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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

Every set is an improper subset of

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

• Biconditional A
• Implication B
• Antecedent 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

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

If E = { } , then P(E)

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

Φset is the ______ of all sets?

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

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

Power set of difference set N-W is

• Empty set A
• Infinite set B
• Singleton set C
• {0,∅} D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

• A≠ C A
• B = C B
• A = B C
• A≠ B D

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

• 1 A
• -1 B
• 0 C
• Does not exist 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

Which of the following statement is true?

• A set is a collection of non-empty object A
• A set is a collection of only numbers B
• a set is any collection of things C
• a set is well-defined collection of objects D

A set having only one element is called

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