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

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 ordered pair of a functions from A into B are equal, then it is called.

• Surjective A
• Injuctive B
• Bijective C
• Onto 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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

• Natural numbers A
• Even numbers B
• odd numbers C
• set of integers 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 bijective function?

• 
  A
• 
  B
• 
  C
• 
  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

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

If A is non-empty set, any subset of AxA is called a relation in a

• A A
• B B
• D C
• r 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

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

The function denoted by 1/f called the

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

The set of cartesian product A x B 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

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

• surjective A
• injuctive B
• bijective 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

Identity element, if it exists, is

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

N is closed with respect to ordinary

• addition A
• multiplication B
• addition and multiplication C
• division 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 extraction of a cube root of a given number is a

• Binary operation A
• Unary operation B
• group C
• multiplicative inverse D

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

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

The identity function is

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

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle D

The inverse of a line is

• inverse A
• Line B
• quadratic C
• 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

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