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

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 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

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

• A A
• B B
• ∅ C
• r D

The inverse of a line is

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

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

Addition is not operation on

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

The extraction of a cube root of a given number is a

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

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

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

N is closed with respect to ordinary

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

The graph of a constant line is

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

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

Identity element, if it exists, is

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

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  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

A semi-group having an identity is called a

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

Function is a special type of

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

The identity function is

• surjective A
• injuctive B
• bijective C
• into 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 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

Which of the following notation defines AxB

• 
  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

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