Mathematics ECAT Pre Engineering Chapter 4 Functions and Groups Online Test

Which of the following diagrams represent into function?

A function f from A to B can be written as

The group of a constant line is

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

A semi-group having an identity is called a

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

The graph of a constant line is

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

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

• multiplication A
• addition B
• subtraction C
• division 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

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

Addition is not operation on

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

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
• sets D

Negation of a given number is an example of

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

Which of the following represent injuctive function

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

Extraction of square root of a given number is a

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

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

the function y = mx+c is, called linear function, because

• it has only two variables A
• it has one varible B
• its graphs is straight line C
• its graphs is circle 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

ax+by+c = 0, represent 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

Which of the following notation defines AxB

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