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

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

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

{0} is a

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

• 4 A
• 3 B
• 2 C
• 1 D

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

The set {1,-1,i,-i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

{x|x∈R∧x≠x} is a

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

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

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these D

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

• Improper subset of B A
• Super set of B B
• Proper subset of B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• True A
• False B
• Known C
• Unknown 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

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

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

The extraction of cube root of a given number is a

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

The set {{a,b}} is

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

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

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

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

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection 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

Under multiplication, solution set of is

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

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

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

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

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

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

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