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

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

Negation of a given number is an example of

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

The set {E,0}, is closed under (ordinary)

• multiplication A
• addition B
• subtraction C
• division 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

Extraction of square root of a given number is a

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

ax+by+c = 0, represent a

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

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into 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 set of first elements of the ordered pairs forming the relation is called its

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

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

If range of a function f is B, then the function is

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

• 
  A
• 
  B
• 
  C
• 
  D

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

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

• surjective A
• injuctive B
• bijective C
• into 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

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

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 ordered pairs of a function from A onto are the same, then it is called.

• Surjective A
• Injuctive B
• Bijective C
• on to D

ax+by+c = 0 , represents a

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  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