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

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

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

The set of cartesian product A x B consists of

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

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

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

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

Addition is not operation on

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

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  D

N is closed with respect to ordinary

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

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

A semi-group having an identity is called a

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

Which of the following represent injuctive function

• 
  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

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 group of a constant line is

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

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

• surjective A
• injuctive B
• bijective C
• into 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 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

Function is a special type of

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

There will be no inverse if the function is

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

ax+by+c = 0 , represents a

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

Function is a special type of

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

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 identity function is

• surjective A
• injuctive B
• bijective 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