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

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

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

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

If A=B, then

• A⊂B and B⊂A A
• A⊆B and B⊈A B
• A⊆B and B⊆A C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

• 3 A
• 1 B
• 2 C
• 4 D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

• A onto B A
• both a & c B
• A into B C
• none of these 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 A
• B = C B
• A = C C
• None of these D

The number of proper subset of A ={a.b.c.d} is

• 3 A
• 6 B
• 8 C
• 15 D

• 
  A
• 
  B
• 
  C
• none of these D

To each element of a group there corresponds ............. inverse element

• Two A
• One B
• No C
• Three D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

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

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

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D