ECAT Mathematics Chapter 2 MCQ Test With Answer for Mathematics chapter 2 (Set Function and Groups)

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

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

• Natural numbers A
• Whole numbers B
• Integers C
• Rational numbers D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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 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

Power set of X i.e P(X) _______ under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

• 
  A
• 
  B
• 
  C
• 
  D

The set {1,-1, i, -i} form a group under

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

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  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

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

The set of complex numbers forms a group under the binary operation of

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

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

• A A
• B B
• A' C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The function f{(x, y) | y = ax²+ bx + c} is

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

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

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

If we have a statement "if p then q" then q is called

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

Given X.Y are any 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 multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• A A
• A' B
• U C
• None of these D

A function in which the second elements of the order pairs are distinct is called

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