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

• A A
• A' B
• U C
• None of these D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

For any set B,B∪B' is

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

Z is a group under

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

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

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

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

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

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

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

• A = B A
• B = C B
• A = C 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

Group of none-singular matrices under multiplication is

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

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

Given X, Y are many 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

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

A statement which is either true or false is called

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

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers 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

Z is a

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

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D

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

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

• 
  A
• 
  B
• 
  C
• 
  D