ECAT Mathematics Chapter 2 Set, Functions and Groups

Every set is an improper subset of

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

• 
  A
• 
  B
• 
  C
• 
  D

• 1/x A
• -x B
• 2x C
• 0.5 x D

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

• 1 A
• 2 B
• 3 C
• 4 D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

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

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

The set of integer is

• Finite group A
• A group w.r.t addition B
• A group w.r.t multiplication C
• Not a group D

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

• 8 A
• 4 B
• 12 C
• 16 D

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

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

The set of natural is a semi group w.r.t

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

The multiplicative inverse of x such that x = 0 is

• -x A
• Does not exist B
• 1/x C
• ±1 D

Φset is the ______ of all sets?

• Subset A
• Union B
• Universal C
• Intersection D

• Evert element of A is in B A
• Every element of B is in A B
• Every element of A is in B' C
• Every element of A is in A D

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

For any set B,B∪B' is

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

• 
  A
• 
  B
• 
  C
• 
  D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

Multiplicative inverse of 0 is

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

• A = B A
• B = C B
• A = C 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

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

• square root function A
• identity function B
• linear function C
• quadratic function D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

The set R is ______ w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

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 of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) 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