ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The set {-1, 1} is closed under the binary operation of Addition Multiplication Subtraction Division
2
3 The total number of subsets that can be formed out of the set {a, b, c} is 1 4 8 12
4 A = B B = C A = C None of these
5 1 12 5 29
6 Given X, Y are many 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
7 In set builder notation the set {0, 1, 2, ............, 100} can be written as
8 A B A' None of these
9 For any set B, BUB' is Is set B Set B' Universal set None of these
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 Does not form a group Contains no additive identity 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, 1, -1}, form a group under Addition Multiplication Subtraction None
15 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 0 Does not exist
16 The set of complex numbers forms a group under the binary operation of Addition Multiplication Division Subtraction
17 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
18 The set of the first elements of the ordered pairs forming a relation is called its Function on B Range Domain A into B
19 The set {{a,b}} is Infinite set Singleton set Two points set None
20 Which of the following is the subset of all sets?
21 In a 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 students enrolled for English cannot 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
22 Multiplicative inverse of "1" is 0 -1 1 {0, 1}
23 The multiplicative inverse of x such that x = 0 is -x does not exist 1/x 0
24 The complement of set A relative to universal set U is the set
25 A = C A = B B = C None of these
26 4 3 2 1
27
28 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
29 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 -2 -a None of these
30
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