ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 2 (Set Function and Groups)

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

• 
  A
• 
  B
• 
  C
• 
  D

The set {1,-1, i, -i} form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

• Evert element of A is in B A
• Every element of B is in A B
• Every element of A is in B' C
• Every element of A is in A D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

• A finite set A
• An infinite set B
• An empty set C
• None of these D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

The set {Z\ {0} } is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these D

The set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

• 
  A
• 
  B
• 
  C
• 
  D

The set of all positive even integers is

• Not a group A
• A group w.r.t. subtraction B
• A group w.r.t. division C
• A group w.r.t. multiplication D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D