ECAT Pre Engineering MCQ Test With Answer for Chapter 4 Mathematics

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

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

Extraction of square root of a given number is a

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

Addition is not operation on

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

• 
  A
• 
  B
• 
  C
• 
  D

The inverse of a line is

• inverse A
• Line B
• quadratic C
• Circle 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 identity function is

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  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

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

• A A
• B B
• ∅ C
• r 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

Which of the following notation defines AxB

• 
  A
• 
  B
• 
  C
• 
  D

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

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  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
• 
  B
• 
  C
• 
  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 semi-group having an identity is called a

• groupoid A
• non-commutative B
• abelian C
• monoid 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 extraction of a cube root of a given number is a

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

ax+by+c = 0 , represents a

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

Identity element, if it exists, is

• inverse A
• unique B
• commutative C
• associative 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

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 is surjective

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0, represent a

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

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