ECAT Pre General Science Mathematics Chapter 4 Functions & Groups Online Test

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

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

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  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 net of cartesian product AxB consists of

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

The graph of a constant line is

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

Negation of a given number is an example of

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

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

Function is a special type of

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

N is closed with respect to ordinary

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D

• injuctive as well as surjective A
• both onto and into B
• one - one and into C
• only (1 - 1) 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

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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

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

There will be no inverse if the function is

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

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

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 identity function is

• surjective A
• injuctive B
• bijective C
• into 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