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

• 
  A
• A B
• A' C
• U D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

• 
  A
• 
  B
• 
  C
• 
  D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

• 
  A
• 
  B
• 
  C
• 
  D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

• 
  A
• 
  B
• 
  C
• 
  D

The set {{a,b}} is

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

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

• A A
• ∅ B
• Ac C
• U D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers 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

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 complex numbers forms a group under the binary operation of

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

Z is a group under

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a linear function is

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

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

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

• A A
• B B
• U C
• None of these 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 set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

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

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

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

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

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

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

• Conclusion A
• Implication B
• Antecedent C
• Hypothesis D

Group of none-singular matrices under multiplication is

• None-Abelian group A
• Semi group B
• Abelian group C
• None of these D