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

• A A
• A' B
• U C
• U' D

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

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

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

For any set B, BUB' is

• Is set B A
• Set B' B
• Universal set C
• None of these 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

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

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

For any set X, X∪X is

• X A
• X' B
• Φ C
• Universal Set D

The set which has no proper subset is

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

The set {{a,b}} is

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

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse 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 A
• A' B
• U C
• A A' D

• 
  A
• 
  B
• 
  C
• 
  D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 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

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ 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

• 
  A
• 
  B
• 
  C
• 
  D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

• Conclusion A
• Implication B
• Antecedent C
• Hypothesis 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

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

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D