ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 If a set S contains n elements then P (S) has ........ number of elements 2<sup>n</sup> 2<sup>n2</sup> 2.n n<sup>2</sup>
2 The set {-1,1} is closed under the binary operation of Addition Multiplication Subtraction Division
3 If x = 1/x for x ∈ R then the value of x is ±1 0 2 4
4 Total number of subsets that can be formed out of the set {a,b,c} is 1 4 8 12
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 In set builder notation the set {0,1,2,........100} can be written as {x / xε B&nbsp;∧ x ≤ 100} {x / x ∈ W&nbsp;∧ x&nbsp;&lt; 101} {x / x ∈ Z ∧ x&nbsp;&lt; 101} The set of first 100 whole numbers
9 If A ⊆ B then A ∪ B is A B A' A ∩B
10 For any set B,B∪B' is Is set B Set B' Universal set
11 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
12 The set Q Forms a group under addition Does not form a group Contains no additive indentity Contains no additive inverse
13 The statement that a group can have more than one identity elements is True False Fallacious Some times true
14 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
15 The set {1,-1, i, -i} form a group under Addition Multiplication Subtraction None
16 The multiplicative inverse of -1 in the set {1-,1} is 1 -1 ±1 0 Does not exist
17 The set of complex numbers forms a group under the binary operation of Addition none of these Division Subtraction
18 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
19 The set of the first elements of the ordered pairs forming a relation is called its Function on B Range Domain A into B
20 The set {{a,b}} is Infinite set Singleton set Two points set None
21 Which of the following is the subset of all sets Φ {1,2,3} {Φ} {0}
22 In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics. 40 30 50 20
23 Multiplicative inverse of "1" is 0 ±1 1 {0,1}
24 The multiplicative inverse of x such that x = 0 is -x Does not exist 1/x ±1
25 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
26 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
27 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
28 For any set X, X∪X is X X' Φ Universal Set
29 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
30 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
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