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

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 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

• 
  A
• 
  B
• 
  C
• 
  D

If A = {2m/m³= 8 , m€ Z} then A =

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

{x|x∈R∧x≠x} is a

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

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

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• None of these D

• A A
• B B
• U C
• None of these D

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

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

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

A set having only one element is called

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

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers 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 set (Z, +) forms a group

• Forms a group w.r.t addition A
• Forms a group w.r.t multiplication B
• Non commutative group w.r.t multiplication C
• Doesn't form a group D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

Φset is the ______ of all sets?

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

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

• 
  A
• 
  B
• 
  C
• 
  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

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

The logic in which every statement is regarded as true or false and no other possibility is called

• Aristotelian login A
• Inductive logic B
• Non-Aristotelian logic C
• None of these 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 Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

The set {x|x∈N∧x-4=0} in tabular form is

• {-4} A
• {0} B
• {} C
• None of these D