ECAT Mathematics Chapter 4 Functions & Groups Online Test With Answers

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ECAT Mathematics Chapter 4 Functions & Groups Online Test

Sr. # Questions Answers Choice
1 A semi-group having an identity is called a groupoid non-commutative abelian monoid
2 Identity element, if it exists, is inverse unique commutative associative
3 The set {E,0}, is closed under (ordinary) multiplication addition subtraction division
4 Addition is not operation on Natural numbers Even numbers odd numbers set of integers
5 Extraction of square root of a given number is a unary operation binary operation group inverse function
6 The extraction of a cube root of a given number is a Binary operation Unary operation group multiplicative inverse
7 Negation of a given number is an example of Binary operation group unary operation function
8 N is closed with respect to ordinary addition multiplication addition and multiplication division
9 There will be no inverse if the function is one -to - one One to many onto into
10 The inverse of a line is inverse Line quadratic Circle
11 The function denoted by 1/f called the Reciprocal function Inverse function Constant function Reverse function
12 A function∫ will have an inverse function if and only if it is a onto function into function Constant one-one function
13 ax+by+c = 0 , represents a Circle Parabola Straight line Quadratic circle
14 The group of a constant line is Vertical line Parabola Circle Horizontal line
15 A relation a into B in which Domain is not equal to a, is called. Into function on to function None of these Surjective
16 If no two elements of ordered pairs of a function from A onto are the same, then it is called. Surjective Injuctive Bijective on to
17 If no two elements of ordered pair of a functions from A into B are equal, then it is called. Surjective Injuctive Bijective Onto
18 Function is a special type of relation ordered pairs Cartesian product Set
19 (a,b) = (c,d) if and only if a=b and c =d a = d and b = c a = c and b = d a - b = c -d
20 The set of second elements of the ordered pairs forming a relation called a Domain Range Function Relation
21 If A is non-empty set, any subset of A x A is called a relation in A B ∅ r
22 The set of first elements of the ordered pairs forming the relation is called is Domain Range Ordered paris Relation
23 The set of cartesian product A x B consists of Domain Range Binary relation Ordered pair
24 Let A and B be two non-empty sets, then any subset of the cartesian product A x B called a Function Domain Range Binary relation
25 The graph of a constant line is vertical line parabola circle horizontal line
26 ax+by+c = 0, represent a circle parabola straight line quadratic circle
27 the function y = mx+c is, called linear function, because it has only two variables it has one varible its graphs is straight line its graphs is circle
28 A relation A into B in which Domain is not equal to A, is called into function onto function None of these surjective
29 bijective function into function onto function surjective
30 Which of the following diagrams represent into function?
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