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

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

• A A
• B B
• D C
• r 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

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

(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 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

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle 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 identity function is

• 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

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

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

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a constant line is

• vertical line A
• parabola B
• circle C
• horizontal line D

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

A semi-group having an identity is called a

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

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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  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

Identity element, if it exists, is

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

Negation of a given number is an example of

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

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

The function denoted by 1/f called the

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

The net of cartesian product AxB consists of

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

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

ax+by+c = 0 , represents a

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