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

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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

The set {-1,1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

The contra positive of p → q is

• q → p A
• ~q→~q B
• ~p→~q C
• None of these D

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

The set (Z,+) forms a group

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

• 
  A
• 
  B
• 
  C
• 
  D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

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

• Addition A
• none of these B
• Division C
• Subtraction D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

The set {-1, 1} is closed under the binary operation of

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

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

• A A
• A' B
• U C
• A A' D

• A A
• A' B
• U C
• None 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

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 R is ........w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group 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∩Bc)c= -------------------------

• Ac∪Bc A
• Ac∪B B
• Ac∩B C
• None of these D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

Z is a group under

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

• 
  A
• 
  B
• 
  C
• None of these D

• A A
• B B
• U C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• U' D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• B B
• A'B' C
• B'A D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D