ECAT Pre General Science Chapter 4 MCQ Test With Answer for Mathematics chapter 4 (Functions & Groups)

Identity element, if it exists, is

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

The identity function is

• surjective A
• injuctive B
• bijective C
• into 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

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

• 
  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 semi-group having an identity is called a

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

The graph of a constant line is

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

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

• Domain A
• range B
• function C
• 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

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

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

Function is a special type of

• relation A
• ordered pairs B
• cartesian product C
• sets 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 set of first elements of the ordered pairs forming the relation is called its

• domain A
• range B
• ordered paris C
• relation D

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

• Binary operation A
• Unary operation B
• group C
• multiplicative inverse 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 inverse of a line is

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

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

Addition is not operation on

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

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

• surjective A
• injuctive B
• bijective C
• into 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 A x B called a

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

The net of cartesian product AxB consists of

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

N is closed with respect to ordinary

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

ax+by+c = 0 , represents a

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