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

Z is a group under

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

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} 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 of complex numbers forms a group under the binary operation of

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

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

If A and B are two sets then any subset R of B x A is called

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

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

• A A
• A' B
• U C
• None of these D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

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

• Function on B A
• Range B
• Domain C
• A into B D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

The set R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

• 
  A
• 
  B
• 
  C
• 
  D

The function f{(x, y) | y = ax²+ bx + c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  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 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

{0} is a

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

• 
  A
• 
  B
• 
  C
• 
  D

Given X, Y are many 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

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

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

The function {f(x,y)|y = ax2 +bx +c} is

• One-one function A
• Constant function B
• Onto function C
• Quadratic function D

• 
  A
• 
  B
• 
  C
• 
  D