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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

The set X is

• Proper Subset of X A
• Not A subset of X B
• Improper Subset of X C
• None of these D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ 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
• -1-a C
• None of these D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false 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

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

Φ set is the _______ of all sets

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

{x|x∈R∧x≠x} is a

• Infinite set A
• Null set B
• Finite set C
• None of these 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

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times 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

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  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

• A A
• B B
• A'B' C
• B'A D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

• A onto B A
• both a & c B
• A into B C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

If A and B are two sets then any subset R of B x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

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

The set of rational numbers is subset of

• The set of natural numbers A
• The set of real numbers B
• The set of integers C
• The set of whole numbers D

If A = {2m/m³= 8 , m€ Z} then A =

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

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D