ECAT Mathematics Chapter 4 MCQ Test With Answer for Mathematics chapter 4 (Functions and Groups)

(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

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

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

A function∫ will have an inverse function if and only if it is a

• onto function A
• into function B
• Constant C
• one-one function D

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

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  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

Negation of a given number is an example of

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

ax+by+c = 0, represent a

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

Function is a special type of

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

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

If the number of elements in set A is n, and in set B is m, then the number of elements in AxB will

• n^m A
• mⁿ B
• m x n C
• m + n D

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  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

Function is a special type of

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

• 
  A
• 
  B
• 
  C
• 
  D

the function y = mx+c is, called linear function, because

• it has only two variables A
• it has one varible B
• its graphs is straight line C
• its graphs is circle D

The set of cartesian product A x B consists of

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

The group of a constant line is

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

The graph of a constant line is

• vertical line A
• parabola B
• circle C
• horizontal line D

The net of cartesian product AxB consists of

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

The inverse of a line is

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

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

The identity function is

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

There will be no inverse if the function is

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