Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test

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
• 
  B
• 
  C
• 
  D

The set { {a,b} } is

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

• 
  A
• 
  B
• 
  C
• 
  D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

A function whose range is just one element is called

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

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

• Relation in B A
• Range B
• Domain C
• Relation In A D

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

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

• 
  A
• A B
• A' C
• U D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

{x : xε Z and x < 1} is

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

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

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

• 1 A
• 2 B
• 3 C
• 4 D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

A = B if

• 
  A
• 
  B
• 
  C
• A is equivalent to B 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

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

The number of subset of {0} is

• 1 A
• 2 B
• 3 C
• None 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

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

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

• {-4} A
• {0} 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

A statement which is either true or false is called

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

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B 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

Which symbolic notation represent unary operation ?

• - A
• ∨ B
• ∧ C
• ⇔ D

If p and q are two statements then their biconditional 'p if q' is denoted by

• 
  A
• 
  B
• 
  C
• 
  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

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