ECAT Pre Engineering MCQ Test With Answer for Chapter 4 Mathematics

Which of the following is surjective

• 
  A
• 
  B
• 
  C
• 
  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

Negation of a given number is an example of

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

Extraction of square root of a given number is a

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

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

The group 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 first elements of the ordered pairs forming the relation is called its

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

There will be no inverse if the function is

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

A function f from A to B can be written as

• 
  A
• 
  B
• 
  C
• 
  D

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

A semi-group having an identity is called a

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

Function is a special type of

• relation A
• ordered pairs B
• Cartesian product C
• Set 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 set of cartesian product A x B consists of

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

Identity element, if it exists, is

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

Which of the following represent injuctive function

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a constant line is

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

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

Function is a special type of

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

N is closed with respect to ordinary

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

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

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

• similar images A
• distinct images B
• similar range C
• option a and c 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 range of a function f is B, then the 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