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Latest Punjab Lecturer Mathematics Exam Question (Objective Questions), MCQ in English
Subjects : Mathematics
Question Bank Punjab Lecturer Mathematics Exam Paper 2 - English
Mathematics
Q 1 :
Which of the following sets is finite?
A.Set of prime numbers less than 50
B.Set of integers
C.Set of natural numbers
D.Set of rational numbers
Q 2 :
A set is countable if it is?
A.Finite only
B.Empty only
C.Uncountable only
D.Finite or countably infinite
Q 3 :
The set of integers is?
A.Finite
B.Countably infinite
C.Uncountable
D.Empty
Q 4 :
The set of rational numbers is?
A.Finite
B.Countably infinite
C.Uncountable
D.Neither countable nor uncountable
Q 5 :
The set of real numbers is?
A.Finite
B.Uncountable
C.Countably infinite
D.Empty
Q 6 :
Which interval is uncountable?
A.{1,2,3}
B.Natural numbers
C.Integers
D.[0,1]
Q 7 :
If A ⊆ B and B ⊆ A, then?
A.A ∩ B = ∅
B.A ∪ B = ∅
C.A ≠ B
D.A = B
Q 8 :
The union A ∪ B contains elements that belong to?
A.A only
B.A or B or both
Correct
C.Both A and B only
D.B only
Q 9 :
The intersection A ∩ B consists of elements belonging to?
A.Both A and B
B.B but not A
C.A but not B
D.Neither A nor B
Q 10 :
The difference A − B consists of elements that are?
A.In A but not in B
B.In B but not in A
C.In both A and B
D.Outside A and B
Q 11 :
The complement of the universal set U is?
A.U
B.U × U
C.{0}
D.∅
Q 12 :
The complement of the empty set is?
A.Universal set
B.{0}
C.∅
D.Singleton set
Q 13 :
According to De Morgan's law, (A ∪ B)ᶜ equals?
A.Aᶜ ∪ Bᶜ
B.A ∩ B
C.Aᶜ ∩ Bᶜ
D.A ∪ B
Q 14 :
According to De Morgan's law, (A ∩ B)ᶜ equals?
A.Aᶜ ∪ Bᶜ
B.Aᶜ ∩ Bᶜ
C.A ∩ B
D.A − B
Q 15 :
If A ∩ B = ∅, then A and B are called?
A.Equivalent sets
B.Infinite sets
C.Universal sets
D.Disjoint sets
Q 16 :
If a set contains n elements, its power set contains?
A.n² elements
B.2ⁿ elements
C.2n elements
D.n! elements
Q 17 :
The power set of the empty set has?
A.0 elements
B.2 elements
C.1 element
D.Infinitely many elements
Q 18 :
The Cartesian product A × B consists of?
A.Unordered pairs
B.Intersections only
C.Subsets of A only
D.Ordered pairs
Q 19 :
If |A| = 3 and |B| = 4, then |A × B| is?
A.7
B.12
C.24
D.64
Q 20 :
The cardinality of A ∪ B for finite sets is?
A.|A| + |B|
B.|A| + |B| − |A ∩ B|
C.|A| − |B|
D.|A||B|
Q 21 :
The real number system is called a complete ordered field because?
A.Every subset is finite
B.Every sequence converges
C.Every nonempty set bounded above has a least upper bound
D.Every real number is rational
Q 22 :
The least upper bound of a set is called its?
A.Infimum
B.Minimum
C.Maximum only
D.Supremum
Q 23 :
The greatest lower bound of a set is called its?
A.Supremum
B.Infimum
C.Maximum
D.Closure
Q 24 :
The supremum of the open interval (0,1) is?
A.0
B.Does not exist
C.1/2
D.1
Q 25 :
The infimum of the open interval (0,1) is?
A.1
B.0
C.−1
D.Does not exist
Q 26 :
The set {x ∈ R : x < 5} has supremum?
A.4
B.5
C.6
D.No supremum
Q 27 :
The set {1/n : n ∈ N} has infimum?
A.1
B.−1
C.∞
D.0
Q 28 :
Which property states that for every positive real x, there exists n ∈ N such that n > x?
A.Completeness property
B.Archimedean property
C.Associative property
D.Distributive property
Q 29 :
The Archimedean property implies that there is no?
A.Positive integer
B.Infinitely large real number
C.Rational number
D.Irrational number
Q 30 :
Every nonempty finite subset of R has?
A.Neither maximum nor minimum
B.Only supremum
C.A maximum and a minimum
D.Only infimum
Q 31 :
Every bounded infinite subset of R necessarily has?
A.No limit point
B.Exactly one limit point
C.At least one limit point
D.Finitely many elements
Q 32 :
The statement in Question 31 is known as the?
A.Rolle theorem
B.Cayley-Hamilton theorem
C.Bolzano-Weierstrass theorem
D.Heine-Borel theorem
Q 33 :
Every bounded sequence in R has?
A.A constant value
B.A divergent subsequence only
C.A convergent subsequence
D.A finite number of terms
Q 34 :
If A = {1,2} and B = {2,3}, then A ∩ B is?
A.{1,2,3}
B.{2}
C.{1,3}
D.∅
Q 35 :
If A = {1,2} and B = {2,3}, then A ∪ B is?
A.{2}
B.{1,3}
C.{1,2,3}
D.∅
Q 36 :
If A ⊆ U, then A ∪ Aᶜ equals?
A.A
B.U
C.∅
D.Aᶜ
Q 37 :
If A ⊆ U, then A ∩ Aᶜ equals?
A.U
B.A
C.∅
Correct
D.Aᶜ
Q 38 :
A ∪ A equals?
A.A
B.∅
C.U
D.Aᶜ
Q 39 :
A ∩ A equals?
A.A
B.∅
C.U
D.Aᶜ
Q 40 :
The identity A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) represents the?
A.Associative law
B.Distributive law
C.Complement law
D.Absorption law
Q 41 :
The identity A ∪ (A ∩ B) = A is called the?
A.Commutative law
B.De Morgan law
C.Absorption law
D.Identity law
Q 42 :
The symmetric difference of A and B contains elements belonging to?
A.Both A and B
B.A ∩ B only
C.Neither A nor B
D.Exactly one of A and B
Q 43 :
Which set has the same cardinality as N?
A.R
B.(0,1)
C.Power set of R
D.Z
Q 44 :
Which set is not countable?
A.N
B.R
Correct
C.Q
D.Z
Q 45 :
Cantor's diagonal argument proves that?
A.Q is finite
B.Z is uncountable
C.R is uncountable
D.N is finite
Q 46 :
The set of all finite binary strings is?
A.Uncountable
B.Empty
C.Countable
D.Nonmeasurable
Q 47 :
Every subset of a countable set is?
A.At most countable
B.Necessarily uncountable
C.Necessarily finite
D.Infinite only
Q 48 :
A maximum of a set, if it exists, must be?
A.An element of the set
B.Outside the set
C.Equal to zero
D.Negative
Q 49 :
A supremum of a set?
A.Must belong to the set
B.Need not belong to the set
C.Is always zero
D.Cannot equal its maximum
Q 50 :
For A = (2,5], the infimum and supremum are respectively?
A.5 and 2
B.2 and 5
C.3 and 4
D.2 and 4
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