Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 2 Set, Functions and Groups Online Test

Sr. # Questions Answers Choice
1 {x : xε Z and x < 1} is Singleton set A set with two points Empty set None of these
2 Φ set is the _______ of all sets Subset Union Universal Intersection
3 The set {-1,1} is closed under the binary operation of Addition Multiplication Subtraction Division
4 If x = 1/x for x ∈ R then the value of x is ±1 0 2 4
5 Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then A = B B = C A≠ C A ≠ B
6 If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) = 1 12 5 29
7 Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y = 3 1 2 4
8 If A ⊆ B then A ∪ B is A B A' A ∩B
9 For any set B,B∪B' is Is set B Set B' Universal set
10 The set (Z,+) forms a group Forms a group w.r.t addition Non commutative group w.r.t multiplication Forms a group w.r.t multiplication Doesn't form a group
11 The set Q Forms a group under addition Does not form a group Contains no additive indentity Contains no additive inverse
12 The statement that a group can have more than one identity elements is True False Fallacious Some times true
13 The set of all positive even integers is Not a group A group w.r.t subtraction A group w.r.t division A group w.r.t multiplication
14 The set {1,-1, i, -i} form a group under Addition Multiplication Subtraction None
15 The multiplicative inverse of -1 in the set {1-,1} is 1 -1 ±1 0 Does not exist
16 The set of complex numbers forms a group under the binary operation of Addition none of these Division Subtraction
17 The set of the first elements of the ordered pairs forming a relation is called its Function on B Range Domain A into B
18 The set {{a,b}} is Infinite set Singleton set Two points set None
19 Which of the following is the subset of all sets Φ {1,2,3} {Φ} {0}
20 The multiplicative inverse of x such that x = 0 is -x Does not exist 1/x ±1
21 The complement of set A relative to universal set U is the set {x / x∈ A∧ x∈ U} {x / x∉ A∧ x ∈ U} {x / x∈ A and x ∉ U} A-U
22 Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then A≠ C B = C A = B A≠ B
23 Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y = 4 3 2 1
24 For any set X, X∪X is X X' Φ Universal Set
25 G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are 2,2,2 3,3,3 2,2,4 2,3,4
26 Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is -a a +1 -1-a None of these
27 Which of the following has the same value as i113 i -1 -i 1
28 If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2 36 +(-32)i -36+32i 6+(-11)i 0, +(-12)i
29 Under multiplication, solution set of is Groupoid Abelian group Semi group All of these
30 Identity w.r.t intersection in a power set of any set is ∅ Set itself Singleton set {0}
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