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

The group of a constant line is

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

Function is a special type of

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

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

• Domain A
• Range B
• Ordered paris C
• Relation D

Let A and B be two non-empty sets, then any subset of the cartesian product AxB is called a

• function A
• domain B
• range C
• binary relation D

The set of cartesian product A x B consists of

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

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

ax+by+c = 0 , represents a

• Circle A
• Parabola B
• Straight line C
• Quadratic circle 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 function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  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 diagrams represent bijective function?

• 
  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 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

The identity function is

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

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

• surjective A
• injuctive B
• bijective C
• into 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 extraction of a cube root of a given number is a

• Binary operation A
• Unary operation B
• group C
• multiplicative inverse 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
• on to function B
• None of these C
• Surjective D

Extraction of square root of a given number is a

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

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

• multiplication A
• addition B
• subtraction C
• division 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

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into 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 net of cartesian product AxB consists of

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

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