ECAT Pre Engineering MCQ Test With Answer for Chapter 4 Mathematics

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

The identity function is

• surjective A
• injuctive B
• bijective C
• into 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

(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 is surjective

• 
  A
• 
  B
• 
  C
• 
  D

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

• multiplication A
• addition B
• subtraction 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

Addition is not operation on

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

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 function denoted by 1/f called the

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

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

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

• 
  A
• 
  B
• 
  C
• 
  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 inverse of a line is

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

The set of cartesian product A x B consists of

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

The group of a constant line is

• Vertical line A
• Parabola B
• Circle C
• Horizontal line 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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

Extraction of square root of a given number is a

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

• 
  A
• 
  B
• 
  C
• 
  D

ax+by+c = 0 , represents a

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

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

There will be no inverse if the function is

• one -to - one A
• One to many B
• onto C
• into D

Function is a special type of

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

ax+by+c = 0, represent a

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

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