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

For any set B,B∪B' is

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

• A A
• B B
• A' C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

• Natural numbers A
• Whole numbers B
• Integers C
• Rational 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 natural is a semi group w.r.t

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

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

• 1 A
• 12 B
• 5 C
• 29 D

The set of months in a year beginning with S.

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

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If A = {2m/m³= 8 , m€ Z} then A =

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

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

• A A
• ∅ B
• Ac C
• U 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

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

• {-4} A
• {0} B
• {} C
• None of these D

The set {{a,b}} is

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

• 
  A
• 
  B
• 
  C
• None of these D

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

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

The graph of a quadratic function is

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

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

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

• a-b=ab A
• ab=a B
• a+b=ab C
• 
  D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist 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

• 
  A
• A B
• A' C
• U D

The set of natural numbers is a subset of

• {1, 2, 3, .... 100} A
• The set of whole numbers B
• {2, 4, 6, 8, .....} C
• None of these D

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

• 1 A
• 2 B
• 3 C
• 4 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

• A = C A
• A = B B
• B = C 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