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

The graph of a constant line is

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

The function denoted by 1/f called the

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

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

The set of cartesian product A x B consists of

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

A semi-group having an identity is called a

• groupoid A
• non-commutative B
• abelian C
• monoid 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 inverse of a line is

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

N is closed with respect to ordinary

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

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

• Domain A
• range B
• function C
• relation D

Extraction of square root of a given number is a

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

Function is a special type of

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0 , represents a

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

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

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

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 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

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

• A A
• B B
• D C
• r 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