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

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 which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these 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 statement that a group can have more than one identity elements is

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

The negation of given number is a

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

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

For any set B,B∪B' is

• Is set B A
• Set B' B
• Universal set C

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

• 
  A
• 
  B
• 
  C
• 
  D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

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

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

{1, 2, 3} is _____

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

• A A
• B B
• U C
• None of these D

The set { {a,b} } is

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• None of these D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

A function whose range is just one elements is called

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

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set 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 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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

Every set is an improper subset of

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