ’ B consists of elements that are?
  1. A
    In A but not in B
  2. B
    In B but not in A
  3. C
    In both A and B
  4. D
    Outside A and B
Question 11Single Answer
The complement of the universal set U is?
  1. A
    U
  2. B
    U Γ— U
  3. C
    {0}
  4. D
    βˆ…
Question 12Single Answer
The complement of the empty set is?
  1. A
    Universal set
  2. B
    {0}
  3. C
    βˆ…
  4. D
    Singleton set
Question 13Single Answer
According to De Morgan's law, (A βˆͺ B)ᢜ equals?
  1. A
    Aᢜ βˆͺ Bᢜ
  2. B
    A ∩ B
  3. C
    Aᢜ ∩ Bᢜ
  4. D
    A βˆͺ B
Question 14Single Answer
According to De Morgan's law, (A ∩ B)ᢜ equals?
  1. A
    Aᢜ βˆͺ Bᢜ
  2. B
    Aᢜ ∩ Bᢜ
  3. C
    A ∩ B
  4. D
    A βˆ’ B
Question 15Single Answer
If A ∩ B = βˆ…, then A and B are called?
  1. A
    Equivalent sets
  2. B
    Infinite sets
  3. C
    Universal sets
  4. D
    Disjoint sets
Question 16Single Answer
If a set contains n elements, its power set contains?
  1. A
    nΒ² elements
  2. B
    2ⁿ elements
  3. C
    2n elements
  4. D
    n! elements
Question 17Single Answer
The power set of the empty set has?
  1. A
    0 elements
  2. B
    2 elements
  3. C
    1 element
  4. D
    Infinitely many elements
Question 18Single Answer
The Cartesian product A Γ— B consists of?
  1. A
    Unordered pairs
  2. B
    Intersections only
  3. C
    Subsets of A only
  4. D
    Ordered pairs
Question 19Single Answer
If |A| = 3 and |B| = 4, then |A Γ— B| is?
  1. A
    7
  2. B
    12
  3. C
    24
  4. D
    64
Question 20Single Answer
The cardinality of A βˆͺ B for finite sets is?
  1. A
    |A| + |B|
  2. B
    |A| + |B| βˆ’ |A ∩ B|
  3. C
    |A| βˆ’ |B|
  4. D
    |A||B|
Question 21Single Answer
The real number system is called a complete ordered field because?
  1. A
    Every subset is finite
  2. B
    Every sequence converges
  3. C
    Every nonempty set bounded above has a least upper bound
  4. D
    Every real number is rational
Question 22Single Answer
The least upper bound of a set is called its?
  1. A
    Infimum
  2. B
    Minimum
  3. C
    Maximum only
  4. D
    Supremum
Question 23Single Answer
The greatest lower bound of a set is called its?
  1. A
    Supremum
  2. B
    Infimum
  3. C
    Maximum
  4. D
    Closure
Question 24Single Answer
The supremum of the open interval (0,1) is?
  1. A
    0
  2. B
    Does not exist
  3. C
    1/2
  4. D
    1
Question 25Single Answer
The infimum of the open interval (0,1) is?
  1. A
    1
  2. B
    0
  3. C
    βˆ’1
  4. D
    Does not exist
Question 26Single Answer
The set {x ∈ R : x < 5} has supremum?
  1. A
    4
  2. B
    5
  3. C
    6
  4. D
    No supremum
Question 27Single Answer
The set {1/n : n ∈ N} has infimum?
  1. A
    1
  2. B
    βˆ’1
  3. C
    ∞
  4. D
    0
Question 28Single Answer
Which property states that for every positive real x, there exists n ∈ N such that n > x?
  1. A
    Completeness property
  2. B
    Archimedean property
  3. C
    Associative property
  4. D
    Distributive property
Question 29Single Answer
The Archimedean property implies that there is no?
  1. A
    Positive integer
  2. B
    Infinitely large real number
  3. C
    Rational number
  4. D
    Irrational number
Question 30Single Answer
Every nonempty finite subset of R has?
