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

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

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

The group of a constant line is

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

A function f from A to B can be written as

• 
  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

Function is a special type of

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

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

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  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

The graph of a constant line is

• vertical line A
• parabola B
• circle C
• horizontal line 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 set of second elements of the ordered pairs forming a relation is called a

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

• 
  A
• 
  B
• 
  C
• 
  D

A semi-group having an identity is called a

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

The set of cartesian product A x B consists of

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

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 net of cartesian product AxB consists of

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

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  D

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

• 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

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

• surjective A
• injuctive B
• bijective C
• into 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

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

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

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