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

image
image
image

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

Sr. # Questions Answers Choice
1
2 The total number of subsets that can be formed out of the set {a, b, c} is 1 4 8 12
3 A = B B = C A = C None of these
4 1 12 5 29
5 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
6 In set builder notation the set {0, 1, 2, ............, 100} can be written as
7 A B A' None of these
8 For any set B, BUB' is Is set B Set B' Universal set None of these
9 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
10 The set (Q, .) Forms a group Does not form a group Contains no additive identity Contains no additive inverse
11 The statement that a group can have more than one identity elements is True False Fallacious Some times true
12 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
13 The set {1, -1, 1, -1}, form a group under Addition Multiplication Subtraction None
14 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 0 Does not exist
15 The set of complex numbers forms a group under the binary operation of Addition Multiplication Division Subtraction
16 The graph of a quadratic function is Circle Ellipse Parabola Hexagon
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?
20 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
21 Multiplicative inverse of "1" is 0 -1 1 {0, 1}
22 The multiplicative inverse of x such that x = 0 is -x does not exist 1/x 0
23 The complement of set A relative to universal set U is the set
24 A = C A = B B = C None of these
25 4 3 2 1
26
27 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
28 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
29
30 none of these
Download This Set
×