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

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

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

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

• 
  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

The net of cartesian product AxB consists of

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

Negation of a given number is an example of

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

The inverse of a line is

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

The identity function is

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

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

N is closed with respect to ordinary

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The group of a constant line is

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

There will be no inverse if the function is

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0 , represents a

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

The function denoted by 1/f called the

• Reciprocal function A
• Inverse function B
• Constant function C
• Reverse function D

Extraction of square root of a given number is a

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

Addition is not operation on

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

A function from A to B is called on-to function, if its range is

• A A
• B B
• A and B C
• neither A nor B D

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

Function is a special type of

• relation A
• ordered pairs B
• Cartesian product C
• Set D

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  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