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

• 
  A
• 
  B
• 
  C
• 
  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 graph of a constant line is

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

The inverse of a line is

• inverse A
• Line B
• quadratic C
• Circle 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

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

N is closed with respect to ordinary

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

Extraction of square root of a given number is a

• unary operation A
• binary operation B
• group C
• inverse function 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 A x B called a

• Function A
• Domain B
• Range C
• Binary relation 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

The group of a constant line is

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

Which of the following diagrams represent into function?

• 
  A
• 
  B
• 
  C
• 
  D

Function is a special type of

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

There will be no inverse if the function is

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

The set of cartesian product A x B consists of

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

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

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

The identity function is

• surjective A
• injuctive B
• bijective C
• into 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

Function is a special type of

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

ax+by+c = 0, represent a

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

Addition is not operation on

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