ECAT Pre Engineering MCQ Test With Answer for Chapter 4 Mathematics

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

There will be no inverse if the function is

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

The set of cartesian product A x B consists of

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

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

(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

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

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

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

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

Function is a special type of

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

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

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

• surjective A
• injuctive B
• bijective C
• into 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

The function denoted by 1/f called the

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following diagrams represent bijective function?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A semi-group having an identity is called a

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