ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 4 (Functions and Groups)

A relation A into B in which Domain is not equal to A, is called

• into function A
• onto function B
• None of these C
• surjective D

If no two elements of ordered pairs of a function from A onto are the same, then it is called.

• Surjective A
• Injuctive B
• Bijective C
• on to D

If no two elements of ordered pair of a functions from A into B are equal, then it is called.

• Surjective A
• Injuctive B
• Bijective C
• Onto D

Addition is not operation on

• Natural numbers A
• Even numbers B
• odd numbers C
• set of integers D

If A is non-empty set, any subset of AxA is called a relation in a

• A A
• B B
• D C
• r D

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

The set of second elements of the ordered pairs forming a relation called a

• Domain A
• Range B
• Function C
• Relation D

If A is non-empty set, any subset of A x A is called a relation in

• A A
• B B
• ∅ C
• r D

A relation a into B in which Domain is not equal to a, is called.

• Into function A
• on to function B
• None of these C
• Surjective D

The inverse of a line is

• inverse A
• Line B
• quadratic C
• Circle D

Let A and B be two non-empty sets, then any subset of the cartesian product AxB is called a

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

The set {E,0}, is closed under (ordinary)

• multiplication A
• addition B
• subtraction C
• division D

The set of second elements of the ordered pairs forming a relation is called a

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

• bijective function A
• into function B
• onto function C
• surjective D

The extraction of a cube root of a given number is a

• Binary operation A
• Unary operation B
• group C
• multiplicative inverse D

N is closed with respect to ordinary

• addition A
• multiplication B
• addition and multiplication C
• division D

(a,b) = (c,d) if and only if

• a=b and c =d A
• a = d and b = c B
• a = c and b = d C
• a - b = c -d D

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle D

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

If range of a function f is B, then the function is

• surjective A
• injuctive B
• bijective C
• into D

A semi-group having an identity is called a

• groupoid A
• non-commutative B
• abelian C
• monoid D

Extraction of square root of a given number is a

• unary operation A
• binary operation B
• group C
• inverse function D

ax+by+c = 0 , represents a

• Circle A
• Parabola B
• Straight line C
• Quadratic circle D

The set of cartesian product A x B consists of

• Domain A
• Range B
• Binary relation C
• Ordered pair D

The net of cartesian product AxB consists of

• domain A
• range B
• binary relation C
• ordered pair D

The set of first elements of the ordered pairs forming the relation is called is

• Domain A
• Range B
• Ordered paris C
• Relation D

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

The identity function is

• surjective A
• injuctive B
• bijective C
• into D

Let A and B be two non-empty sets, then any subset of the cartesian product A x B called a

• Function A
• Domain B
• Range C
• Binary relation D

Such a function which is (1 -1) is called

• surjective A
• injuctive B
• bijective C
• into D