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

The net of cartesian product AxB consists of

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

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

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

• surjective A
• injuctive B
• bijective C
• on to 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

• similar images A
• distinct images B
• similar range C
• option a and c D

ax+by+c = 0, represent a

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

Function is a special type of

• relation A
• ordered pairs B
• cartesian product C
• sets D

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

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

ax+by+c = 0 , represents a

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

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

• domain A
• range B
• ordered paris C
• relation 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

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into D

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

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

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

The group of a constant line is

• Vertical line A
• Parabola B
• Circle C
• Horizontal line D

arb mean

• a is related to b A
• b is related to a B
• a is reciprocal of b C
• a is not related to b D

The identity function is

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

The inverse of a line is

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

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

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

If no two elements of ordred pair of a function from A into B are equal, then it is called

• surjective A
• injuctive B
• bijective C
• on to D

Negation of a given number is an example of

• Binary operation A
• group B
• unary operation C
• function D

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  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 semi-group having an identity is called a

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

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D