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

A semi-group having an identity is called a

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

The group of a constant line is

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

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

The inverse of a line is

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The set of cartesian product A x B consists of

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

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

• Function A
• Domain B
• Range C
• Binary 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

Extraction of square root of a given number is a

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative D

A function f from A to B can be written as

• 
  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

Negation of a given number is an example of

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

There will be no inverse if the function is

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

The graph of a constant line is

• vertical line A
• parabola B
• circle C
• horizontal line 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 notation defines AxB

• 
  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

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

The function denoted by 1/f called the

• Reciprocal function A
• Inverse function B
• Constant function C
• Reverse function D

Function is a special type of

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

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

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