  1. A
    Neither maximum nor minimum
  2. B
    Only supremum
  3. C
    A maximum and a minimum
  4. D
    Only infimum
Question 31Single Answer
Every bounded infinite subset of R necessarily has?
  1. A
    No limit point
  2. B
    Exactly one limit point
  3. C
    At least one limit point
  4. D
    Finitely many elements
Question 32Single Answer
The statement in Question 31 is known as the?
  1. A
    Rolle theorem
  2. B
    Cayley-Hamilton theorem
  3. C
    Bolzano-Weierstrass theorem
  4. D
    Heine-Borel theorem
Question 33Single Answer
Every bounded sequence in R has?
  1. A
    A constant value
  2. B
    A divergent subsequence only
  3. C
    A convergent subsequence
  4. D
    A finite number of terms
Question 34Single Answer
If A = {1,2} and B = {2,3}, then A ∩ B is?
  1. A
    {1,2,3}
  2. B
    {2}
  3. C
    {1,3}
  4. D
    βˆ…
Question 35Single Answer
If A = {1,2} and B = {2,3}, then A βˆͺ B is?
  1. A
    {2}
  2. B
    {1,3}
  3. C
    {1,2,3}
  4. D
    βˆ…
Question 36Single Answer
If A βŠ† U, then A βˆͺ Aᢜ equals?
  1. A
    A
  2. B
    U
  3. C
    βˆ…
  4. D
    Aᢜ
Question 37Single Answer
If A βŠ† U, then A ∩ Aᢜ equals?
  1. A
    U
  2. B
    A
  3. C
    βˆ… Correct
  4. D
    Aᢜ
Question 38Single Answer
A βˆͺ A equals?
  1. A
    A
  2. B
    βˆ…
  3. C
    U
  4. D
    Aᢜ
Question 39Single Answer
A ∩ A equals?
  1. A
    A
  2. B
    βˆ…
  3. C
    U
  4. D
    Aᢜ
Question 40Single Answer
The identity A βˆͺ (B ∩ C) = (A βˆͺ B) ∩ (A βˆͺ C) represents the?
  1. A
    Associative law
  2. B
    Distributive law
  3. C
    Complement law
  4. D
    Absorption law
Question 41Single Answer
The identity A βˆͺ (A ∩ B) = A is called the?
  1. A
    Commutative law
  2. B
    De Morgan law
  3. C
    Absorption law
  4. D
    Identity law
Question 42Single Answer
The symmetric difference of A and B contains elements belonging to?
  1. A
    Both A and B
  2. B
    A ∩ B only
  3. C
    Neither A nor B
  4. D
    Exactly one of A and B
Question 43Single Answer
Which set has the same cardinality as N?
  1. A
    R
  2. B
    (0,1)
  3. C
    Power set of R
  4. D
    Z
Question 44Single Answer
Which set is not countable?
  1. A
    N
  2. B
    R Correct
  3. C
    Q
  4. D
    Z
Question 45Single Answer
Cantor's diagonal argument proves that?
  1. A
    Q is finite
  2. B
    Z is uncountable
  3. C
    R is uncountable
  4. D
    N is finite
Question 46Single Answer
The set of all finite binary strings is?
  1. A
    Uncountable
  2. B
    Empty
  3. C
    Countable
  4. D
    Nonmeasurable
Question 47Single Answer
Every subset of a countable set is?
  1. A
    At most countable
  2. B
    Necessarily uncountable
  3. C
    Necessarily finite
  4. D
    Infinite only
Question 48Single Answer
A maximum of a set, if it exists, must be?
  1. A
    An element of the set
  2. B
    Outside the set
  3. C
    Equal to zero
  4. D
    Negative
Question 49Single Answer
A supremum of a set?
  1. A
    Must belong to the set
  2. B
    Need not belong to the set
  3. C
    Is always zero
  4. D
    Cannot equal its maximum
Question 50Single Answer
For A = (2,5], the infimum and supremum are respectively?
  1. A
    5 and 2
  2. B
    2 and 5
  3. C
    3 and 4
  4. D
    2 and 4
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